L2‐boundary integral equations for the robin problem

DOI10.1002/mma.1670060121zbMath0556.35030OpenAlexW2081542035MaRDI QIDQ3220968

Rainer Kress, Thomas S. Angell

Publication date: 1984

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670060121

zbMATH Keywords

fundamental solutionHelmholtz equationintegral equation methodexterior Robin problemSommerfeld condition

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

On an integral equation approach for the exterior Robin problem for the Helmholtz equation ⋮ Diffraction d'une Onde Acoustique par une Paroi Absorbante: Nouvelles Equations Intégrales ⋮ On an exterior Laplace equation problem with Robin boundary condition ⋮ Conditional stability estimation for an inverse boundary problem with non-smooth boundary in $\mathcal {R}^3$ ⋮ Singular perturbation analysis of an integrodifferential equation modelling filament stretching

Cites Work

• Unnamed Item
• Grenz- und Sprungrelationen für Potentiale mit quadratsummierbarer Flächenbelegung
• Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
• Zur Dirichletschen Randwertaufgabe des Außenraumes der Schwingungsgleichung
• Boundary integral equations for the Helmholtz equation: The third boundary value problem
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems