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2.5D singular boundary method for acoustic wave propagation
Applied Mathematics Letters, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei, Xing, Luo, Wenjun
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The Singular Function Boundary Integral Method for Elliptic Problems with Boundary Singularities
2009We review the Singular Function Boundary Integral Method (SFBIM) for solving two-dimensional elliptic problems with boundary singularities. In this method the solution is approximated by the leading terms of the asymptotic expansion of the local solution. The unknowns to be calculated are the singular coefficients, i.e.
Evgenia Christodoulou +2 more
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Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems
SIAM Journal on Scientific Computing, 1996The authors develop boundary layer resolving pseudospectral methods for singular perturbation problems for ordinary differential equations. Stable and accurate results are obtained for thin boundary layers with a fairly small numbers of spectral collocation points.
Tang, Tao, Trummer, Manfred R.
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Ritz–Galerkin Methods for Singular Boundary Value Problems
SIAM Journal on Numerical Analysis, 1978This paper is concerned with the application of the Ritz–Galerkin method to the numerical solution of singular boundary value problems of the type arising when Poisson’s equation on, a domain with cylindrical or spherical symmetry is reduced to a one-dimensional problem. The objective is to derive a priori $L_2 $- and $L_\infty $-norm estimates for the
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Edge distribution method for solving elliptic boundary value problems with boundary singularities
Physical Review E, 2003Elliptic boundary value problems are difficult to treat in the vicinity of singularities, i.e., edges and corners, of the boundary. The concentration of electrical charge on the edges and corners of a conductor is perhaps the simplest example of such problems. Here we provide a rapid method for accurate treatment of these problems.
James A, Given, Chi-Ok, Hwang
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A collocation and least squares p-singular boundary method without fictitious boundary
Engineering Analysis with Boundary Elements, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghorbani, Mehrzad, Watson, Daniel
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Applied Mathematics and Computation, 2010
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Christodoulou, Evgenia +5 more
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Christodoulou, Evgenia +5 more
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Symmetric singular boundary method for potential problems with mixed boundary conditions
Engineering Analysis with Boundary Elements, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pang, Guofei, Chen, Wen
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The singular boundary method for solving Signorini problems
Engineering Analysis with Boundary Elements, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bin Chen, Xing Wei, Linlin Sun
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The method of inner boundary condition for singular boundary value problems
Applied Mathematics and Computation, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ravi Kanth, A. S. V., Reddy, Y. N.
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