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A symmetric finite volume element scheme on tetrahedron grids

Cunyun Nie|Min Tan
대한수학회 (The Korean Mathematical Society)|2012.07|대한수학회지 (Journal of the KMS)|제49권 제4호|pp. 765-778|DOI http://dx.doi.org/

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참고문헌

키워드

symmetrysuperconvergencefinite volume element schemetetrahedron grids
주제분류수학

초록

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.

Abstract

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.

참고문헌 (24)

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