Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints

Date

2014-01-02

Author

Yücel, Hamdullah
Karasözen, Bülent

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In this paper, we study a posteriori error estimates of the upwind symmetric interior penalty Galerkin (SIPG) method for the control constrained optimal control problems governed by linear diffusion-convection-reaction partial differential equations. Residual based error estimators are used for the state, the adjoint and the control. An adaptive mesh refinement indicated by a posteriori error estimates is applied. Numerical examples are presented for convection dominated problems to illustrate the theoretical findings and the effectiveness of the adaptivity.

Subject Keywords

A posteriori error estimates, Discontinuous Galerkin method, Convection dominated equations, Control constraints, Optimal control problems

URI

https://hdl.handle.net/11511/30650

Journal

OPTIMIZATION

DOI

https://doi.org/10.1080/02331934.2013.801474

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

H. Yücel and B. Karasözen, “Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints,” OPTIMIZATION, pp. 145–166, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/30650.