Determination of Dirichlet-to-Neumann map for a mixed boundary problem

DOI10.1016/j.amc.2003.12.043zbMath1072.65159OpenAlexW2081345198MaRDI QIDQ1764738

Jijun Liu

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.043

zbMATH Keywords

convergencenumerical resultsregularizationpotential theoryboundary integral equationHelmholtz equation

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 (7)

The method of integral equation for scattering problem with a mixed crack ⋮ On the reconstruction of Dirichlet-to-Neumann map in inverse scattering problems with stability estimates ⋮ Recovering the Dirichlet-to-Neumann map in inverse scattering problems using integral equation methods ⋮ A model function method for determining the regularizing parameter in potential approach for the recovery of scattered wave ⋮ The exterior problem for the Helmholtz equation with mixed boundary conditions in three dimensions ⋮ Recovery of multiple obstacles by probe method ⋮ Robin–Dirichlet algorithms for the Cauchy problem for the Helmholtz equation

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• Analysis of the electromagnetic scattering from a cavity.
• On the numerical solution of a hypersingular integral equation in scattering theory
• Reconstruction and uniqueness of an inverse scattering problem with impedance boundary
• Linear integral equations
• Inverse acoustic and electromagnetic scattering theory

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