Matches in SemOpenAlex for { <https://semopenalex.org/work/W2995629763> ?p ?o ?g. }
- W2995629763 abstract "In this paper, we employ the linear virtual element spaces to discretize the semilinear sine-Gordon equation in two dimensions. The salient features of the virtual element method (VEM) are: (a) it does not require explicit form of the shape functions to construct the nonlinear and the bilinear terms, and (b) relaxes the constraint on the mesh topology by allowing the domain to be discretized with general polygons consisting of both convex and concave elements, and (c) easy mesh refinements (hanging nodes and interfaces are allowed). The nonlinear source term is discretized by employing the product approximation technique and for temporal discretization, the Crank-Nicolson scheme is used. The resulting nonlinear equations are solved using the Newton's method. We derive a priori error estimations in $L^2$ and $H^1$ norms. The convergence properties and the accuracy of the virtual element method for the solution of the sine-Gordon equation are demonstrated with academic numerical experiments." @default.
- W2995629763 created "2019-12-26" @default.
- W2995629763 creator A5013530478 @default.
- W2995629763 creator A5043706874 @default.
- W2995629763 date "2019-12-11" @default.
- W2995629763 modified "2023-09-27" @default.
- W2995629763 title "Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique" @default.
- W2995629763 cites W1502992081 @default.
- W2995629763 cites W1585842086 @default.
- W2995629763 cites W1597209545 @default.
- W2995629763 cites W1863866458 @default.
- W2995629763 cites W1963803848 @default.
- W2995629763 cites W1974629457 @default.
- W2995629763 cites W1976571953 @default.
- W2995629763 cites W1977362569 @default.
- W2995629763 cites W1987668201 @default.
- W2995629763 cites W1990258816 @default.
- W2995629763 cites W1992923859 @default.
- W2995629763 cites W1996774337 @default.
- W2995629763 cites W2005893532 @default.
- W2995629763 cites W2006000775 @default.
- W2995629763 cites W2020766972 @default.
- W2995629763 cites W2022275452 @default.
- W2995629763 cites W2036272282 @default.
- W2995629763 cites W2045686441 @default.
- W2995629763 cites W2047049848 @default.
- W2995629763 cites W2055384757 @default.
- W2995629763 cites W2057105966 @default.
- W2995629763 cites W2068988900 @default.
- W2995629763 cites W2069754569 @default.
- W2995629763 cites W2075042757 @default.
- W2995629763 cites W2082621526 @default.
- W2995629763 cites W2085048518 @default.
- W2995629763 cites W2089142741 @default.
- W2995629763 cites W2105071626 @default.
- W2995629763 cites W2105878400 @default.
- W2995629763 cites W2111450821 @default.
- W2995629763 cites W2112081530 @default.
- W2995629763 cites W2119838320 @default.
- W2995629763 cites W2129180878 @default.
- W2995629763 cites W2168914934 @default.
- W2995629763 cites W2414641389 @default.
- W2995629763 cites W2591803957 @default.
- W2995629763 cites W2604774386 @default.
- W2995629763 cites W2796619460 @default.
- W2995629763 cites W2803563883 @default.
- W2995629763 cites W2889002735 @default.
- W2995629763 cites W2962924286 @default.
- W2995629763 cites W2962945174 @default.
- W2995629763 cites W2963313365 @default.
- W2995629763 cites W2963433045 @default.
- W2995629763 cites W2963568310 @default.
- W2995629763 cites W2964106292 @default.
- W2995629763 cites W2964307594 @default.
- W2995629763 cites W2964325263 @default.
- W2995629763 cites W2982473434 @default.
- W2995629763 cites W3204708751 @default.
- W2995629763 cites W626545488 @default.
- W2995629763 hasPublicationYear "2019" @default.
- W2995629763 type Work @default.
- W2995629763 sameAs 2995629763 @default.
- W2995629763 citedByCount "0" @default.
- W2995629763 crossrefType "posted-content" @default.
- W2995629763 hasAuthorship W2995629763A5013530478 @default.
- W2995629763 hasAuthorship W2995629763A5043706874 @default.
- W2995629763 hasConcept C105795698 @default.
- W2995629763 hasConcept C114614502 @default.
- W2995629763 hasConcept C121332964 @default.
- W2995629763 hasConcept C134306372 @default.
- W2995629763 hasConcept C135628077 @default.
- W2995629763 hasConcept C158622935 @default.
- W2995629763 hasConcept C184720557 @default.
- W2995629763 hasConcept C205203396 @default.
- W2995629763 hasConcept C28826006 @default.
- W2995629763 hasConcept C33923547 @default.
- W2995629763 hasConcept C62520636 @default.
- W2995629763 hasConcept C73000952 @default.
- W2995629763 hasConcept C97355855 @default.
- W2995629763 hasConceptScore W2995629763C105795698 @default.
- W2995629763 hasConceptScore W2995629763C114614502 @default.
- W2995629763 hasConceptScore W2995629763C121332964 @default.
- W2995629763 hasConceptScore W2995629763C134306372 @default.
- W2995629763 hasConceptScore W2995629763C135628077 @default.
- W2995629763 hasConceptScore W2995629763C158622935 @default.
- W2995629763 hasConceptScore W2995629763C184720557 @default.
- W2995629763 hasConceptScore W2995629763C205203396 @default.
- W2995629763 hasConceptScore W2995629763C28826006 @default.
- W2995629763 hasConceptScore W2995629763C33923547 @default.
- W2995629763 hasConceptScore W2995629763C62520636 @default.
- W2995629763 hasConceptScore W2995629763C73000952 @default.
- W2995629763 hasConceptScore W2995629763C97355855 @default.
- W2995629763 hasLocation W29956297631 @default.
- W2995629763 hasOpenAccess W2995629763 @default.
- W2995629763 hasPrimaryLocation W29956297631 @default.
- W2995629763 hasRelatedWork W1983400660 @default.
- W2995629763 hasRelatedWork W2064701766 @default.
- W2995629763 hasRelatedWork W2066320385 @default.
- W2995629763 hasRelatedWork W2121410213 @default.
- W2995629763 hasRelatedWork W2140374669 @default.
- W2995629763 hasRelatedWork W2348944443 @default.