The degenerate scale problem for the Laplace equation and plane elasticity in a multiply connected region with an outer circular boundary
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Publication:837793
DOI10.1016/j.ijsolstr.2009.02.005zbMath1167.74326OpenAlexW2085459576MaRDI QIDQ837793
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
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
Cites Work
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- Degenerate scale for multiply connected Laplace problems
- 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
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