A posteriori error estimates of mixed DG finite element methods for linear parabolic equations |
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Authors: | Tianliang Hou |
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Institution: | 1. School of Mathematics and Computational Science , Xiangtan University , Xiangtan 411105 , Hunan , P.R. China htlchb@163.com |
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Abstract: | In this article, we analyse a posteriori error estimates of mixed finite element discretizations for linear parabolic equations. The space discretization is done using the order λ?≥?1 Raviart–Thomas mixed finite elements, whereas the time discretization is based on discontinuous Galerkin (DG) methods (r?≥?1). Using the duality argument, we derive a posteriori l ∞(L 2) error estimates for the scalar function, assuming that only the underlying mesh is static. |
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Keywords: | a posteriori error estimates mixed finite element discontinuous Galerkin methods parabolic equations |
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