Matches in SemOpenAlex for { <https://semopenalex.org/work/W2156572401> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W2156572401 endingPage "58" @default.
- W2156572401 startingPage "45" @default.
- W2156572401 abstract "The weak Galerkin (WG) is a novel numerical method based on variational principles for weak functions and their weak partial derivatives defined as distributions. In the implementation, the weak partial derivatives and the weak functions are approximated by polynomials with various degrees of freedom. The accuracy and the computational complexity of the corresponding WG scheme is significantly impacted by the selection of such polynomials. This paper presents an optimal combination for the polynomial spaces that minimize the number of unknowns in the numerical scheme without compromising the accuracy of the numerical approximation. For illustrative purpose, the authors use the second order elliptic equation to demonstrate the basic ideas of polynomial reduction. Consequently, a new weak Galerkin finite element method is proposed and analyzed. Error estimates of optimal order are established for the corresponding WG approximations in both a discrete H 1 norm and the standard L 2 norm. In addition, the paper presents some numerical results to demonstrate the power of the WG method in dealing with finite element partitions with arbitrary polygons in 2D or polyhedra in 3D. The numerical examples include various finite element partitions such as triangular mesh, quadrilateral mesh, honeycomb mesh in 2D and mesh with deformed cubes in 3D." @default.
- W2156572401 created "2016-06-24" @default.
- W2156572401 creator A5002326414 @default.
- W2156572401 creator A5032062029 @default.
- W2156572401 creator A5060319992 @default.
- W2156572401 date "2015-09-01" @default.
- W2156572401 modified "2023-09-29" @default.
- W2156572401 title "A weak Galerkin finite element method with polynomial reduction" @default.
- W2156572401 cites W1964238980 @default.
- W2156572401 cites W1998894128 @default.
- W2156572401 cites W2022525937 @default.
- W2156572401 cites W2039955529 @default.
- W2156572401 cites W2964075222 @default.
- W2156572401 doi "https://doi.org/10.1016/j.cam.2015.02.001" @default.
- W2156572401 hasPublicationYear "2015" @default.
- W2156572401 type Work @default.
- W2156572401 sameAs 2156572401 @default.
- W2156572401 citedByCount "104" @default.
- W2156572401 countsByYear W21565724012014 @default.
- W2156572401 countsByYear W21565724012015 @default.
- W2156572401 countsByYear W21565724012016 @default.
- W2156572401 countsByYear W21565724012017 @default.
- W2156572401 countsByYear W21565724012018 @default.
- W2156572401 countsByYear W21565724012019 @default.
- W2156572401 countsByYear W21565724012020 @default.
- W2156572401 countsByYear W21565724012021 @default.
- W2156572401 countsByYear W21565724012022 @default.
- W2156572401 countsByYear W21565724012023 @default.
- W2156572401 crossrefType "journal-article" @default.
- W2156572401 hasAuthorship W2156572401A5002326414 @default.
- W2156572401 hasAuthorship W2156572401A5032062029 @default.
- W2156572401 hasAuthorship W2156572401A5060319992 @default.
- W2156572401 hasBestOaLocation W21565724011 @default.
- W2156572401 hasConcept C111335779 @default.
- W2156572401 hasConcept C121332964 @default.
- W2156572401 hasConcept C134306372 @default.
- W2156572401 hasConcept C135628077 @default.
- W2156572401 hasConcept C17744445 @default.
- W2156572401 hasConcept C186899397 @default.
- W2156572401 hasConcept C199539241 @default.
- W2156572401 hasConcept C200288055 @default.
- W2156572401 hasConcept C2524010 @default.
- W2156572401 hasConcept C28826006 @default.
- W2156572401 hasConcept C33923547 @default.
- W2156572401 hasConcept C90119067 @default.
- W2156572401 hasConcept C92244383 @default.
- W2156572401 hasConcept C97355855 @default.
- W2156572401 hasConceptScore W2156572401C111335779 @default.
- W2156572401 hasConceptScore W2156572401C121332964 @default.
- W2156572401 hasConceptScore W2156572401C134306372 @default.
- W2156572401 hasConceptScore W2156572401C135628077 @default.
- W2156572401 hasConceptScore W2156572401C17744445 @default.
- W2156572401 hasConceptScore W2156572401C186899397 @default.
- W2156572401 hasConceptScore W2156572401C199539241 @default.
- W2156572401 hasConceptScore W2156572401C200288055 @default.
- W2156572401 hasConceptScore W2156572401C2524010 @default.
- W2156572401 hasConceptScore W2156572401C28826006 @default.
- W2156572401 hasConceptScore W2156572401C33923547 @default.
- W2156572401 hasConceptScore W2156572401C90119067 @default.
- W2156572401 hasConceptScore W2156572401C92244383 @default.
- W2156572401 hasConceptScore W2156572401C97355855 @default.
- W2156572401 hasFunder F4320306076 @default.
- W2156572401 hasLocation W21565724011 @default.
- W2156572401 hasLocation W21565724012 @default.
- W2156572401 hasOpenAccess W2156572401 @default.
- W2156572401 hasPrimaryLocation W21565724011 @default.
- W2156572401 hasRelatedWork W1978195926 @default.
- W2156572401 hasRelatedWork W2018521676 @default.
- W2156572401 hasRelatedWork W2039299979 @default.
- W2156572401 hasRelatedWork W2091476688 @default.
- W2156572401 hasRelatedWork W2314908931 @default.
- W2156572401 hasRelatedWork W2394496373 @default.
- W2156572401 hasRelatedWork W2582899241 @default.
- W2156572401 hasRelatedWork W2950878479 @default.
- W2156572401 hasRelatedWork W2981170296 @default.
- W2156572401 hasRelatedWork W4310981524 @default.
- W2156572401 hasVolume "285" @default.
- W2156572401 isParatext "false" @default.
- W2156572401 isRetracted "false" @default.
- W2156572401 magId "2156572401" @default.
- W2156572401 workType "article" @default.