Optimal control of a linear elliptic equation with a supremum norm functional

DOI10.1080/10556780108805823zbMath1005.49013OpenAlexW2035989858MaRDI QIDQ2770194

Thomas U. Grund, Arnd Rösch

Publication date: 27 February 2003

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556780108805823

zbMATH Keywords

minimaxoptimal controlstate constraintsnumerical solutionfirst-order optimality conditionssupremum normlinear elliptic quation

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Optimality conditions for problems involving partial differential equations (49K20) Linear programming (90C05) Optimality conditions for minimax problems (49K35)

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Uses Software

• Mosek
• Decision tree for optimization software

Cites Work

• Unnamed Item
• Optimal control in coefficients of elliptic equations with state constraints
• Optimization techniques for solving elliptic control problems with control and state constraints. I: Boundary control
• Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
• Boundary Control of Parabolic Differential Equations in Arbitrary Dimensions: Supremum-Norm Problems
• Augemented Lagrangian Techniques for Elliptic State Constrained Optimal Control Problems
• Minimax Control of Parabolic Systems with State Constraints