On the implementation of 3D Galerkin boundary integral equations

DOI10.1016/j.enganabound.2009.06.010zbMath1244.65178OpenAlexW2033700363MaRDI QIDQ441518

Sylvain Nintcheu Fata, Leonard J. Gray

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2009.06.010

zbMATH Keywords

potential theoryboundary element methoditerative methodssingular integralsGalerkin approximationhypersingular integralsincomplete Lusparse preconditionertriangular boundary

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

Treatment of domain integrals in boundary element methods ⋮ Semi-analytic treatment of nearly-singular Galerkin surface integrals ⋮ Semi-analytic treatment of the three-dimensional Poisson equation via a Galerkin BIE method ⋮ Explicit expressions for three-dimensional boundary integrals in linear elasticity

Uses Software

• BEAN

Cites Work

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• Preconditioning for Boundary Integral Equations
• On a Class of Preconditioning Methods for Dense Linear Systems from Boundary Elements
• Transformation of hypersingular integrals and black-box cubature
• Direct Evaluation of Hypersingular Galerkin Surface Integrals
• Hypersingular kernel integration in 3D Galerkin boundary element method

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