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CONSTRUCTION OF SCALAR AND VECTOR FINITE ELEMENT FAMILIES ON POLYGONAL AND POLYHEDRAL MESHES

We combine theoretical results from polytope domain meshing, generalized barycentric coordinates, and finite element exterior calculus to construct scalar- and vector-valued basis functions for conforming finite element methods on generic convex polytope meshes in dimensions 2 and 3. Our constructio...

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Detalles Bibliográficos
Publicado en:J Comput Methods Appl Math
Main Authors: GILLETTE, ANDREW, RAND, ALEXANDER, BAJAJ, CHANDRAJIT
Formato: Artigo
Idioma:Inglês
Publicado: 2016
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Acceso en liña:https://ncbi.nlm.nih.gov/pmc/articles/PMC5222592/
https://ncbi.nlm.nih.gov/pubmed/28077939
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1515/cmam-2016-0019
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