Regularity condition and numerical examination for degenerate scale problem of BIE for exterior problem of plane elasticity

DOI10.1016/j.enganabound.2008.02.004zbMath1244.74145OpenAlexW2022508464MaRDI QIDQ443334

J. Herrera, H. S. Yoon

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.02.004

zbMATH Keywords

boundary integral equationnon-trivial solutionregularity conditionexterior boundary value problemcritical value for sizeimproper solution

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15)

Related Items

Properties of integral operators and solutions for complex variable boundary integral equation in plane elasticity for multiply connected regions, Why dual boundary element method is necessary?, Regularization methods for ill-conditioned system of the integral equation of the first kind with the logarithmic kernel, Revisit of the indirect boundary element method: necessary and sufficient formulation, An asymptotic property of degenerate scales for multiple holes in plane elasticity, A self-regularized approach for rank-deficient systems in the BEM of 2D Laplace problems, Formulation of the MFS for the two-dimensional Laplace equation with an added constant and constraint, On the solution of exterior plane problems by the boundary element method: a physical point of view, Degenerate scale for the Laplace problem in the half-plane; approximate logarithmic capacity for two distant boundaries, Analytical derivation and numerical experiments of degenerate scale for an ellipse in BEM, Linkage between the unit logarithmic capacity in the theory of complex variables and the degenerate scale in the BEM/BIEMs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of \(L\)-integral and theory of the derivative stress field in plane elasticity.
• On invertibility of elastic single-layer potential operator
• An alternative method for degenerate scale problems in boundary element methods for the two-dimensional Laplace equation
• Heritage and early history of the boundary element method
• Numerical solutions in three dimensional elastostatics
• Numerical examination for degenerate scale problem for ellipse-shaped ring region in BIE
• Non-equivalence of the conventional boundary integral formulation and its elimination for plane elasticity problems
• Degenerate scales and boundary element analysis of two dimensional potential and elasticity problems
• Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity
• An integral equation approach to boundary value problems of classical elastostatics
• Degenerate scale problem when solving Laplace's equation by BEM and its treatment
• Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants