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Discontinuous finite volume element method for parabolic problems |
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| Authors: | Chunjia Bi Jiaqiang Geng |
| Institution: | Department of Mathematics, Yantai University, Shandong 264005, People's Republic of China |
| Abstract: | In this article, we consider the semidiscrete and the backward Euler fully discrete discontinuous finite volume element methods for the second‐order parabolic problems and obtain the optimal order error estimates in a mesh dependent norm and in the L2‐norm. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010 |
| Keywords: | finite volume element methods discontinuous Galerkin methods parabolic problems semidiscrete scheme fully discrete scheme H1‐error estimate L2‐error estimate |