Computing and compression of the boundary element matrices for the Helmholtz equation

DOI10.1515/1569395041172935zbMath1053.65094OpenAlexW2044409272MaRDI QIDQ4465141

Mirjam Stolper

Publication date: 27 May 2004

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/1569395041172935

zbMATH Keywords

Fourier transformHelmholtz equationdouble-layer potentialexterior Dirichlet boundary value problemboundary element matricesadaptive cross approximation algorithm

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

On the application of the fast multipole method to the optimization of the boundary element method for the Helmholtz equation ⋮ Shape Optimization of Shell Structure Acoustics ⋮ Theory and implementation of \(\mathcal{H}\)-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels

Cites Work

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• On the fast matrix multiplication in the boundary element method by panel clustering
• A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
• Diagonal forms of translation operators for the Helmholtz equation in three dimensions
• Adaptive low-rank approximation of collocation matrices
• Multifrequency analysis for the Helmholtz equation
• Approximation of boundary element matrices
• A fast adaptive multipole algorithm in three dimensions
• Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung

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