A posteriori error estimators for optimal distributed control governed by the first‐order linear hyperbolic equation: DG method |
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| Authors: | Chunguang Xiong Yuan Li |
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| Institution: | 1. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China;2. Department of Mathematics, Chinese People's Armed Police Forces Academy, Hebei 065000, China |
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| Abstract: | In this article, We analyze the ‐version of the discontinuous Galerkin finite element method (DGFEM) for the distributed first‐order linear hyperbolic optimal control problems. We derive a posteriori error estimators on general finite element meshes which are sharp in the mesh‐width . These error estimators are shown to be useful in adaptive finite element approximation for the optimal control problems. For the DGFEM we admit very general irregular meshes. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2011 |
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| Keywords: | optimal control convection equation DGFEM a posteriori error estimator |
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