Matches in SemOpenAlex for { <https://semopenalex.org/work/W3188551570> ?p ?o ?g. }
- W3188551570 abstract "Pavarino proved that the additive Schwarz method with vertex patches and a low-order coarse space gives a $p$-robust solver for symmetric and coercive problems. However, for very high polynomial degree it is not feasible to assemble or factorize the matrices for each patch. In this work we introduce a direct solver for separable patch problems that scales to very high polynomial degree on tensor product cells. The solver constructs a tensor product basis that diagonalizes the blocks in the stiffness matrix for the internal degrees of freedom of each individual cell. As a result, the non-zero structure of the cell matrices is that of the graph connecting internal degrees of freedom to their projection onto the facets. In the new basis, the patch problem is as sparse as a low-order finite difference discretization, while having a sparser Cholesky factorization. We can thus afford to assemble and factorize the matrices for the vertex-patch problems, even for very high polynomial degree. In the non-separable case, the method can be applied as a preconditioner by approximating the problem with a separable surrogate." @default.
- W3188551570 created "2021-08-16" @default.
- W3188551570 creator A5001416198 @default.
- W3188551570 creator A5023762935 @default.
- W3188551570 date "2021-07-30" @default.
- W3188551570 modified "2023-09-27" @default.
- W3188551570 title "A scalable and robust preconditioner for high-order FEM based on the fast diagonalization method." @default.
- W3188551570 cites W105972517 @default.
- W3188551570 cites W1548892666 @default.
- W3188551570 cites W1565416348 @default.
- W3188551570 cites W1708679080 @default.
- W3188551570 cites W1970939088 @default.
- W3188551570 cites W1985144286 @default.
- W3188551570 cites W1996764269 @default.
- W3188551570 cites W2002596607 @default.
- W3188551570 cites W2028065668 @default.
- W3188551570 cites W2029725158 @default.
- W3188551570 cites W2030202825 @default.
- W3188551570 cites W2040651749 @default.
- W3188551570 cites W2051751432 @default.
- W3188551570 cites W2053572944 @default.
- W3188551570 cites W2062002217 @default.
- W3188551570 cites W2064037951 @default.
- W3188551570 cites W2077186677 @default.
- W3188551570 cites W2078229874 @default.
- W3188551570 cites W2085581918 @default.
- W3188551570 cites W2087955796 @default.
- W3188551570 cites W2089024363 @default.
- W3188551570 cites W2107252004 @default.
- W3188551570 cites W2107894753 @default.
- W3188551570 cites W2117686912 @default.
- W3188551570 cites W2140153041 @default.
- W3188551570 cites W2585522788 @default.
- W3188551570 cites W2607476412 @default.
- W3188551570 cites W2782782127 @default.
- W3188551570 cites W2963064249 @default.
- W3188551570 cites W3023870838 @default.
- W3188551570 cites W3099299211 @default.
- W3188551570 hasPublicationYear "2021" @default.
- W3188551570 type Work @default.
- W3188551570 sameAs 3188551570 @default.
- W3188551570 citedByCount "0" @default.
- W3188551570 crossrefType "posted-content" @default.
- W3188551570 hasAuthorship W3188551570A5001416198 @default.
- W3188551570 hasAuthorship W3188551570A5023762935 @default.
- W3188551570 hasConcept C11413529 @default.
- W3188551570 hasConcept C121332964 @default.
- W3188551570 hasConcept C126255220 @default.
- W3188551570 hasConcept C134306372 @default.
- W3188551570 hasConcept C135628077 @default.
- W3188551570 hasConcept C158693339 @default.
- W3188551570 hasConcept C167431342 @default.
- W3188551570 hasConcept C187834632 @default.
- W3188551570 hasConcept C202444582 @default.
- W3188551570 hasConcept C2778406171 @default.
- W3188551570 hasConcept C2778770139 @default.
- W3188551570 hasConcept C28826006 @default.
- W3188551570 hasConcept C33923547 @default.
- W3188551570 hasConcept C51255310 @default.
- W3188551570 hasConcept C62520636 @default.
- W3188551570 hasConcept C6802819 @default.
- W3188551570 hasConcept C73000952 @default.
- W3188551570 hasConcept C84545080 @default.
- W3188551570 hasConcept C90119067 @default.
- W3188551570 hasConcept C97355855 @default.
- W3188551570 hasConceptScore W3188551570C11413529 @default.
- W3188551570 hasConceptScore W3188551570C121332964 @default.
- W3188551570 hasConceptScore W3188551570C126255220 @default.
- W3188551570 hasConceptScore W3188551570C134306372 @default.
- W3188551570 hasConceptScore W3188551570C135628077 @default.
- W3188551570 hasConceptScore W3188551570C158693339 @default.
- W3188551570 hasConceptScore W3188551570C167431342 @default.
- W3188551570 hasConceptScore W3188551570C187834632 @default.
- W3188551570 hasConceptScore W3188551570C202444582 @default.
- W3188551570 hasConceptScore W3188551570C2778406171 @default.
- W3188551570 hasConceptScore W3188551570C2778770139 @default.
- W3188551570 hasConceptScore W3188551570C28826006 @default.
- W3188551570 hasConceptScore W3188551570C33923547 @default.
- W3188551570 hasConceptScore W3188551570C51255310 @default.
- W3188551570 hasConceptScore W3188551570C62520636 @default.
- W3188551570 hasConceptScore W3188551570C6802819 @default.
- W3188551570 hasConceptScore W3188551570C73000952 @default.
- W3188551570 hasConceptScore W3188551570C84545080 @default.
- W3188551570 hasConceptScore W3188551570C90119067 @default.
- W3188551570 hasConceptScore W3188551570C97355855 @default.
- W3188551570 hasLocation W31885515701 @default.
- W3188551570 hasOpenAccess W3188551570 @default.
- W3188551570 hasPrimaryLocation W31885515701 @default.
- W3188551570 hasRelatedWork W1832397524 @default.
- W3188551570 hasRelatedWork W1977642111 @default.
- W3188551570 hasRelatedWork W2026115573 @default.
- W3188551570 hasRelatedWork W2041636959 @default.
- W3188551570 hasRelatedWork W2043501404 @default.
- W3188551570 hasRelatedWork W2047567399 @default.
- W3188551570 hasRelatedWork W2097984621 @default.
- W3188551570 hasRelatedWork W2100723968 @default.
- W3188551570 hasRelatedWork W2129761574 @default.
- W3188551570 hasRelatedWork W2154122992 @default.
- W3188551570 hasRelatedWork W2279119028 @default.
- W3188551570 hasRelatedWork W2548227680 @default.