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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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Bibliografiske detaljer
Udgivet i:J Comput Methods Appl Math
Main Authors: GILLETTE, ANDREW, RAND, ALEXANDER, BAJAJ, CHANDRAJIT
Format: Artigo
Sprog:Inglês
Udgivet: 2016
Fag:
Online adgang: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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