The exterior Neumann problem for the Helmholtz equation

DOI10.1007/BF00249090zbMath0269.35032OpenAlexW1977080047MaRDI QIDQ2563247

John F. Ahner, Ralph E. Kleinman

Publication date: 1973

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00249090

Mathematics Subject Classification ID

Related Items (9)

Remarks on the inverse scattering problem for low frequency acoustic waves ⋮ The numerical solution of the exterior Dirichlet problem for Helmholtz's equation via modified Green's functions approach. ⋮ Solution of elastic scattering problems in linear acoustics using \(h\)-\(p\) boundary element methods ⋮ Justification of the collocation method for the integral equation for a mixed boundary value problem for the Helmholtz equation ⋮ The numerical solution of exterior Neumann problem for Helmholtz's equation via modified Green's functions approach ⋮ On Neumann's method for the exterior Neumann problem for the Helmholtz equation ⋮ The exterior Robin problem for the Helmholtz equation ⋮ Scattering by a hard obstacle in a piecewise homogeneous medium ⋮ The integral equation method in electromagnetic scattering

Cites Work

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• Randwertproblem der mathematischen Akustik
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• Über die Randwertaufgaben des Außenraumes zur Helmholtzschen Schwingungsgleichung
• The exterior Neumann problem for the three-dimensional Helmholtz equation
• Ein numerisches Verfahren zur Lösung des Neumannschen Außenraumproblems für die Helmholtzsche Schwingungsgleichung
• A SOLUTION TO THE PROBLEM OF SCALAR SCATTERING FROM A SMOOTH, BOUNDED OBSTACLE USING INTEGRAL EQUATIONS
• The Low-Frequency Scalar Dirichlet Scattering by a General Ellipsoid
• Fundamental Results Concerning Integral Representations in Acoustic Radiation
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• Low Frequency Scattering by Spheroids and Disks
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