The impedance problem for the propagative Helmholtz equation in interior multiply connected domain

DOI10.1016/S0898-1221(03)90195-7zbMath1116.35314MaRDI QIDQ1879565

P. A. Krutitskii

Publication date: 23 September 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Helmholtz equationNeumann problemSingle layer potentialImpedance problem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25) Fredholm integral equations (45B05)

Related Items (3)

Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations ⋮ Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners ⋮ Explicit solution of the Helmholtz equation in the exterior of nonclosed Lipschitz surfaces with an impedance boundary condition

Cites Work

• Numerical analysis for integral and related operator equations.
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• The mixed problem for the Helmholtz equation in a multiply connected region
• The Neumann problem on wave propagation in a 2-D external domain with cuts
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• Dirichlet's problem for the Helmholtz equation outside cuts in a plane
• Neumann's problem for the Helmholtz equation outside cuts in the plane
• Ein numerisches Verfahren zur Lösung des Neumannschen Außenraumproblems für die Helmholtzsche Schwingungsgleichung
• On the exterior problems of acoustics: II
• Boundary integral solutions of three dimensional acoustic radiation problems
• Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential
• Ein verfahren zur losung von (△ + k2)u = 0 in aussengebieten
• Wave propagation in a 2-D external domain bounded by closed and open curves
• INTEGRAL EQUATIONS FOR THE EXTERIOR ACOUSTIC PROBLEM
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