A unified a posteriori error estimate of local discontinuous Galerkin approximations for reactive transport problems |
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Authors: | Jiming Yang |
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Institution: | 1. College of Science, Hunan Institute of Engineering, Xiangtan, 411104, Hunan, China 2. College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan, 411105, Hunan, China
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Abstract: | To solve reactive transport problems in porous media, local discontinuous Galerkin (LDG) approximations are investigated. Based on the duality technique and the residual error notations, a unified a posteriori error estimate in L 2(L 2) norm is obtained, which is usually used for guiding anisotropic and dynamic mesh adaptivity. |
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