New scheme of the discrete sources method for two-dimensional scattering problems by penetrable obstacles

DOI10.1016/j.cam.2022.114556zbMath1496.65230OpenAlexW4284668493MaRDI QIDQ2088766

George Fikioris, Minas Kouroublakis, Nikolaos Leonidas Tsitsas, Yu. A. Eremin

Publication date: 6 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114556

zbMATH Keywords

scatteringHelmholtz equationscompact operatorsdiscrete sources methodstransmission boundary-value problems

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items

Construction of integral representations of fields in problems of diffraction by penetrable bodies of revolution

Uses Software

• COMSOL

Cites Work

• Special issue on the method of fundamental solutions in honour of Professor Michael Golberg
• Inverse acoustic and electromagnetic scattering theory.
• The method of fundamental solutions for scattering and radiation problems.
• \(T\)- and \(D\)-matrix methods for electromagnetic scattering by impedance obstacles
• Advances in Trefftz methods and their applications. Selected papers based on the presentations at the 9th conference on Trefftz methods and 5th conference on method of fundamental solutions, Lisbon, Portugal, July 29--31, 2019
• A new method of internal auxiliary source-sinks (MIASS) for two-dimensional interior Dirichlet acoustic problems
• Transmission problems for the Helmholtz equation
• The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
• Integral Equation Methods in Scattering Theory
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