The degenerate scales of BIEs for conduction in piecewise homogeneous domains

DOI10.1016/j.enganabound.2018.10.017zbMath1404.65297OpenAlexW2899591602MaRDI QIDQ1634657

Guy Bonnet, Alain Corfdir

Publication date: 18 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.10.017

zbMATH Keywords

boundary element methodheterogeneous mediaboundary integral equationhalf-planeplane problemsdegenerate scaleconduction equation

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

The degenerate scales for plane elasticity problems in piecewise homogeneous media under general boundary conditions

Cites Work

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• Evaluation of the degenerate scale for BIE in plane elasticity and antiplane elasticity by using conformal mapping
• Evaluation of the degenerate scale in antiplane elasticity using null field BIE
• On the stability of integral equations of the first kind with logarithmic kernels
• Capacity theory on algebraic curves
• Integral equation methods for analysis of piece-wise non-homogeneous three-dimensional elastic solids of arbitrary shape
• Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method
• Degenerate scale for 2D Laplace equation with Robin boundary condition
• Evaluation of the degenerate scale in Laplace equation by using Newton iteration method
• Degenerate scale for 2D Laplace equation with mixed boundary condition and comparison with other conditions on the boundary
• On invertibility of elastic single-layer potential operator
• Domain decomposition methods via boundary integral equations
• Invertibility of the biharmonic single layer potential operator
• Transient heat conduction in anisotropic and functionally graded media by local integral equations
• Linkage between the unit logarithmic capacity in the theory of complex variables and the degenerate scale in the BEM/BIEMs
• The BEM for nonhomogeneous bodies
• Degenerate scale for the Laplace problem in the half-plane; approximate logarithmic capacity for two distant boundaries
• Partial differential equations 1. Foundations and integral representations. With consideration of lectures by E. Heinz
• A formulation and solution procedure for the general non-homogeneous elastic inclusion problem
• A self-regularized approach for rank-deficient systems in the BEM of 2D Laplace problems
• An efficient numerical tank for non‐linear water waves, based on the multi‐subdomain approach with BEM
• The Eigenvalue Problem for a Pair of Coupled Integral Equations Arising in the Numerical Solution of Laplace’s Equation
• Degenerate scale problem when solving Laplace's equation by BEM and its treatment
• Integral equation methods in potential theory. I
• A block equation solver for large unsymmetric matrices arising in the boundary integral equation method

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