Goal–oriented a posteriori error estimation for Dirichlet boundary control problems

2021-1
We study goal-oriented a posteriori error estimates for the numerical approximation ofDirichlet boundary control problem governed by a convection diffusion equation withpointwise control constraints on a two dimensional convex polygonal domain. The localdiscontinuous Galerkin method is used as a discretization technique since the controlvariable is involved in a variational form in a natural sense. We derive primal–dualweightederrorestimatesfortheobjectivefunctionalwithanerrortermrepresentingthemismatch in the complementary system due to the discretization. Numerical examplesare presented to illustrate the performance of the proposed estimator.

Citation Formats
H. Yücel, “Goal–oriented a posteriori error estimation for Dirichlet boundary control problems,” Journal of Computational and Applied Mathematics, vol. 381, 2021, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/50722.