4. High-order topological expansions for Helmholtz problems in 2D

DOI10.1515/9783110430417-004zbMath1382.49043OpenAlexW2738551843MaRDI QIDQ4596909

Victor A. Kovtunenko

Publication date: 11 December 2017

Published in: Topological Optimization and Optimal Transport (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110430417-004

zbMATH Keywords

singular perturbationinverse problemasymptotic analysisvariational methodHelmholtz problemtopological derivativeshape and topology optimizationobject identificationderivative-free optimality condition

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Time-scale analysis and singular perturbations in control/observation systems (93C70) Inverse problems for PDEs (35R30) Optimization of shapes other than minimal surfaces (49Q10) Inverse problems in optimal control (49N45) PDEs in connection with control and optimization (35Q93)

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Revisiting generalized FEM: a Petrov-Galerkin enrichment based FEM interpolation for Helmholtz problem ⋮ Topological optimality condition for the identification of the center of an inhomogeneity ⋮ Noniterative Reconstruction Method for an Inverse Potential Problem Modeled by a Modified Helmholtz Equation

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