Optimal location of the support of the control for the 1-D wave equation: numerical investigations

DOI10.1007/s10589-007-9133-xzbMath1208.49052OpenAlexW2051264177MaRDI QIDQ632391

Arnaud Münch

Publication date: 24 March 2011

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-007-9133-x

zbMATH Keywords

exact controllabilitywave equationrelaxationnumerical schemeslevel set methodoptimal shape design

Mathematics Subject Classification ID

Controllability (93B05) Numerical methods based on nonlinear programming (49M37) Optimization of shapes other than minimal surfaces (49Q10)

Related Items

Optimal design of the time-dependent support of bang-bang type controls for the approximate controllability of the heat equation, Optimal location of controllers for the one-dimensional wave equation, Optimal actuator design based on shape calculus, Optimal observation of the one-dimensional wave equation, A Shape Optimization Problem Concerning the Regional Control of a Class of Spatially Structured Epidemics: Sufficiency Conditions, Optimal actuator location for time and norm optimal control of null controllable heat equation, Observability Inequality of Backward Stochastic Heat Equations for Measurable Sets and Its Applications, Optimal actuator location of the minimum norm controls for stochastic heat equations, Optimization of non-cylindrical domains for the exact null controllability of the 1D wave equation, Complexity and regularity of maximal energy domains for the wave equation with fixed initial data

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