Matches in SemOpenAlex for { <https://semopenalex.org/work/W3197734771> ?p ?o ?g. }
- W3197734771 abstract "We propose a family of mixed finite elements that are robust for the nearly incompressible strain gradient model, which is a fourth-order singular perturbed elliptic system. The element is similar to [C. Taylor and P. Hood, Comput. & Fluids, 1(1973), 73-100] in the Stokes flow. Using a uniform discrete B-B inequality for the mixed finite element pairs, we show the optimal rate of convergence that is robust in the incompressible limit. By a new regularity result that is uniform in both the materials parameter and the incompressibility, we prove the method converges with $1/2$ order to the solution with strong boundary layer effects. Moreover, we estimate the convergence rate of the numerical solution to the unperturbed second-order elliptic system. Numerical results for both smooth solutions and the solutions with sharp layers confirm the theoretical prediction." @default.
- W3197734771 created "2021-09-13" @default.
- W3197734771 creator A5011241391 @default.
- W3197734771 creator A5058801480 @default.
- W3197734771 creator A5091449412 @default.
- W3197734771 date "2021-04-30" @default.
- W3197734771 modified "2023-09-24" @default.
- W3197734771 title "Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems" @default.
- W3197734771 cites W135694094 @default.
- W3197734771 cites W1545028272 @default.
- W3197734771 cites W156697995 @default.
- W3197734771 cites W1606961544 @default.
- W3197734771 cites W17930551 @default.
- W3197734771 cites W1970746944 @default.
- W3197734771 cites W1984980836 @default.
- W3197734771 cites W1990225789 @default.
- W3197734771 cites W1991050908 @default.
- W3197734771 cites W1999544762 @default.
- W3197734771 cites W2005349879 @default.
- W3197734771 cites W2005759547 @default.
- W3197734771 cites W2009673783 @default.
- W3197734771 cites W2009985306 @default.
- W3197734771 cites W2014293274 @default.
- W3197734771 cites W2026711180 @default.
- W3197734771 cites W2037818443 @default.
- W3197734771 cites W2038732088 @default.
- W3197734771 cites W2041523977 @default.
- W3197734771 cites W2046914952 @default.
- W3197734771 cites W2050083144 @default.
- W3197734771 cites W2066060458 @default.
- W3197734771 cites W2073370369 @default.
- W3197734771 cites W2077186677 @default.
- W3197734771 cites W2080474385 @default.
- W3197734771 cites W2084113519 @default.
- W3197734771 cites W2131208755 @default.
- W3197734771 cites W2133946902 @default.
- W3197734771 cites W2139094627 @default.
- W3197734771 cites W2148589186 @default.
- W3197734771 cites W2150879147 @default.
- W3197734771 cites W2164000452 @default.
- W3197734771 cites W2170890948 @default.
- W3197734771 cites W2475116443 @default.
- W3197734771 cites W2890918203 @default.
- W3197734771 cites W2976261942 @default.
- W3197734771 cites W3162458095 @default.
- W3197734771 cites W617333099 @default.
- W3197734771 doi "https://doi.org/10.48550/arxiv.2105.00144" @default.
- W3197734771 hasPublicationYear "2021" @default.
- W3197734771 type Work @default.
- W3197734771 sameAs 3197734771 @default.
- W3197734771 citedByCount "0" @default.
- W3197734771 crossrefType "posted-content" @default.
- W3197734771 hasAuthorship W3197734771A5011241391 @default.
- W3197734771 hasAuthorship W3197734771A5058801480 @default.
- W3197734771 hasAuthorship W3197734771A5091449412 @default.
- W3197734771 hasBestOaLocation W31977347711 @default.
- W3197734771 hasConcept C119599485 @default.
- W3197734771 hasConcept C121332964 @default.
- W3197734771 hasConcept C121854251 @default.
- W3197734771 hasConcept C127162648 @default.
- W3197734771 hasConcept C127413603 @default.
- W3197734771 hasConcept C134306372 @default.
- W3197734771 hasConcept C135628077 @default.
- W3197734771 hasConcept C151201525 @default.
- W3197734771 hasConcept C162324750 @default.
- W3197734771 hasConcept C163892269 @default.
- W3197734771 hasConcept C2524010 @default.
- W3197734771 hasConcept C2777303404 @default.
- W3197734771 hasConcept C33923547 @default.
- W3197734771 hasConcept C38349280 @default.
- W3197734771 hasConcept C50415386 @default.
- W3197734771 hasConcept C50522688 @default.
- W3197734771 hasConcept C57869625 @default.
- W3197734771 hasConcept C57879066 @default.
- W3197734771 hasConcept C62354387 @default.
- W3197734771 hasConcept C84655787 @default.
- W3197734771 hasConcept C97355855 @default.
- W3197734771 hasConceptScore W3197734771C119599485 @default.
- W3197734771 hasConceptScore W3197734771C121332964 @default.
- W3197734771 hasConceptScore W3197734771C121854251 @default.
- W3197734771 hasConceptScore W3197734771C127162648 @default.
- W3197734771 hasConceptScore W3197734771C127413603 @default.
- W3197734771 hasConceptScore W3197734771C134306372 @default.
- W3197734771 hasConceptScore W3197734771C135628077 @default.
- W3197734771 hasConceptScore W3197734771C151201525 @default.
- W3197734771 hasConceptScore W3197734771C162324750 @default.
- W3197734771 hasConceptScore W3197734771C163892269 @default.
- W3197734771 hasConceptScore W3197734771C2524010 @default.
- W3197734771 hasConceptScore W3197734771C2777303404 @default.
- W3197734771 hasConceptScore W3197734771C33923547 @default.
- W3197734771 hasConceptScore W3197734771C38349280 @default.
- W3197734771 hasConceptScore W3197734771C50415386 @default.
- W3197734771 hasConceptScore W3197734771C50522688 @default.
- W3197734771 hasConceptScore W3197734771C57869625 @default.
- W3197734771 hasConceptScore W3197734771C57879066 @default.
- W3197734771 hasConceptScore W3197734771C62354387 @default.
- W3197734771 hasConceptScore W3197734771C84655787 @default.
- W3197734771 hasConceptScore W3197734771C97355855 @default.
- W3197734771 hasLocation W31977347711 @default.
- W3197734771 hasOpenAccess W3197734771 @default.