Fast Galerkin BEM for 3D-potential theory

DOI10.1007/s00466-008-0251-9zbMath1163.65088OpenAlexW2161787325MaRDI QIDQ1015745

Sylvain Nintcheu Fata

Publication date: 8 May 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-008-0251-9

zbMATH Keywords

numerical examplespotential theoryboundary integral methodfast Fourier transformdouble-layer potentialsLaplace equationfast algorithmGalerkin approximationfast spectral methodsingle-layer potentialshigher-order basis functionsregular grid method

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (11)

Cell-based volume integration for boundary integral analysis ⋮ Grid-based volume integration for elasticity ⋮ A fast wavelet-multipole method for direct BEM ⋮ An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method ⋮ On the implementation of 3D Galerkin boundary integral equations ⋮ Semi-analytic treatment of nearly-singular Galerkin surface integrals ⋮ Volume integration in the hypersingular boundary integral equation ⋮ Explicit expressions for 3D boundary integrals in potential theory ⋮ Semi-analytic integration of hypersingular Galerkin BIEs for three-dimensional potential problems ⋮ A fast spectral Galerkin method for hypersingular boundary integral equations in potential theory ⋮ Combined equivalent charge formulations and fast wavelet Galerkin BEM for 3-D electrostatic analysis

Uses Software

• SERBA

Cites Work

• Unnamed Item
• BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
• Multilevel computations of integral transforms and particle interactions with oscillatory kernels
• Sparse BEM for potential theory and Stokes flow using variable order wavelets
• Fast BEM solution for coupled 3D electrostatic and linear elastic problems
• On the use of a regular grid for implementation of boundary integral methods for wave problems
• High degree efficient symmetrical Gaussian quadrature rules for the triangle
• Analytic evaluation of singular boundary integrals without CPV
• Direct Evaluation of Hypersingular Galerkin Surface Integrals
• Wavelet Galerkin Algorithms for Boundary Integral Equations
• A spectral multipole method for efficient solution of large‐scale boundary element models in elastostatics
• GMRESR: a family of nested GMRES methods
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• A fast algorithm for particle simulations
• Regularized spectral multipole BEM for plane elasticity

This page was built for publication: Fast Galerkin BEM for 3D-potential theory