Revisit of the indirect boundary element method: necessary and sufficient formulation
type: Item
instance of: scholarly article
title: Revisit of the indirect boundary element method: necessary and sufficient formulation
zbMATH Open document ID: 1329.65282
author: Jeng-Tzong Chen
author: Yu-Lung Chang
author: S. K. Kao
author: Jie Jian
published in: Journal of Scientific Computing
publication date: 2015-12-09T00:00:00Z
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 6518118
zbMATH Keywords: indirect boundary element method
zbMATH Keywords: Fichera's method
zbMATH Keywords: degenerate scale
zbMATH Keywords: degenerate kernel
zbMATH Keywords: bounded potential at infinity
zbMATH Keywords: numerical example
zbMATH Keywords: Laplace equation
zbMATH Keywords: exterior problem
zbMATH Keywords: interior problem
MaRDI profile type: Publication
full work available at URL: s10915-014-9974-2
OpenAlex ID: W1972566803
cites work: An integral equation approach to boundary value problems of classical elastostatics
cites work: Non-equivalence of the conventional boundary integral formulation and its elimination for two-dimensional mixed potential problems
cites work: A new concept of modal participation factor for numerical instability in the dual BEM for exterior acoustics.
cites work: The boundary contour method based on the equivalent boundary integral equation for 2-D linear elasticity
cites work: Q4347628
cites work: Nonuniqueness in the integral equation formulation of the biharmonic equation in multiply connected domains
cites work: On a unified boundary-integral equation method
cites work: Q3965703
cites work: Degenerate scale problem when solving Laplace's equation by BEM and its treatment
cites work: Detecting non-uniqueness of solutions to biharmonic integral equations through SVD
cites work: Regularity condition and numerical examination for degenerate scale problem of BIE for exterior problem of plane elasticity
cites work: On integral equations of the first kind with logarithmic kernels
cites work: Q3049321
cites work: Q3285751
cites work: On the Solution of the Dirichlet Problem for the Two-Dimensional Laplace Equation
cites work: Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity
cites work: Linkage between the unit logarithmic capacity in the theory of complex variables and the degenerate scale in the BEM/BIEMs
cites work: Analytical derivation and numerical experiments of degenerate scale for an ellipse in BEM
cites work: Regularization methods for ill-conditioned system of the integral equation of the first kind with the logarithmic kernel
cites work: Solution of Boundary Value Problems by Integral Equations of the First Kind
cites work: Q3847188
cites work: Adaptive refinement scheme for the least-squares approach of the method of fundamental solution for three-dimensional harmonic problems
cites work: Potential Problems by Singular Boundary Method Satisfying Moment Condition
cites work: Boundary integral equations
cites work: Artificial Boundary Method
cites work: On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations
cites work: A study on the method of fundamental solutions using an image concept
cites work: Limit problems for interpolation by analytic radial basis functions
DOI: 10.1007/S10915-014-9974-2
description: scientific article; zbMATH DE number 6518118