Numerical solution for the degenerate scale in 2D Laplace equation for notch in half-plane using null field BIE

DOI10.1016/J.ENGANABOUND.2016.06.005zbMath1403.74154OpenAlexW2469827531MaRDI QIDQ1655148

Yi-Zhou Chen

Publication date: 9 August 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.2016.06.005

zbMATH Keywords

degenerate scalenotchantiplane elasticity2D Laplace equationnull field integral equationtraction free boundary along half-plane

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Degenerate scale for 2D Laplace equation with Robin boundary condition ⋮ Analytical derivation and numerical experiment of degenerate scale by using the degenerate kernel of the bipolar coordinates ⋮ Revisit of the degenerate scale for an infinite plane problem containing two circular holes using conformal mapping ⋮ On the Degenerate Scale of an Infinite Plane Containing Two Unequal Circles ⋮ Solution for the degenerate scale for a rigid curve in antiplane elasticity by using a weakly singular integral equation

Cites Work

• Evaluation of the degenerate scale in antiplane elasticity using null field BIE
• An asymptotic property of degenerate scales for multiple holes in plane elasticity
• On solvability of a boundary integral equation of the first kind for Dirichlet boundary value problems in plane elasticity
• Degenerate scale for multiply connected Laplace problems
• Linkage between the unit logarithmic capacity in the theory of complex variables and the degenerate scale in the BEM/BIEMs
• Degenerate scale for the Laplace problem in the half-plane; approximate logarithmic capacity for two distant boundaries
• Dual boundary integral equation formulation in antiplane elasticity using complex variable
• Numerical examination for degenerate scale problem for ellipse-shaped ring region in BIE
• Degenerate scales and boundary element analysis of two dimensional potential and elasticity problems
• 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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