A SYMMETRIC FINITE VOLUME ELEMENT SCHEME ON TETRAHEDRON GRIDS

We construct a symmetric finite volume element (SFVE) scheme for a self-adjoint elliptic problem on tetrahedron grids and prove that our new scheme has optimal convergent order for the solution and has superconvergent order for the flux when grids are quasi-uniform and regular. The symmetry of our s...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 49; no. 4; pp. 765 - 778
Main Authors Nie, Cunyun, Tan, Min
Format Journal Article
LanguageEnglish
Published 대한수학회 01.07.2012
Subjects
수학
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Summary:We construct a symmetric finite volume element (SFVE) scheme for a self-adjoint elliptic problem on tetrahedron grids and prove that our new scheme has optimal convergent order for the solution and has superconvergent order for the flux when grids are quasi-uniform and regular. The symmetry of our scheme is helpful to solve efficiently the corresponding discrete system. Numerical experiments are carried out to confirm the theoretical results. KCI Citation Count: 1
Bibliography:G704-000208.2012.49.4.010
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.2012.49.4.765