Numerical solution for degenerate scale problem for exterior multiply connected region

DOI10.1016/j.enganabound.2009.05.005zbMath1244.74146OpenAlexW2171980135MaRDI QIDQ441477

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.2009.05.005

zbMATH Keywords

fundamental solutionboundary integral equationplane elasticitydegenerate scalenormal scale

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (13)

Numerical solution of the degenerate scale problem with arbitrary hole configuration in 2D Laplace equation ⋮ Numerical solution for the degenerate scale problem in plane elasticity using null field CVBIE ⋮ Degenerate scale for 2D Laplace equation with mixed boundary condition and comparison with other conditions on the boundary ⋮ Degenerate scale problem for plane elasticity in a multiply connected region with outer elliptic boundary ⋮ On numerical solution stability of the Laplace equation in absence of the Dirichlet boundary condition: benchmark problem proposal ⋮ An asymptotic property of degenerate scales for multiple holes in plane elasticity ⋮ Formulation of indirect BIEs in plane elasticity using single or double layer potentials and complex variable ⋮ Algorithm singularity of the null-field method for Dirichlet problems of Laplace's equation in annular and circular domains ⋮ On the solution of exterior plane problems by the boundary element method: a physical point of view ⋮ Numerical solution for degenerate scale problem arising from multiple rigid lines in plane elasticity ⋮ On the Degenerate Scale of an Infinite Plane Containing Two Unequal Circles ⋮ Revisit of a degenerate scale: a semi-circular disc ⋮ Degenerate scale problem in antiplane elasticity or Laplace equation for quadrilaterals with arbitrary configuration

Cites Work

• Unnamed Item
• Unnamed Item
• Evaluation of the degenerate scale for BIE in plane elasticity and antiplane elasticity by using conformal mapping
• 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
• 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
• Eigenvalue and eigenfunction analysis arising from degenerate scale problem of BIE in plane elasticity
• 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

This page was built for publication: Numerical solution for degenerate scale problem for exterior multiply connected region