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

作者：Yucel Hamdullah^*; Karasozen Bulent

来源：Optimization, 2014, 63(1): 145-166.

DOI：10.1080/02331934.2013.801474

• optimal control problems
• control constraints
• convection dominated equations
• discontinuous Galerkin method
• a posteriori error estimates

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.

• 出版日期2014-1-2