Multigrid Methods for Linear Elliptic Optimal Control Problems

M. Vallejos () and A. Borzì ()
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M. Vallejos: Karl-Franzens-Universität Graz, Institut für Mathematik und Wissenschaftliches Rechnen
A. Borzì: Karl-Franzens-Universität Graz, Institut für Mathematik und Wissenschaftliches Rechnen

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 653-660 from Springer

Abstract: Abstract Multigrid optimization schemes that solve linear elliptic optimal control problems are discussed. For the solution of these problems, a comparison is made between the multigrid for optimization (MGOPT) method and the collective smoothing multigrid (CSMG) method. Examples are given to illustrate and validate both techniques.

Keywords: Optimal Control Problem; Optimality System; Multigrid Method; Adjoint Equation; Saddle Point Problem (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/978-3-540-69777-0_78

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