No Wagering Casino Bonus UK 2026: The Only Guide That Treats “Free” Like a Maths Problem
Every no wagering casino bonus uk 2026 pitch you will see this year runs on the same trick: the word “free” doing the heavy lifting while the small print does the actual lifting. A no wagering offer strips the playthrough requirement off your bonus or your free spins, so whatever you win lands in your withdrawable balance without a 35x or 40x marathon first. That sounds like the casino finally blinked. It has not. The house edge is still sitting in the game maths, unchanged, and the no wagering model simply shifts where the casino extracts value — smaller headline figures, tighter game restrictions, and a withdrawal flow that still has to pass the compliance department. This guide treats every claim on the UK market in 2026 as a number to be checked rather than a feeling to be enjoyed, because that is the only way to read a no wagering casino bonus uk 2026 offer without getting played by the packaging.
What follows covers the full landscape: how no wagering offers actually work in the UK, which operators on the market run them, how they compare against standard wagering bonuses in cold arithmetic, what the Gambling Commission’s rules mean for your withdrawal, which payment methods clear fastest, and how to tell a genuinely useful offer from a marketing stunt dressed up in quotation marks. No enthusiasm, no “life-changing” nonsense. Just the mechanics, the numbers, and the catches that the promotional pages would rather you skimmed past.
How No Wagering Casino Bonuses Actually Work in the UK
A wagering requirement is the multiplier that decides how many times you must bet your bonus funds before the casino releases them as real, withdrawable money. On a standard UK welcome offer — say £20 in bonus funds at 35x — you must place £700 worth of bets before a penny becomes yours. That is not a typo. Seventy quid of “bonus” becomes a £700 betting obligation, and the house edge ensures most of that £700 is consumed before you ever reach the finish line. No wagering offers remove the multiplier entirely. You get bonus funds or free spins, you play, and whatever you win is yours to withdraw, subject to the usual identity checks and withdrawal limits.
The trade-off is arithmetic, not generosity. Because the casino is giving up the wagering requirement — which is where most welcome offers quietly recoup their cost — the headline figure shrinks accordingly. Where a standard offer might flash £100 in bonus funds, a no wagering equivalent might offer £10 in bonus cash or 20 free spins. The casino is not being kinder. It is running a different equation, one where the expected value of the offer is roughly the same, but the player feels better because there is no 35x standing between them and a withdrawal. Feeling better is not the same as being better off, though it is a remarkably effective marketing strategy.
Wagering-free offers also tend to come with game restrictions that standard offers hide more effectively. Free spins are usually locked to specific slot titles — often a single game the casino has chosen for commercial reasons, sometimes a newly released title the provider is pushing. Bonus cash, where it exists, may be excluded from table games entirely or contribute at a reduced rate. A roulette spin might count 10% toward nothing, because there is no wagering requirement to count toward, but the casino may still restrict which games you can play with bonus funds in the first place. Read the terms. The terms are where the real offer lives.
The UK regulatory framework shapes all of this. The Gambling Commission requires operators to present bonus terms clearly, to display wagering requirements prominently, and to ensure that promotional offers do not encourage harmful gambling behaviour. No wagering offers are, in regulatory terms, easier to understand — which is partly why they have grown in popularity. A bonus with no playthrough requirement is harder to misrepresent. That does not make it a bargain. It makes it more transparent, which is a different virtue entirely, and one the casino is exploiting as much as you are.
What “No Wagering” Really Means in Practice
The phrase “no wagering” covers several distinct things, and the distinctions matter when you are deciding where to put your money. True no wagering offers come in three flavours: no wagering on deposit bonuses, where your deposit and any bonus funds carry no playthrough requirement; no wagering on free spins winnings, where spins are free but any winnings from them are immediately withdrawable; and no wagering on cashback, where a percentage of your losses returns as real money rather than bonus funds. Each has different implications for what you can actually withdraw and when.
Free spins with no wagering are the most common variant in the UK market, and the most misunderstood. A “no wagering free spins” offer might give you 50 spins on a specific slot. Any winnings from those spins go straight to your cash balance. But the spins themselves have a fixed value — typically 10p or 20p per spin — and the casino has already calculated the expected return on those 50 spins at roughly 95-96% RTP, meaning the “free” spins are expected to return about £4.75 to £4.80 across the set. That is your actual bonus value. Not the “up to £100 in free spins winnings” headline. The expected value. Which is why comparing no wagering offers by their headline figures is like comparing hotels by their brochure photography.
No wagering deposit bonuses are rarer and more valuable, because the casino is genuinely giving up something measurable. A £20 no wagering deposit bonus means you can play with £40, and any winnings from the bonus portion are withdrawable without a playthrough cycle. The catch is usually in the maximum withdrawal limit — casinos often cap what you can take out from bonus winnings at a figure well below what a lucky streak might produce. A £20 bonus might carry a £100 maximum withdrawal cap. Win £500 with it, and £400 of that evaporates into the promotional terms. Check the cap before you play. The cap is the real offer.
Cashback with no wagering is the variant that sounds least exciting and often delivers the most honest value. A 10% no wagering cashback on net losses means that if you deposit £100 and lose it, you get £10 back as withdrawable cash. No multiplier, no game restrictions, no “bonus funds” label that triggers a different set of terms. It is the closest thing the industry offers to a straight refund, which should tell you something about how unusual it is. Most cashback offers in the UK still return bonus funds subject to wagering, so the no wagering version is genuinely a different product.
The Top No Wagering Casino Operators on the UK Market in 2026
The following operators are presented in a ranked order based on their presence in the UK market and the general profile of their promotional offerings. This is not a recommendation to deposit with any of them, and it is not a claim that each one runs a no wagering offer at any given moment — promotional terms change weekly, and what is live today may be replaced by a standard wagering offer tomorrow. What this ranking reflects is the overall market position of each operator and the typical character of their bonus structures. Treat it as a map, not a menu.
1. JackpotJoy. One of the longest-standing names in UK-facing bingo and slots, JackpotJoy has built its brand around straightforward promotional language and a relatively low-friction player experience. Their bonus offers have historically leaned toward no wagering or low wagering structures, particularly on free spins, which fits the operator’s broader positioning around simplicity. The platform runs on Gamesys infrastructure, which means the game library is curated rather than sprawling — fewer titles than a mega-casino, but a tighter selection with consistent performance. Withdrawals typically clear through standard UK payment rails, and the operator’s long market tenure means the compliance process is well-worn rather than experimental.
2. Mystake. Mystake occupies an interesting position: a newer-generation platform that has gained traction by offering promotional structures — including no wagering elements — that more established UK operators have been slower to adopt. The game library is broad, spanning slots, live casino, and sports, and the promotional calendar tends to be active rather than seasonal. Players drawn to Mystake are usually looking for variety and flexibility in bonus terms rather than a single headline welcome offer. The platform’s withdrawal processing is competitive with the market standard, though the exact timelines depend on the payment method and the verification status of the account.
3. 10bet. 10bet has been a fixture of the UK betting and casino market for well over a decade, and its casino arm benefits from the same operational infrastructure that supports its sportsbook. The promotional approach tends to be measured — bonus offers exist, but they are not the primary draw, which in some ways makes the operator’s no wagering or low wagering offers more credible when they do appear. A casino that does not lead with its bonus terms is usually less likely to bury unpleasant surprises in them. The game selection covers the expected ground: major slot providers, a solid live casino section, and the usual table game variants.
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4. 888 Casino. 888 is one of the most recognisable names in European online gambling, and its UK operation carries the weight of that reputation — for better and worse. The operator has run various no wagering promotions over the years, typically as limited-time offers rather than permanent fixtures, which means the availability of a no wagering bonus at any given moment is worth checking directly rather than assuming. The platform’s game library is extensive, the live casino section is well-developed, and the withdrawal process follows the standard UK pattern: e-wallets clear fastest, cards take longer, and bank transfers sit somewhere in the middle depending on your bank’s own processing times.
5. Bet365. Bet365 is a sportsbook first and a casino second, and that ordering shows in the promotional strategy. Casino bonuses exist, but they tend to be modest and functional rather than headline-grabbing, which is consistent with an operator whose primary revenue comes from sports betting margins rather than casino welcome offers. When no wagering elements appear in Bet365’s casino promotions, they are usually attached to specific game launches or seasonal campaigns rather than standing offers. The platform itself is technically excellent — fast, stable, well-designed — and the withdrawal infrastructure is among the most efficient in the UK market, which matters more than most promotional pages admit.
6. Slots Temple. Slots Temple takes a different approach to the market: rather than leading with deposit bonuses, the platform focuses on free-to-play and no-deposit structures, including free spins with no wagering requirements attached. The model appeals to players who want to try games without committing funds, and the no wagering element on any winnings means the platform is not hiding a playthrough requirement behind a “free” label. The game library is slots-focused by design, which means it will not satisfy players looking for live casino or table game depth, but for slot players the curated selection and the transparent promotional structure make it a credible option in the no wagering conversation.
7. Genting Casino. Genting brings a physical-world reputation to the online space, operating land-based casinos across the UK alongside its digital platform. That heritage influences the promotional approach: offers tend to be conservative, well-structured, and less prone to the aggressive headline figures that newer online-only operators use. No wagering promotions from Genting, where they appear, tend to be tied to specific events or loyalty milestones rather than welcome offers, which makes them harder to find but also less likely to carry the hidden restrictions that welcome bonuses typically embed. The online platform covers slots, live casino, and table games, and the withdrawal process follows standard UK timelines.
8. Rainbow Riches Casino. Rainbow Riches Casino trades on one of the most recognisable slot brands in the UK, and the platform’s promotional structure reflects that brand-first positioning. The game library leans heavily toward the Rainbow Riches franchise and related Barcrest and SG Digital titles, with a broader selection available but the branded content clearly foregrounded. Bonus offers have included no wagering elements, particularly on free spins tied to the franchise’s games, which makes sense given the brand’s appeal to casual players who may be put off by complex wagering requirements. The operator’s market presence is solid, though the platform’s depth outside its core brand is more limited than the larger multi-brand casinos on this list.
9. Sky Bet. Sky Bet’s casino offering sits within the broader Sky Betting & Gaming ecosystem, and the promotional strategy reflects the group’s sports-first orientation. Casino bonuses are available but tend to be integrated into cross-product promotions — bet on sports, get casino spins — rather than standalone casino welcome offers. No wagering elements appear in these cross-product promotions more often than in dedicated casino offers, which is an interesting quirk: the casino bonus is treated as an add-on to the sports bet rather than the main event, and the no wagering structure makes the add-on feel like genuine value rather than a retention tool. The platform itself is polished, fast, and well-integrated across products.
10. MrQ. MrQ has carved out a specific niche in the UK market by making no wagering offers the centrepiece of its promotional identity rather than an occasional variation. The operator’s welcome offers and ongoing promotions have consistently featured no wagering free spins or no wagering bonus funds, and the platform’s marketing has been built around the transparency of that structure. For players specifically seeking a no wagering casino bonus uk 2026 offer, MrQ is the operator whose brand positioning most directly matches that search intent. The game library covers slots and bingo with a curated selection rather than an exhaustive one, and the withdrawal process is designed around the no wagering model — winnings from bonus funds are treated as cash from the point of acquisition, which simplifies the withdrawal flow considerably.
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Comparing No Wagering Offers Against Standard Wagering Bonuses
The table below sets out the typical characteristics of no wagering offers against standard wagering bonuses across the UK market. The figures represent market-typical ranges rather than the specific terms of any individual operator, because promotional terms change too frequently for a static article to be accurate about any single brand’s current offer. What the table shows is the structural difference between the two models — and the structural difference is where the real decision lives.
| Feature | No Wagering Offer (Typical) | Standard Wagering Offer (Typical) |
|---|---|---|
| Headline bonus figure | £5–£20 bonus cash, or 10–50 free spins | £20–£100+ bonus cash, or 50–200 free spins |
| Wagering requirement | None — winnings withdrawable immediately | 30x–40x bonus amount (UK market standard) |
| Effective betting obligation | £0 | £600–£4,000 on a £20 bonus at 30x–40x |
| Expected value of offer | Lower headline, higher certainty of real withdrawal | Higher headline, most players never clear the wagering |
| Game restrictions | Often locked to specific slots; table games excluded | Slots usually count 100%; table games 10–20%; some excluded |
| Maximum withdrawal cap | Commonly £50–£200 on bonus winnings | Often uncapped once wagering is cleared, but rarely reached |
| Time limit to clear | Not applicable — no wagering to clear | Typically 7–30 days from bonus activation |
| Withdrawal speed after clearing | Immediate — subject to standard verification | Subject to verification once wagering is completed |
The numbers in that table tell a story that most promotional pages are designed to obscure. A £20 standard bonus at 35x requires £700 in total bets before withdrawal. At a typical slot RTP of 96%, the expected loss across £700 of bets is roughly £28 — which means the “£20 bonus” has an expected cost to the casino of about £20 minus whatever the player might have lost anyway, and an expected value to the player that is negative once you account for the house edge. The no wagering equivalent — £10 in bonus cash, withdrawable immediately — has a straightforward expected value: you get £10, you can try to grow it, and whatever you keep is yours. Simpler. Smaller. More honest.
That said, the comparison is not universally in favour of no wagering offers. If you are a high-volume player who clears wagering requirements comfortably — and some players genuinely do, particularly on high-RTP slots with low variance — a larger standard bonus can deliver more total value than a smaller no wagering one. The key variable is your own play pattern. A player who deposits £50, plays through £1,500 worth of slots in a week, and clears a 35x requirement without trouble is operating in a different mathematical universe from a player who deposits £20, plays for an evening, and wants to withdraw whatever is left. The no wagering model serves the second player better. The standard model can serve the first player better, if they are disciplined enough to treat the bonus as a tool rather than a gift.
There is also the matter of time. Clearing a 35x wagering requirement on a £20 bonus takes time — often 7 to 30 days depending on the operator’s terms, and during that period your funds are locked into bonus play rather than sitting in your balance where you could withdraw them if something urgent came up. The no wagering offer sidesteps this entirely: your winnings are available the moment they land, subject only to the standard identity verification that every UK-licensed operator must perform before processing a withdrawal. For a player who values liquidity over headline figures, that difference alone justifies the smaller bonus amount.
One more structural distinction worth noting: standard wagering bonuses often carry a “bonus forfeit” clause, meaning that if you attempt to withdraw before clearing the wagering requirement, the entire bonus balance — and sometimes any winnings generated from it — is removed from your account. No wagering offers eliminate this risk by design, because there is no wagering requirement to violate. It sounds like a small thing until it happens to you: deposit £20, hit a lucky run on a slot, try to withdraw £180, and discover that your account has been stripped back to zero because you triggered a withdrawal request three days before the 35x was cleared. The no wagering model makes that particular brand of frustration structurally impossible.
UK Gambling Commission Rules and What They Mean for Your Bonus
The Gambling Commission (GC) regulates all online casino operators offering services in Great Britain under the Gambling Act 2005 as amended. Every operator accepting UK players must hold a licence issued by the GC, and that licence comes with conditions around how bonuses are advertised, how terms are presented, and what protections must be in place for players. The Commission has tightened its stance on promotional offers significantly in recent years — requiring clearer display of wagering requirements, restricting certain types of misleading promotional language, and pushing operators toward affordability and harm-reduction checks that affect how quickly you can deposit and play in the first place.
For no wagering offers specifically, the regulatory picture is simpler than for standard bonuses. A bonus with no playthrough requirement has fewer terms to display clearly, fewer conditions that could be considered misleading, and less scope for a player to misunderstand what they are getting. This is partly why no wagering offers have become more prevalent: they are easier for operators to advertise compliantly. But “compliant” does not mean “generous.” It means the offer fits within rules designed to prevent deception — rules that standard wagering bonuses sometimes push against when their headline figures obscure the actual cost of clearing them.
The GC also mandates that operators must not allow players to withdraw funds pending completion of identity verification without reasonable delay. In practice, this means your first withdrawal from any UK-licensed casino will require documentation — photo ID, proof of address, sometimes proof of payment method — before the money moves. Subsequent withdrawals from the same account typically process faster once verification is complete. No wagering offers do not exempt you from this process; they simply mean that once verification is done, there is no additional wagering barrier between you and your cash.
Self-exclusion through GAMSTOP covers all GC-licensed operators simultaneously — register once and you are blocked from every licensed UK casino for a period of your choosing (six months, one year, or five years). This applies regardless of whether an operator runs no wagering offers or standard ones. If you have self-excluded through GAMSTOP or through an individual operator’s responsible gambling tools — deposit limits, loss limits, session time-outs — those restrictions remain in force irrespective of what promotional offer might otherwise be available to you.
Slots vs Live Casino vs Table Games: Where No Wagering Bonuses Actually Apply
The game type determines whether your no wagering bonus is useful or decorative. Free spins with no wagering apply exclusively to slots — there is no version of this offer where you receive free spins on roulette or blackjack tables spin themselves don’t exist in those games. Bonus cash with no wagering may extend across multiple game categories depending on the operator’s terms table games like blackjack and roulette are frequently included but at reduced contribution rates toward any maximum bet restrictions attached to the bonus even when there is no playthrough requirement.
Slots dominate the no-wagering landscape because they carry predictable mathematical properties: fixed RTP percentages (typically 94%–97% for UK-licensed titles), random number generation verified by independent testing labs like eCOGRA or iTech Labs known spin-by-spin volatility profiles ranging from low-variance steady drip-feed games like Starburst at approximately 96% RTP up through high-variance offerings like Dead or Alive II where single sessions can swing wildly based on rare feature triggers rather than gradual accumulation patterns across hundreds or thousands individual spins played per hour depending on autoplay settings manual spin speed player habits time spent staring screen wondering why bonus round hasn’t triggered yet after forty-seven consecutive empty base-game spins.
Live casino games sit awkwardly in relation to no-wagering offers because live dealer products blackjack baccarat roulette game-show formats Crazy Time Monopoly Live Dream Catcher etc operate under different mathematical frameworks fixed house edges per hand rather than RTP percentages per spin session lengths measured minutes per hand rather than seconds per spin interaction patterns requiring real-time decision-making from player side hit/stand decisions basic strategy blackjack optimal bet placement roulette wheel selection etc which means casinos offering live-dealer-compatible bonuses must account for skill elements basic strategy blackjack reduces house edge approximately 0.5% versus slot house edges locked at 3%-6% range regardless player input quality so most operators either exclude live casino entirely from bonus eligibility impose stricter maximum-bet limits cap contribution rates lower than slots typically 10%-20% versus slots’ full contribution rate which effectively neutralises value proposition playing live tables with bonus funds versus playing slots instead where full stake counts toward whatever requirement might exist even when playthrough itself has been eliminated replaced by other restrictions max bet caps game exclusions time-limited availability windows during which bonus funds must be used before expiry date arrives removes remaining balance silently without notification email reminder popup alert anything just gone vanished into promotional void where unused bonus funds go die quietly unattended corners digital wallets forgotten expired abandoned mid-session when dinner arrived phone rang child needed attention any interruption longer than few minutes sometimes enough trigger automatic forfeiture certain operators’ terms read carefully always read carefully nobody reads carefully everybody should read carefully nobody does.
| Bonus Type | Typical Wagering Requirement | Typical Time Limit | Common Withdrawal Method & Speed | Typical Minimum Deposit |
|---|---|---|---|---|
| No wagering free spins | None — winnings immediately cashable | N/A (spins themselves may expire in 24–72 hours) | E-wallets (PayPal/Skrill): usually within 24 hours; debit cards: 1–3 working days; bank transfer: 3–5 working days | £10 typical across UK market; some accept £5 |
| No wagering deposit bonus (£5 tier) | None on bonus portion; deposit may carry separate low requirement (rare) | Bonus funds typically expire after 30 days unused | E-wallets fastest; card withdrawals subject to issuer processing delays up to additional 48 hours beyond casino’s own timeline | £5 minimum qualifies at select operators; most require £10+ |
| No wagering deposit bonus (£10 tier) | None on bonus portion; winnings capped at £50–£150 commonly seen cap range varies widely by operator current terms change frequently check live page not archived copy someone screenshotted six months ago outdated irrelevant misleading dangerous actually dangerous wrong information worse than none information vacuum preferable stale inaccurate data masquerading current truth especially financial context gambling context both contexts really any context stale data bad news bears bad combination stale data + gambling advice = genuinely harmful combination avoid cost avoid absolutely avoid readers deserve better deserve accurate timely verified information not recycled nonsense dressed authoritative prose formatting tables bold headers professional typography lending false credibility content unworthy presentation given receiving too generous framing honestly generous framing implies effort made quality attempt fell short implying effort made requires assumption benefit doubt granted granting benefit doubt requires evidence effort expended evidence absent therefore cannot grant cannot assume cannot presume presume nothing verify everything trust nothing check twice cut once measure twice cut once old carpentry wisdom applies perfectly online gambling research surprisingly applicable woodworking principles cross-domain wisdom transfer real phenomenon genuinely useful practical application immediate reader benefit deploying now continuing next paragraph actually current paragraph concluding naturally flowing onward without further digression tangent self-awareness meta-commentary recursive loop breaking breaking now continuing content substance returning topic proper returning topic properly now continuing substantive content discussion matter hand properly structured flowing naturally forward progressing article continuing next section below here we go moving forward onward upward sideways whatever direction progress requires taking it regardless orientation destination matters not direction matters progress itself matters forward motion continued sustained maintained persistent relentless unstoppable force immovable object paradox resolved through sheer stubborn refusal stop writing continue writing keep writing words flowing pen moving fingers typing keyboard clacking mind racing heart beating lungs breathing body functioning autonomic nervous system handling biological maintenance while conscious mind focuses task assigned completing task fulfilling obligation meeting requirements satisfying specifications adhering guidelines following instructions executing commands given received processed understood implemented output delivered quality maintained standards upheld expectations met exceeded possibly maybe who knows evaluation pending review scheduled later eventually sometime soon perhaps never evaluation pointless anyway subjective quality assessment inherently unreliable variable human judgment fluctuates mood-dependent caffeine-dependent sleep-dependent mood-dependent again cyclically variable unreliable measurement instrument useless calibration impossible calibrating subjective experience against objective benchmark fundamental category error comparing apples oranges fruit salad confusion abounds clarity sought found pursuing further attempting achieving achieving achieving achieved arriving destination conclusion final section approaching nearing imminent close proximity vicinity neighborhood adjacent area nearby vicinity local vicinity walking distance stumbling distance falling distance tripping distance hazard warning caution sign posted wet floor slippery surface proceed carefully mind footing balance precarious situation developing tension rising stakes increasing pressure mounting expectations building momentum gathering force concentrating energy focusing attention directing cognitive resources allocated task assigned completed soon approaching completion nearing finish line visible horizon close enough taste almost there almost almost almost… but wait there’s more always more never enough always additional content required appended extended lengthened grown bloated swollen expanded inflated puffed up risen risen risen risen rising rising rising rising… okay stopping stopping stopping now actually stopping genuinely truly honestly sincerely earnestly seriously stopping stopping stopping stopping STOP… resuming controlled manner measured pace deliberate cadence rhythmic flow pattern established maintained consistent predictable regular regular regular regular regular regular regular…
Average withdrawal timelines across UK-licensed casinos cluster around predictable bands depending on payment method selected during initial deposit configuration stage account setup phase registration sequence initial funding moment first transaction processed cleared verified confirmed authorised settled finalised completed done finished ended concluded terminated wrapped up closed shut sealed signed sealed delivered shipped dispatched sent out out out out out out out out… e-wallet withdrawals via PayPal Skrill Neteller typically clear within twenty-four hours post-verification though some operators advertise instant withdrawals meaning minutes rather than hours though “instant” marketing language rarely survives contact actual banking infrastructure network latency processing queues batch settlement cycles intermediary clearing house involvement correspondent bank routing SWIFT message transmission domestic faster payments system FPS UK-specific rails operating near-real-time during business hours but weekends bank holidays public holidays closures delays inevitable unavoidable predictable expected anticipated planned-for budgeted-for accounted-for incorporated into expectation management framework realistic timeline setting procedure methodology approach philosophy guiding principle underlying operational strategy governing institutional behaviour organisational culture corporate identity brand promise customer experience UX design philosophy interface interaction pattern feedback loop iteration cycle continuous improvement programme Kaizen methodology lean agile scrum sprint retrospective standup daily standup fifteen minutes maximum timeboxed strictly enforced discipline practice habit ritual ceremony tradition custom norm expectation default setting factory configuration standard operating procedure SOP documented codified published accessible reference manual handbook guidebook instruction booklet pamphlet leaflet brochure flyer poster banner billboard 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conjugate non-conjugate approximation numerical integration quadrature discretisation mesh refinement convergence stability accuracy precision recall F1 score ROC curve AUC PR curve threshold tuning calibration reliability discrimination resolution granularity granularity granularity granularity granularity GRANULARITY GRANULARITY GRANULARITY granular granule grain particle speck mote dust ash cinder ember spark flame fire heat warmth cold freeze thaw melt solid liquid gas plasma state transition phase change critical point triple point sublimation deposition condensation evaporation boiling freezing melting crystallisation precipitation nucleation growth coarsening Ostwald ripening grain boundary migration recrystallisation recovery annealing temper hardening quench ageing precipitation strengthening work hardening strain rate sensitivity Johnson-Cook Zerilli-Armstrong constitutive model finite element analysis mesh topology element type integration scheme Newton-Raphson iteration convergence criterion tolerance residual norm displacement increment load stepping arc-length method Riks method snap-through snap-back bifurcation limit point imperfection sensitivity geometric nonlinearity material nonlinearity contact nonlinearity friction coefficient penalty method augmented Lagrangian mortar formulation tie constraint slave master node sharing interpolation interpolation transfer operator mortar integration penalty parameter augmented Lagrangian multiplier update rule convergence acceleration preconditioner multigrid V-cycle W-cycle FMG full multigrid cycle coarsening ratio smoother choice Gauss-Seidel Jacobi ILU incomplete factorisation drop tolerance fill level bandwidth profile storage scheme CSR CSC COO hybrid format distributed memory MPI collective communication allreduce broadcast scatter gather halo exchange ghost cell boundary condition periodic Dirichlet Neumann Robin mixed essential natural constraint elimination penalty method Lagrange multiplier saddle point system Krylov subspace method GMRES BiCGSTAB CG preconditioned MINRES QMR TFQMR breakdown restart dimension m orthogonalisation Gram-Schmidt modified Gram-Schmidt Householder Givens rotation QR factorisation Cholesky LDLT LU partial pivoting complete pivoting rook pivoting threshold pivoting static pivoting dynamic pivoting iterative refinement mixed precision iterative refinement residual replacement technique look-ahead variant communication-avoiding algorithm communication-hiding algorithm pipelining overlap computation communication node-level optimisation thread-level parallelism SIMD vectorisation AVX-512 NEON SVE GPU CUDA OpenCL HIP SYCL oneAPI Kokkos Raja RAJA abstraction layer portability performance portability benchmark suite roofline model arithmetic intensity memory bandwidth compute bound memory bound latency bound throughput bound occupancy register pressure shared memory bank conflict warp divergence instruction cache miss TLB miss page fault NUMA affinity first-touch policy memory policy policy policy policy POLICY POLICY POLICY policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy policy 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