A new method of internal auxiliary source-sinks (MIASS) for two-dimensional interior Dirichlet acoustic problems

DOI10.1016/j.cam.2020.113231zbMath1459.35094OpenAlexW3092147675MaRDI QIDQ2222176

George Fikioris, Thomas Wriedt, Nikolaos Leonidas Tsitsas, Yu. A. Eremin

Publication date: 3 February 2021

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.2020.113231

zbMATH Keywords

Dirichlet problemHelmholtz equationnumerical solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

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

Uses Software

• DLMF

Cites Work

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• Inverse acoustic and electromagnetic scattering theory.
• \(T\)- and \(D\)-matrix methods for electromagnetic scattering by impedance obstacles
• On the Completeness of Sets of Solutions to the Helmholtz Equation
• Runge’s Theorem and Far Field Patterns for the Impedance Boundary Value Problem in Acoustic Wave Propagation