Optimal design for 2D wave equations

DOI10.1080/10556788.2016.1201083zbMath1368.65094OpenAlexW2467797791MaRDI QIDQ5268893

Miguel Cea

Publication date: 21 June 2017

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

Full work available at URL: https://doi.org/10.1080/10556788.2016.1201083

zbMATH Keywords

algorithmoptimal controlwave equationfinite elementsshape optimizationnumerical experimentadjoint equationtopological derivativecomplementary-Hausdorff topology

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (2)

A three‐dimensional shape optimization for transient acoustic scattering problems using the time‐domain boundary element method ⋮ Level Set--Based Shape Optimization Approach for Sharp-Interface Reconstructions in Time-Domain Full Waveform Inversion

Cites Work

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• The shape and topological optimizations' connection
• Reconstruction of small inhomogeneities from boundary measurements
• Finite-element approximation of 2D elliptic optimal design
• Convergence of convex sets and of solutions of variational inequalities
• The Topological Asymptotic for PDE Systems: The Elasticity Case
• Topological sensitivity analysis for time-dependent problems
• On the Topological Derivative in Shape Optimization
• Adjoint Recovery of Superconvergent Functionals from PDE Approximations
• OPTIMAL CONTROL AND SHAPE OPTIMIZATION OF AORTO-CORONARIC BYPASS ANASTOMOSES

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