On constructing the solution to the exterior Dirichlet problem for the Helmholtz equation

DOI10.1016/0022-247X(82)90042-7zbMath0527.35021MaRDI QIDQ786317

John F. Ahner

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessHelmholtz equationSommerfeld radiation conditionintegral equation methodNeumann seriesexterior Dirichlet problemconstructing the solution

Mathematics Subject Classification ID

Related Items (1)

The exterior dirichlet problem for the Laplace equation

Cites Work

• Iterative methods for solving the exterior Dirichlet problem for the Helmholtz equation with applications to the inverse scattering problem for low frequency acoustic waves
• The exterior Dirichlet problem for the Helmholtz equation
• On Neumann's method for the exterior Neumann problem for the Helmholtz equation
• The Dirichlet problem for the Helmholtz equation
• The direct and inverse scattering problems for an arbitrary cylinder: Dirichlet boundary conditions
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