Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
467864 | Computers & Mathematics with Applications | 2015 | 18 Pages |
Abstract
In this paper, we study the numerical solution of optimal control problems governed by a system of convection–diffusion PDEs with nonlinear reaction terms, arising from chemical processes. The symmetric interior penalty Galerkin (SIPG) method with upwinding for the convection term is used as a discretization method. We use a residual-based error estimator for the state and the adjoint variables. An adaptive mesh refinement indicated by a posteriori error estimates is applied. The arising saddle point system is solved using a suitable preconditioner. Numerical results are presented to illustrate the performance of the proposed error estimator.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Hamdullah Yücel, Martin Stoll, Peter Benner,