Method of integral equations in the scalar problem of diffraction on a system consisting of a ``soft and a ``hard screen and an inhomogeneous body

DOI10.1134/S0012266114090031zbMath1312.65203MaRDI QIDQ486259

Yong-Cai Geng, Sumit K. Garg

Publication date: 15 January 2015

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

convergenceGalerkin methodsingular integral equationsconsistencyHelmholtz equationdiffractionintegral equation methodexistence and smoothness of solution

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

Method of integral equations in a scalar diffraction problem on a partially screened inhomogeneous body ⋮ On the Fredholm property of the electric field equation in the vector diffraction problem for a partially screened solid ⋮ Non-iterative two-step method for solving scalar inverse 3D diffraction problem ⋮ Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens

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• The operator equations of Lippmann–Schwinger type for acoustic and electromagnetic scattering problems inL²
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
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• Linear integral equations

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