Matches in SemOpenAlex for { <https://semopenalex.org/work/W3204208144> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W3204208144 endingPage "7631" @default.
- W3204208144 startingPage "7609" @default.
- W3204208144 abstract "Abstract The dual formulation for linear elasticity, in contrast to the primal formulation, is not affected by locking, as it is based on the stresses as main unknowns. Thus it is quite attractive for nearly incompressible and incompressible materials. Discretization with mixed finite elements will lead to—possibly large—linear saddle point systems. Whereas efficient multigrid methods exist for solving problems in mixed plane elasticity for nearly incompressible materials, we propose a multigrid method that is also stable in the incompressible limit. There are two main challenges in constructing a multigrid method for the dual formulation for linear elasticity. First, in the incompressible limit, the matrix block related to the stress is positive semidefinite. Second, the stress belongs to and standard smoothers, working for regular problems, cannot be applied. We present a novel patch‐based smoother for the dual formulation for linear elasticity. We discuss different types of local boundary conditions for the patch subproblems. Based on our patch‐smoother, we build a multigrid method for the solution of the resulting saddle point problem and investigate its efficiency and robustness. Numerical experiments show that Dirichlet and Robin conditions work best and eventually lead to textbook multigrid performance." @default.
- W3204208144 created "2021-10-11" @default.
- W3204208144 creator A5051283767 @default.
- W3204208144 creator A5052850078 @default.
- W3204208144 date "2021-10-20" @default.
- W3204208144 modified "2023-09-24" @default.
- W3204208144 title "Patch‐smoother and multigrid for the dual formulation for linear elasticity" @default.
- W3204208144 cites W1584365460 @default.
- W3204208144 cites W1975919514 @default.
- W3204208144 cites W1986812736 @default.
- W3204208144 cites W1987535721 @default.
- W3204208144 cites W1997057951 @default.
- W3204208144 cites W2005047411 @default.
- W3204208144 cites W2008215882 @default.
- W3204208144 cites W2010804587 @default.
- W3204208144 cites W2017085690 @default.
- W3204208144 cites W2029338104 @default.
- W3204208144 cites W2033986961 @default.
- W3204208144 cites W2035928093 @default.
- W3204208144 cites W2038798795 @default.
- W3204208144 cites W2075896209 @default.
- W3204208144 cites W2103149966 @default.
- W3204208144 cites W2111985708 @default.
- W3204208144 cites W2130618992 @default.
- W3204208144 cites W2156629649 @default.
- W3204208144 cites W22890336 @default.
- W3204208144 cites W2962981225 @default.
- W3204208144 cites W3099612216 @default.
- W3204208144 cites W592368443 @default.
- W3204208144 doi "https://doi.org/10.1002/nme.6845" @default.
- W3204208144 hasPublicationYear "2021" @default.
- W3204208144 type Work @default.
- W3204208144 sameAs 3204208144 @default.
- W3204208144 citedByCount "1" @default.
- W3204208144 countsByYear W32042081442023 @default.
- W3204208144 crossrefType "journal-article" @default.
- W3204208144 hasAuthorship W3204208144A5051283767 @default.
- W3204208144 hasAuthorship W3204208144A5052850078 @default.
- W3204208144 hasBestOaLocation W32042081442 @default.
- W3204208144 hasConcept C121332964 @default.
- W3204208144 hasConcept C121854251 @default.
- W3204208144 hasConcept C126255220 @default.
- W3204208144 hasConcept C134306372 @default.
- W3204208144 hasConcept C135628077 @default.
- W3204208144 hasConcept C137119250 @default.
- W3204208144 hasConcept C2524010 @default.
- W3204208144 hasConcept C2681867 @default.
- W3204208144 hasConcept C28826006 @default.
- W3204208144 hasConcept C3161131 @default.
- W3204208144 hasConcept C33923547 @default.
- W3204208144 hasConcept C57879066 @default.
- W3204208144 hasConcept C6802819 @default.
- W3204208144 hasConcept C73000952 @default.
- W3204208144 hasConcept C84655787 @default.
- W3204208144 hasConcept C93779851 @default.
- W3204208144 hasConcept C97355855 @default.
- W3204208144 hasConceptScore W3204208144C121332964 @default.
- W3204208144 hasConceptScore W3204208144C121854251 @default.
- W3204208144 hasConceptScore W3204208144C126255220 @default.
- W3204208144 hasConceptScore W3204208144C134306372 @default.
- W3204208144 hasConceptScore W3204208144C135628077 @default.
- W3204208144 hasConceptScore W3204208144C137119250 @default.
- W3204208144 hasConceptScore W3204208144C2524010 @default.
- W3204208144 hasConceptScore W3204208144C2681867 @default.
- W3204208144 hasConceptScore W3204208144C28826006 @default.
- W3204208144 hasConceptScore W3204208144C3161131 @default.
- W3204208144 hasConceptScore W3204208144C33923547 @default.
- W3204208144 hasConceptScore W3204208144C57879066 @default.
- W3204208144 hasConceptScore W3204208144C6802819 @default.
- W3204208144 hasConceptScore W3204208144C73000952 @default.
- W3204208144 hasConceptScore W3204208144C84655787 @default.
- W3204208144 hasConceptScore W3204208144C93779851 @default.
- W3204208144 hasConceptScore W3204208144C97355855 @default.
- W3204208144 hasFunder F4320320924 @default.
- W3204208144 hasIssue "24" @default.
- W3204208144 hasLocation W32042081441 @default.
- W3204208144 hasLocation W32042081442 @default.
- W3204208144 hasOpenAccess W3204208144 @default.
- W3204208144 hasPrimaryLocation W32042081441 @default.
- W3204208144 hasRelatedWork W2021837978 @default.
- W3204208144 hasRelatedWork W2295047789 @default.
- W3204208144 hasRelatedWork W2353973086 @default.
- W3204208144 hasRelatedWork W240948612 @default.
- W3204208144 hasRelatedWork W2501988474 @default.
- W3204208144 hasRelatedWork W3176670060 @default.
- W3204208144 hasRelatedWork W4255218996 @default.
- W3204208144 hasRelatedWork W4301599385 @default.
- W3204208144 hasRelatedWork W774524170 @default.
- W3204208144 hasRelatedWork W2483984343 @default.
- W3204208144 hasVolume "122" @default.
- W3204208144 isParatext "false" @default.
- W3204208144 isRetracted "false" @default.
- W3204208144 magId "3204208144" @default.
- W3204208144 workType "article" @default.