Evaluation of the degenerate scale in Laplace equation by using Newton iteration method

DOI10.1016/j.enganabound.2017.02.013zbMath1403.74008OpenAlexW2611588689MaRDI QIDQ1655831

Yi-Zhou Chen

Publication date: 10 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.2017.02.013

zbMATH Keywords

Newton iteration methoddegenerate scale problemnull field BIE formulation

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

The degenerate scales of BIEs for conduction in piecewise homogeneous domains, Degenerate scale for 2D Laplace equation with mixed boundary condition and comparison with other conditions on the boundary, Solution for the degenerate scale for a rigid curve in antiplane elasticity by using a weakly singular integral equation, Study on the double-degeneracy mechanism of BEM/BIEM for a plane elasticity problem with line segments

Cites Work

• 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 solvability of a boundary integral equation of the first kind for Dirichlet boundary value problems 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
• 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
• Degenerate scale for the Laplace problem in the half-plane; approximate logarithmic capacity for two distant boundaries
• Analytical study and numerical experiments for degenerate scale problems in the boundary element method for two-dimensional elasticity
• Degenerate scale problem when solving Laplace's equation by BEM and its treatment