A symmetric finite volume scheme for selfadjoint elliptic problems

Authors:
Shengde Liang;Xiuling Ma;Aihui Zhou
Affiliations:
Institute of Systems Science, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China;Institute of Systems Science, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China;Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2002

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Abstract

Based on a linear finite element space, a symmetric finite volume scheme for a self-adjoint elliptic boundary-value problem is proposed. Error estimates in L2-norm, H1-norm, and L∞-norm are derived. Some post-processing techniques are also provided.