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QUADRATIC SERENDIPITY FINITE ELEMENTS ON POLYGONS USING GENERALIZED BARYCENTRIC COORDINATES

We introduce a finite element construction for use on the class of convex, planar polygons and show it obtains a quadratic error convergence estimate. On a convex n-gon, our construction produces 2n basis functions, associated in a Lagrange-like fashion to each vertex and each edge midpoint, by tran...

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Bibliografske podrobnosti
Main Authors: RAND, ALEXANDER, GILLETTE, ANDREW, BAJAJ, CHANDRAJIT
Format: Artigo
Jezik:Inglês
Izdano: 2014
Teme:
Online dostop:https://ncbi.nlm.nih.gov/pmc/articles/PMC4188447/
https://ncbi.nlm.nih.gov/pubmed/25301974
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