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Goal–oriented a posteriori error estimation for Dirichlet boundary control problems
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10.1016:j.cam.2020.113012.pdf
Date
2021-1
Author
Yücel, Hamdullah
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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.
Subject Keywords
Applied Mathematics
,
Computational Mathematics
,
Dirichlet boundary optimal control
,
Local discontinuous Galerkin
,
Goal–oriented adaptivity
,
A posteriori error estimate
,
Convection diffusion equation
URI
https://hdl.handle.net/11511/50722
Journal
Journal of Computational and Applied Mathematics
DOI
https://doi.org/10.1016/j.cam.2020.113012
Collections
Graduate School of Applied Mathematics, Article
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H. Yücel, “Goal–oriented a posteriori error estimation for Dirichlet boundary control problems,”
Journal of Computational and Applied Mathematics
, 2021, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/50722.