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Multigrid Methods for Elliptic Optimal Control Problems with Pointwise State Constraints
Published online by Cambridge University Press: 28 May 2015
Abstract
An elliptic optimal control problem with constraints on the state variable is considered. The Lavrentiev-type regularization is used to treat the constraints on the state variable. To solve the problem numerically, the multigrid for optimization (MGOPT) technique and the collective smoothing multigrid (CSMG) are implemented. Numerical results are reported to illustrate and compare the efficiency of both multigrid strategies.
Keywords
- Type
- Research Article
- Information
- Numerical Mathematics: Theory, Methods and Applications , Volume 5 , Issue 1 , February 2012 , pp. 99 - 109
- Copyright
- Copyright © Global Science Press Limited 2012