Browsing by Subject "Dirichlet boundary condition"
Now showing items 1-6 of 6
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Article
Analysis of the singular function boundary integral method for a biharmonic problem with one boundary singularity
(2012)In this article, we analyze the singular function boundary integral method (SFBIM) for a two-dimensional biharmonic problem with one boundary singularity, as a model for the Newtonian stick-slip flow problem. In the SFBIM, ...
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Article
Finite Difference Schemes for the Cauchy–Navier Equations of Elasticity with Variable Coefficients
(2015)We solve the variable coefficient Cauchy–Navier equations of elasticity in the unit square, for Dirichlet and Dirichlet-Neumann boundary conditions, using second order finite difference schemes. The resulting linear systems ...
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Article
The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions
(2013)We investigate applications of the method of fundamental solutions (MFS) for the numerical solution of two-dimensional boundary value problems in complex geometries, governed by the Laplace equation and subject to Dirichlet ...
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Article
The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity
(2012)Three-dimensional Laplace problems with a boundary straight-edge singularity caused by two intersecting flat planes are considered. The solution in the neighbourhood of the straight edge can be expressed as an asymptotic ...
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Conference Object
The singular function boundary integral method for Laplacian problems with boundary singularities in two and three-dimensions
(2010)We present a Singular Function Boundary Integral Method (SFBIM) for solving elliptic problems with a boundary singularity. In this method the solution is approximated by the leading terms of the asymptotic solution expansion, ...
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Article
The Singular Function Boundary Integral Method for singular Laplacian problems over circular sections
(2010)The Singular Function Boundary Integral Method (SFBIM) for solving two-dimensional elliptic problems with boundary singularities is revisited. In this method the solution is approximated by the leading terms of the asymptotic ...