A local discontinuous Galerkin method for Dirichlet boundary control problems

Date

2018-10-20

Author

Yücel, Hamdullah

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In this paper, we consider Dirichlet boundary control of a convection-diffusion equation with L 2 4 – 5 boundary controls subject to pointwise bounds on the control posed on a two dimensional convex polygonal domain. 6 We use the local discontinuous Galerkin method as a discretization method. We derive a priori error estimates for 7 the approximation of the Dirichlet boundary control problem on a polygonal domain. Several numerical results are 8 provided to illustrate the theoretical results.

Subject Keywords

Dirichlet boundary optimal control, Local discontinuous Galerkin, Convection–diffusion equation, A priori error estimate

URI

https://hdl.handle.net/11511/78646

Conference Name

BEYOND: Workshop on Computational Science and Engineering (20 - 21 Ekim 2018)

Collections

Graduate School of Applied Mathematics, Conference / Seminar

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Citation Formats

H. Yücel, “A local discontinuous Galerkin method for Dirichlet boundary control problems,” presented at the BEYOND: Workshop on Computational Science and Engineering (20 - 21 Ekim 2018), Ankara, Türkiye, 2018, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/78646.