A note on the approximation of Dirichlet boundary control problems for the wave equation on curved domains

DOI10.1080/00036811.2012.724404zbMath1273.49009OpenAlexW2081028573WikidataQ58254635 ScholiaQ58254635MaRDI QIDQ2846786

Martin Gugat, Jan Sokolowski

Publication date: 3 September 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.724404

zbMATH Keywords

optimal controlwave equationpolygonal domainexact controlDirichlet boundary controldomain sensitivity

Mathematics Subject Classification ID

Wave equation (35L05) Existence theories for optimal control problems involving partial differential equations (49J20) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (6)

Optimal control in a bounded domain for wave propagating in the whole space: coupling through boundary integral equations ⋮ Transformation operators in controllability problems for the wave equations with variable coefficients on a half-axis controlled by the Dirichlet boundary condition ⋮ Transformation operators in the problems of controllability for the degenerate wave equation with variable coefficients ⋮ Crank–Nicolson finite difference schemes for parabolic optimal Dirichlet boundary control problems ⋮ Time Delay in Optimal Control Loops for Wave Equations ⋮ Two fast finite difference schemes for elliptic Dirichlet boundary control problems

Cites Work

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• Optimal boundary control of the wave equation with pointwise control constraints
• Sensitivity analysis of hyperbolic optimal control problems
• Approximation of Boundary Control Problems on Curved Domains
• Penalty Techniques for State Constrained Optimal Control Problems with the Wave Equation
• Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains
• Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Exact Boundary Value Controllability of a Class of Hyperbolic Equations

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