The degenerate scale problem for the Laplace equation and plane elasticity in a multiply connected region with an outer circular boundary

DOI10.1016/j.ijsolstr.2009.02.005zbMath1167.74326OpenAlexW2085459576MaRDI QIDQ837793

N. E. Zubov

Publication date: 21 August 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2009.02.005

zbMATH Keywords

boundary integral equationLaplace equationplane elasticitydegenerate scalemultiply connected region

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (10)

Properties of integral operators and solutions for complex variable boundary integral equation in plane elasticity for multiply connected regions ⋮ Boundary methods for Dirichlet problems of Laplaces equation in elliptic domains with elliptic holes ⋮ Analytical derivation and numerical experiment of degenerate scale by using the degenerate kernel of the bipolar coordinates ⋮ Analytical and numerical studies for solving Steklov eigenproblems by using the boundary integral equation method/boundary element method ⋮ The degenerate scales for plane elasticity problems in piecewise homogeneous media under general boundary conditions ⋮ An asymptotic property of degenerate scales for multiple holes in plane elasticity ⋮ Degenerate scales for thin elastic plates with Dirichlet boundary conditions ⋮ Algorithm singularity of the null-field method for Dirichlet problems of Laplace's equation in annular and circular domains ⋮ A necessary and sufficient BEM/BIEM for two-dimensional elasticity problems ⋮ On rank-deficiency in direct Trefftz method for 2D Laplace problems

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