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Convergence analysis of an upwind finite volume element method with Crouzeix-Raviart element for non-selfadjoint and indefinite problems |
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| Authors: | Hongxing Rui Chunjia Bi |
| Affiliation: | (1) School of Mathematics, Shandong University, Jinan, 250100, China;(2) Department of Mathematics, Yantai University, Yantai, 264005, China |
| Abstract: | In this paper we construct an upwind finite volume element scheme based on the Crouzeix-Raviart nonconforming element for non-selfadjoint elliptic problems. These problems often appear in dealing with flow in porous media. We establish the optimal order H 1-norm error estimate. We also give the uniform convergence under minimal elliptic regularity assumption |
| Keywords: | Finite volume element (FVE) method upwind method Crouzeix-Raviart element optimal order convergence uniform convergence convection-diffusion problem |
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