Error estimation of a quadratic finite volume method on right quadrangular prism grids

Authors:
Min Yang;Jiangguo Liu;Chuanjun Chen
Affiliations:
Department of Mathematics, Yantai University, Yantai, Shandong 264005, PR China;Department of Mathematics, Colorado State University, Fort Collins, CO 80523-1874, USA;Department of Mathematics, Yantai University, Yantai, Shandong 264005, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

In this paper, we develop a finite volume element method with affine quadratic bases on right quadrangular prism meshes for three-dimensional elliptic boundary value problems. The optimal H^1-norm error estimate of second order accuracy is proved under certain assumptions about the meshes. Numerical results are presented to illustrate the theoretical analysis.