A MULTIGRID METHOD FOR AN OPTIMAL CONTROL PROBLEM OF A DIFFUSION-CONVECTION EQUATION

A MULTIGRID METHOD FOR AN OPTIMAL CONTROL PROBLEM OF A DIFFUSION-CONVECTION EQUATION

In this article, an optimal control problem associated with convection-diffusion equation is considered. Using Lagrange multiplier,the optimality system is obtained. The derived optimal system becomes coupled, non-symmetric partial differential equations. For discretizations and implementations, the...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2010, 47(1), , pp.83-100
Hauptverfasser: Baek, Hun-Ki, Kim, Sang-Dong, Lee, Hyung-Chun
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:In this article, an optimal control problem associated with convection-diffusion equation is considered. Using Lagrange multiplier,the optimality system is obtained. The derived optimal system becomes coupled, non-symmetric partial differential equations. For discretizations and implementations, the finite element multigrid V -cycle is employed. The convergence analysis of finite element multigrid methods for the derived optimal system is shown. Some numerical simulations are performed. KCI Citation Count: 2
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.2010.47.1.083