Matches in SemOpenAlex for { <https://semopenalex.org/work/W985149342> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W985149342 endingPage "158" @default.
- W985149342 startingPage "148" @default.
- W985149342 abstract "Geometrically continuous (Gk) constructions naturally yield families of finite elements for isogeometric analysis (IGA) that are Ck also for non-tensor-product layout. This paper describes and analyzes one such concrete C1 geometrically generalized IGA element (short: gIGA element) that generalizes bi-quadratic splines to quad meshes with irregularities. The new gIGA element is based on a recently-developed G1 surface construction that recommends itself by its a B-spline-like control net, low (least) polynomial degree, good shape properties and reproduction of quadratics at irregular (extraordinary) points. Remarkably, for Poisson’s equation on the disk using interior vertices of valence 3 and symmetric layout, we observe O(h3) convergence in the L∞ norm for this family of elements. Numerical experiments confirm the elements to be effective for solving the trivariate Poisson equation on the solid cylinder, deformations thereof (a turbine blade), modeling and computing geodesics on smooth free-form surfaces via the heat equation, for solving the biharmonic equation on the disk and for Koiter-type thin-shell analysis." @default.
- W985149342 created "2016-06-24" @default.
- W985149342 creator A5026113034 @default.
- W985149342 creator A5027686327 @default.
- W985149342 creator A5030292229 @default.
- W985149342 date "2016-01-01" @default.
- W985149342 modified "2023-10-16" @default.
- W985149342 title "C1 finite elements on non-tensor-product 2d and 3d manifolds" @default.
- W985149342 cites W1968167524 @default.
- W985149342 cites W1973737329 @default.
- W985149342 cites W1980220299 @default.
- W985149342 cites W2000425991 @default.
- W985149342 cites W2002667544 @default.
- W985149342 cites W2049521930 @default.
- W985149342 cites W2049923455 @default.
- W985149342 cites W2053113138 @default.
- W985149342 cites W2054361378 @default.
- W985149342 cites W2054935900 @default.
- W985149342 cites W2074623661 @default.
- W985149342 cites W2091620062 @default.
- W985149342 cites W2100783377 @default.
- W985149342 cites W2288476045 @default.
- W985149342 cites W3125178117 @default.
- W985149342 cites W4240693864 @default.
- W985149342 cites W4249537394 @default.
- W985149342 doi "https://doi.org/10.1016/j.amc.2015.06.103" @default.
- W985149342 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/4652325" @default.
- W985149342 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/26594070" @default.
- W985149342 hasPublicationYear "2016" @default.
- W985149342 type Work @default.
- W985149342 sameAs 985149342 @default.
- W985149342 citedByCount "26" @default.
- W985149342 countsByYear W9851493422016 @default.
- W985149342 countsByYear W9851493422017 @default.
- W985149342 countsByYear W9851493422018 @default.
- W985149342 countsByYear W9851493422019 @default.
- W985149342 countsByYear W9851493422020 @default.
- W985149342 countsByYear W9851493422021 @default.
- W985149342 countsByYear W9851493422022 @default.
- W985149342 crossrefType "journal-article" @default.
- W985149342 hasAuthorship W985149342A5026113034 @default.
- W985149342 hasAuthorship W985149342A5027686327 @default.
- W985149342 hasAuthorship W985149342A5030292229 @default.
- W985149342 hasBestOaLocation W9851493422 @default.
- W985149342 hasConcept C121332964 @default.
- W985149342 hasConcept C129844170 @default.
- W985149342 hasConcept C134306372 @default.
- W985149342 hasConcept C135628077 @default.
- W985149342 hasConcept C145784156 @default.
- W985149342 hasConcept C182310444 @default.
- W985149342 hasConcept C202444582 @default.
- W985149342 hasConcept C2524010 @default.
- W985149342 hasConcept C2780737243 @default.
- W985149342 hasConcept C33923547 @default.
- W985149342 hasConcept C51255310 @default.
- W985149342 hasConcept C97355855 @default.
- W985149342 hasConceptScore W985149342C121332964 @default.
- W985149342 hasConceptScore W985149342C129844170 @default.
- W985149342 hasConceptScore W985149342C134306372 @default.
- W985149342 hasConceptScore W985149342C135628077 @default.
- W985149342 hasConceptScore W985149342C145784156 @default.
- W985149342 hasConceptScore W985149342C182310444 @default.
- W985149342 hasConceptScore W985149342C202444582 @default.
- W985149342 hasConceptScore W985149342C2524010 @default.
- W985149342 hasConceptScore W985149342C2780737243 @default.
- W985149342 hasConceptScore W985149342C33923547 @default.
- W985149342 hasConceptScore W985149342C51255310 @default.
- W985149342 hasConceptScore W985149342C97355855 @default.
- W985149342 hasFunder F4320306076 @default.
- W985149342 hasFunder F4320332161 @default.
- W985149342 hasLocation W9851493421 @default.
- W985149342 hasLocation W9851493422 @default.
- W985149342 hasLocation W9851493423 @default.
- W985149342 hasLocation W9851493424 @default.
- W985149342 hasOpenAccess W985149342 @default.
- W985149342 hasPrimaryLocation W9851493421 @default.
- W985149342 hasRelatedWork W1912064545 @default.
- W985149342 hasRelatedWork W2361566420 @default.
- W985149342 hasRelatedWork W2596984088 @default.
- W985149342 hasRelatedWork W2920523941 @default.
- W985149342 hasRelatedWork W3158229558 @default.
- W985149342 hasRelatedWork W4224234595 @default.
- W985149342 hasRelatedWork W4226075233 @default.
- W985149342 hasRelatedWork W4241068626 @default.
- W985149342 hasRelatedWork W4255209591 @default.
- W985149342 hasRelatedWork W4366778254 @default.
- W985149342 hasVolume "272" @default.
- W985149342 isParatext "false" @default.
- W985149342 isRetracted "false" @default.
- W985149342 magId "985149342" @default.
- W985149342 workType "article" @default.