Residual based a posteriori error estimation for Dirichlet boundary control problems

Date

2021-09-01

Author

Yücel, Hamdullah

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We study a residual–based a posteriori error estimate for the solution of Dirichlet boundary control problem governed by a convection diffusion equation on a two dimensional convex polygonal domain, using the local discontinuous Galerkin (LDG) method with upwinding for the convection term. With the usage of LDG method, the control variable naturally exists in the variational form due to its mixed finite element structure. We also demonstrate the application of our a posteriori error estimator for the adaptive solution of these optimal control problems.

URI

https://hdl.handle.net/11511/92332

DOI

https://doi.org/10.1051/proc/202171185

Conference Name

FGS’2019 - 19th French-German-Swiss conference on Optimization

Collections

Graduate School of Applied Mathematics, Conference / Seminar

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Citation Formats

H. Yücel, “Residual based a posteriori error estimation for Dirichlet boundary control problems,” Nice, Fransa, 2021, vol. 71, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/92332.