Barycentric Interpolation and Exact Integration Formulas for the Finite Volume Element Method | Zendy

Tatiana Voitovich | Zendy; Stefan Vandewalle | Zendy

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Barycentric Interpolation and Exact Integration Formulas for the Finite Volume Element Method

Author(s) -

Tatiana Voitovich,

Stefan Vandewalle

Publication year - 2008

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.177

H-Index - 75

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.2990990

Subject(s) - icon , computer science , citation , barycentric coordinate system , information retrieval , interpolation (computer graphics) , world wide web , computer graphics (images) , mathematics , animation , programming language , geometry

This contribution concerns with the construction of a simple and effective technology for the problem of exact integration of interpolation polynomials arising while discretizing partial differential equations by the finite volume element method on simplicial meshes. It is based on the element-wise representation of the local shape functions through barycentric coordinates (barycentric interpolation) and the introducing of classes of integration formulas for the exact integration of generic monomials of barycentric coordinates over the geometrical shapes defined by a barycentric dual mesh. Numerical examples are presented that illustrate the validity of the technolog

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