A Posteriori Error Estimators for Optimal Distributed Control Governed by the First-Order Linear Hyperbolic Equation: DG Method

作者：Xiong, Chunguang^*; Li, Yuan

来源：Numerical Methods for Partial Differential Equations, 2011, 27(3): 491-506.

DOI：10.1002/num.20534

• optimal control
• convection equation
• DGFEM
• a posteriori error estimator

In this article, We analyze the h-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 h. 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.

• 出版日期2011-5
• 单位中国人民武装警察部队学院; 北京理工大学