Evaluation of 3-D Singular and Nearly Singular Integrals in Galerkin BEM for Thin Layers
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Publication:4908653
DOI10.1137/120866567zbMath1261.65124OpenAlexW1974860752MaRDI QIDQ4908653
Publication date: 6 March 2013
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/d0987770c5e64f371d62732cabbc27eb7d017f60
singular integralhomogeneityvolume integral equationsHelmholtz equationGalerkin boundary element method
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (12)
Computing Weakly Singular and Near-Singular Integrals Over Curved Boundary Elements ⋮ A new extension of boundary elements method for classical elliptic partial differential equations with constant coefficients ⋮ Complex variables-based approach for analytical evaluation of boundary integral representations of three-dimensional acoustic scattering ⋮ A simple and accurate scheme based on complex space \(\mathbb C\) to calculate boundary integrals of 2D boundary elements method ⋮ Analytical approach to Galerkin BEMs on polyhedral surfaces ⋮ Almost Complete Analytical Integration in Galerkin Boundary Element Methods ⋮ Analytical Galerkin Boundary Integrals of Laplace Kernel Layer Potentials in \(\boldsymbol{\mathbb{R}^3}\) ⋮ Recursive computation of the multipole expansions of layer potential integrals over simplices for efficient fast multipole accelerated boundary elements ⋮ General-purpose kernel regularization of boundary integral equations via density interpolation ⋮ A collocation BEM for 3D acoustic problems based on a non-singular Burton-Miller formulation with linear continuous elements ⋮ Computationally Efficient Boundary Element Methods for High-Frequency Helmholtz Problems in Unbounded Domains ⋮ Solving Boundary Integral Problems with BEM++
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