Degenerate scale for 2D Laplace equation with mixed boundary condition and comparison with other conditions on the boundary
type: Item
instance of: scholarly article
title: Degenerate scale for 2D Laplace equation with mixed boundary condition and comparison with other conditions on the boundary
zbMATH Open document ID: 1403.74158
author: G. Bonnet
author: Alain Corfdir
published in: Engineering Analysis with Boundary Elements
publication date: 2018-08-10T00:00:00Z
full work available at URL: Publi-2018-corfdir-bonnet-eabe-degenerated-scale-mixed-BC.pdf
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 65N38
zbMATH DE Number: 6916118
zbMATH Keywords: integral equations
zbMATH Keywords: boundary elements
zbMATH Keywords: Laplace equation
zbMATH Keywords: plane problems
zbMATH Keywords: degenerate scale
zbMATH Keywords: mixed boundary condition
zbMATH Keywords: Neumann condition
zbMATH Keywords: Dirichlet condition
MaRDI profile type: Publication
OpenAlex ID: W2777550991
cites work: Analysis of hypersingular residual error estimates in boundary element methods for potential problems
cites work: A new a posteriori error estimator in adaptive direct boundary element methods: The Dirichlet problem
cites work: A unified formulation and error estimation measure for the direct and the indirect boundary element methods in elasticity.
cites work: p-adaptive boundary elements
cites work: Adaptive boundary element methods for strongly elliptic integral equations
cites work: Adaptive boundary element method of time-harmonic exterior acoustics in two dimensions
cites work: Adaptive dual boundary element method for solving oblique incident wave passing a submerged breakwater
cites work: A two-dimensional isogeometric boundary element method for elastostatic analysis
cites work: Isogeometric boundary element analysis with elasto-plastic inclusions. I: Plane problems
cites work: An ACA accelerated isogeometric boundary element analysis of potential problems with non-uniform boundary conditions
cites work: Non-singular boundary integral formulations for plane interior potential problems
cites work: A regularized boundary integral method in potential theory
cites work: Integral equation methods in potential theory. I
cites work: Q3049321
cites work: Q3259806
cites work: Q5666837
cites work: The Eigenvalue Problem for a Pair of Coupled Integral Equations Arising in the Numerical Solution of Laplace’s Equation
cites work: Solution of Boundary Value Problems by Integral Equations of the First Kind
cites work: On the stability of integral equations of the first kind with logarithmic kernels
cites work: On integral equations of the first kind with logarithmic kernels
cites work: Q4328333
cites work: Integral Equations without a Unique Solution can be made Useful for Solving some Plane Harmonic Problems
cites work: On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/†
cites work: Modifications of some first kind integral equations with logarithmic kernel to improve numerical conditioning
cites work: Degenerate scale problem when solving Laplace's equation by BEM and its treatment
cites work: A relation between the logarithmic capacity and the condition number of the BEM‐matrices
cites work: Numerical solution for degenerate scale problem for exterior multiply connected region
cites work: Degenerate scale problem for the Laplace equation in the multiply connected region with outer elliptic boundary
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 scales for regular \(N\)-gon domains in two-dimensional Laplace problems
cites work: Regularization methods for ill-conditioned system of the integral equation of the first kind with the logarithmic kernel
cites work: Revisit of a degenerate scale: a semi-circular disc
cites work: Evaluation of the degenerate scale in Laplace equation by using Newton iteration method
cites work: A self-regularized approach for rank-deficient systems in the BEM of 2D Laplace problems
cites work: Numerical examination for degenerate scale problem for ellipse-shaped ring region in BIE
cites work: Degenerate scale problem in antiplane elasticity or Laplace equation for quadrilaterals with arbitrary configuration
cites work: Analytical derivation and numerical experiments of degenerate scale for an ellipse in BEM
cites work: Degenerate scale for multiply connected Laplace problems
cites work: The spectra of some integral operators for plane elastostatical boundary value problems
cites work: ON NON-UNIQUE SOLUTIONS OF WEAKLY SINGULAR INTEGRAL EQUATIONS IN PLANE ELASTICITY
cites work: Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity
cites work: On invertibility of elastic single-layer potential operator
cites work: On solvability of a boundary integral equation of the first kind for Dirichlet boundary value problems in plane elasticity
cites work: Variational formulation and upper bounds for degenerate scales in plane elasticity
cites work: Invertibility of the biharmonic single layer potential operator
cites work: Degenerate scale for the analysis of circular thin plate using the boundary integral equation method and boundary element methods
cites work: Strategies using boundary integral equations for solving exterior anisotropic conduction problems outside long cylinders
cites work: Degenerate scale for the Laplace problem in the half-plane; approximate logarithmic capacity for two distant boundaries
cites work: Degenerate scale for 2D Laplace equation with Robin boundary condition
cites work: On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation
cites work: Capacity theory on algebraic curves
cites work: On the integral equation method for the plane mixed boundary value problem of the Laplacian
cites work: Boundary integral equations
cites work: Method of boundary integral equations in the mixed problem for the Laplace equation with an arbitrary partition of the boundary
cites work: The mixed problem for the Laplace equation in an exterior domain with an arbitrary partition of the boundary
cites work: Q4040640
cites work: Q3331506
cites work: Evaluation of the degenerate scale in antiplane elasticity using null field BIE

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cites work: Numerical solution for the degenerate scale problem in plane elasticity using null field CVBIE

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cites work: On the solution of exterior plane problems by the boundary element method: a physical point of view

Degenerate scale for 2D Laplace equation with mixed boundary condition and comparison with other conditions on the boundary (DOI)
DOI: 10.1016/J.ENGANABOUND.2017.12.004