Fast cluster techniques for BEM.

DOI10.1016/S0955-7997(02)00155-8zbMath1035.65142MaRDI QIDQ1422011

Stefan A. Sauter, Nico Krzebek

Publication date: 3 February 2004

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

algorithmconvergencenumerical examplesGalerkin boundary element methodLaplace problemBoundary integral equationsstorage complexityPanel-clustering method

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 (2)

The panel-clustering method for the wave equation in two spatial dimensions ⋮ A new technique for high-speed boundary element analyses of Laplace equations to obtain solutions in target regions

Cites Work

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• Rapid solution of integral equations of classical potential theory
• On the fast matrix multiplication in the boundary element method by panel clustering
• Integral equations with non integrable kernels
• On the efficient use of the Galerkin-method to solve Fredholm integral equations
• Quadrature for \(hp\)-Galerkin BEM in \(\mathbb{R}^3\)
• Hybrid Galerkin boundary elements: Theory and implementation
• Variable order panel clustering
• Integral equations. Theory and numerical treatment
• Efficient automatic quadrature in 3-D Galerkin BEM
• Transformation of hypersingular integrals and black-box cubature
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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