The Method of Fundamental Solutions Applied to Some Inverse Eigenproblems

DOI10.1137/110860380zbMath1275.49075OpenAlexW1965505816MaRDI QIDQ2847731

Pedro R. S. Antunes, Carlos J. S. Alves

Publication date: 11 September 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110860380

zbMATH Keywords

shape optimizationresonancemethod of fundamental solutionseigenfrequenciesharmonic drum

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral theory and eigenvalue problems for partial differential equations (35P99) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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