Evaluation of the degenerate scale in antiplane elasticity using null field BIE

DOI10.1016/J.AML.2015.11.003zbMath1331.74174OpenAlexW2292179681MaRDI QIDQ899480

Yi-Zhou Chen

Publication date: 28 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.11.003

zbMATH Keywords

degenerate scale problemcoordinate transformation techniquenull field BIE formulation

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Linear integral equations (45A05)

Related Items (8)

Numerical solution of the degenerate scale problem with arbitrary hole configuration in 2D Laplace equation ⋮ The degenerate scales of BIEs for conduction in piecewise homogeneous domains ⋮ Numerical solution for the degenerate scale in 2D Laplace equation for notch in half-plane using null field BIE ⋮ 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 the Degenerate Scale of an Infinite Plane Containing Two Unequal Circles ⋮ Study on the double-degeneracy mechanism of BEM/BIEM for a plane elasticity problem with line segments

Cites Work

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• An asymptotic property of degenerate scales for multiple holes in plane elasticity
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• Revisit of a degenerate scale: a semi-circular disc
• Linkage between the unit logarithmic capacity in the theory of complex variables and the degenerate scale in the BEM/BIEMs
• Analytical derivation and numerical experiments of degenerate scales for regular \(N\)-gon domains in two-dimensional Laplace problems
• Degenerate scale for the Laplace problem in the half-plane; approximate logarithmic capacity for two distant boundaries
• Null-Field Approach for the Multi-inclusion Problem Under Antiplane Shears
• 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

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