On the Condition Number of Integral Equations in Acoustics using Modified Fundamental Solutions

DOI10.1093/imamat/31.1.79zbMath0529.45001OpenAlexW1995473829MaRDI QIDQ3311095

Rainer Kress, Ralph E. Kleinman

Publication date: 1983

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/31.1.79

zbMATH Keywords

condition numberHelmholtz equationacousticsexterior boundary-value problemsnon-uniqueness problemmodified fundamental solutions

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations with kernels of Cauchy type (45E05)

Related Items (9)

Collocation for an integral equation arising in duct acoustics ⋮ On the condition number of integral equations in linear elasticity using the modified Green's function ⋮ The numerical solution of the exterior Dirichlet problem for Helmholtz's equation via modified Green's functions approach. ⋮ On the choice of the coupling parameter in boundary integral formulations of the exterior acoustic problem ⋮ A modified boundary integral equation for solving the exterior Robin problem for the Helmholtz equation in three dimensions ⋮ On the unique solvability of a class of modified boundary integral equations ⋮ A criterion of optimization of a modified Green's function in linear elasticity ⋮ The numerical solution of exterior Neumann problem for Helmholtz's equation via modified Green's functions approach ⋮ Modified equations of the first kind for the Helmholtz equation

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