Matches in SemOpenAlex for { <https://semopenalex.org/work/W4286793564> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W4286793564 abstract "This work is concerned with the proof of emph{a posteriori} error estimates for fully-discrete Galerkin approximations of the Allen-Cahn equation in two and three spatial dimensions. The numerical method comprises of the backward Euler method combined with conforming finite elements in space. For this method, we prove conditional type emph{a posteriori} error estimates in the $L^{}_4(0,T;L^{}_4(Omega))$-norm that depend polynomially upon the inverse of the interface length $epsilon$. The derivation relies crucially on the availability of a spectral estimate for the linearized Allen-Cahn operator about the approximating solution in conjunction with a continuation argument and a variant of the elliptic reconstruction. The new analysis also appears to improve variants of known emph{a posteriori} error bounds in $L_2(H^1)$, $L_infty^{}(L_2^{})$-norms in certain regimes." @default.
- W4286793564 created "2022-07-24" @default.
- W4286793564 creator A5024069838 @default.
- W4286793564 creator A5053861571 @default.
- W4286793564 creator A5084622496 @default.
- W4286793564 date "2019-07-29" @default.
- W4286793564 modified "2023-09-26" @default.
- W4286793564 title "A posteriori error estimates for the Allen-Cahn problem" @default.
- W4286793564 doi "https://doi.org/10.48550/arxiv.1907.12264" @default.
- W4286793564 hasPublicationYear "2019" @default.
- W4286793564 type Work @default.
- W4286793564 citedByCount "0" @default.
- W4286793564 crossrefType "posted-content" @default.
- W4286793564 hasAuthorship W4286793564A5024069838 @default.
- W4286793564 hasAuthorship W4286793564A5053861571 @default.
- W4286793564 hasAuthorship W4286793564A5084622496 @default.
- W4286793564 hasBestOaLocation W42867935641 @default.
- W4286793564 hasConcept C104317684 @default.
- W4286793564 hasConcept C111472728 @default.
- W4286793564 hasConcept C111919701 @default.
- W4286793564 hasConcept C134306372 @default.
- W4286793564 hasConcept C138885662 @default.
- W4286793564 hasConcept C158448853 @default.
- W4286793564 hasConcept C17020691 @default.
- W4286793564 hasConcept C17744445 @default.
- W4286793564 hasConcept C185592680 @default.
- W4286793564 hasConcept C191795146 @default.
- W4286793564 hasConcept C199360897 @default.
- W4286793564 hasConcept C199539241 @default.
- W4286793564 hasConcept C207467116 @default.
- W4286793564 hasConcept C2524010 @default.
- W4286793564 hasConcept C2775918384 @default.
- W4286793564 hasConcept C2777166216 @default.
- W4286793564 hasConcept C2778572836 @default.
- W4286793564 hasConcept C28826006 @default.
- W4286793564 hasConcept C33923547 @default.
- W4286793564 hasConcept C41008148 @default.
- W4286793564 hasConcept C55493867 @default.
- W4286793564 hasConcept C62884695 @default.
- W4286793564 hasConcept C75553542 @default.
- W4286793564 hasConcept C86339819 @default.
- W4286793564 hasConcept C88626702 @default.
- W4286793564 hasConceptScore W4286793564C104317684 @default.
- W4286793564 hasConceptScore W4286793564C111472728 @default.
- W4286793564 hasConceptScore W4286793564C111919701 @default.
- W4286793564 hasConceptScore W4286793564C134306372 @default.
- W4286793564 hasConceptScore W4286793564C138885662 @default.
- W4286793564 hasConceptScore W4286793564C158448853 @default.
- W4286793564 hasConceptScore W4286793564C17020691 @default.
- W4286793564 hasConceptScore W4286793564C17744445 @default.
- W4286793564 hasConceptScore W4286793564C185592680 @default.
- W4286793564 hasConceptScore W4286793564C191795146 @default.
- W4286793564 hasConceptScore W4286793564C199360897 @default.
- W4286793564 hasConceptScore W4286793564C199539241 @default.
- W4286793564 hasConceptScore W4286793564C207467116 @default.
- W4286793564 hasConceptScore W4286793564C2524010 @default.
- W4286793564 hasConceptScore W4286793564C2775918384 @default.
- W4286793564 hasConceptScore W4286793564C2777166216 @default.
- W4286793564 hasConceptScore W4286793564C2778572836 @default.
- W4286793564 hasConceptScore W4286793564C28826006 @default.
- W4286793564 hasConceptScore W4286793564C33923547 @default.
- W4286793564 hasConceptScore W4286793564C41008148 @default.
- W4286793564 hasConceptScore W4286793564C55493867 @default.
- W4286793564 hasConceptScore W4286793564C62884695 @default.
- W4286793564 hasConceptScore W4286793564C75553542 @default.
- W4286793564 hasConceptScore W4286793564C86339819 @default.
- W4286793564 hasConceptScore W4286793564C88626702 @default.
- W4286793564 hasLocation W42867935641 @default.
- W4286793564 hasLocation W42867935642 @default.
- W4286793564 hasOpenAccess W4286793564 @default.
- W4286793564 hasPrimaryLocation W42867935641 @default.
- W4286793564 hasRelatedWork W1973089024 @default.
- W4286793564 hasRelatedWork W2057801831 @default.
- W4286793564 hasRelatedWork W2070855413 @default.
- W4286793564 hasRelatedWork W2362625355 @default.
- W4286793564 hasRelatedWork W2527488224 @default.
- W4286793564 hasRelatedWork W2748800470 @default.
- W4286793564 hasRelatedWork W2901908549 @default.
- W4286793564 hasRelatedWork W2964804939 @default.
- W4286793564 hasRelatedWork W3041373444 @default.
- W4286793564 hasRelatedWork W4286793564 @default.
- W4286793564 isParatext "false" @default.
- W4286793564 isRetracted "false" @default.
- W4286793564 workType "article" @default.