Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D.

DOI10.1007/s10492-014-0070-6zbMath1340.65282OpenAlexW1988048141MaRDI QIDQ489238

Jan Zapletal, Jiří Bouchala

Publication date: 27 January 2015

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

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143929

zbMATH Keywords

boundary element methodHelmholtz equationthree dimensionshypersingular boundary integral equationGalerkin discretization

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 (5)

Boundary element quadrature schemes for multi- and many-core architectures ⋮ Shape optimization and subdivision surface based approach to solving 3D Bernoulli problems ⋮ A parallel library for boundary element discretization of engineering problems ⋮ Distributed fast boundary element methods for Helmholtz problems ⋮ Parallel and vectorized implementation of analytic evaluation of boundary integral operators

Cites Work

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• Galerkin approximation with quadrature for the screen problem in \(\mathbb{R}^3\)
• The fast solution of boundary integral equations.
• The fast multipole method for the symmetric boundary integral formulation
• Boundary Element Methods
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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