Browsing by Subject "Dirichlet boundary condition"
Now showing items 16 of 6

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 twodimensional biharmonic problem with one boundary singularity, as a model for the Newtonian stickslip flow problem. In the SFBIM, ...

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 DirichletNeumann boundary conditions, using second order finite difference schemes. The resulting linear systems ...

Article
The MFS for the solution of harmonic boundary value problems with nonharmonic boundary conditions
(2013)We investigate applications of the method of fundamental solutions (MFS) for the numerical solution of twodimensional boundary value problems in complex geometries, governed by the Laplace equation and subject to Dirichlet ...

Article
The singular function boundary integral method for 3D Laplacian problems with a boundary straight edge singularity
(2012)Threedimensional Laplace problems with a boundary straightedge singularity caused by two intersecting flat planes are considered. The solution in the neighbourhood of the straight edge can be expressed as an asymptotic ...

Conference Object
The singular function boundary integral method for Laplacian problems with boundary singularities in two and threedimensions
(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, ...

Article
The Singular Function Boundary Integral Method for singular Laplacian problems over circular sections
(2010)The Singular Function Boundary Integral Method (SFBIM) for solving twodimensional elliptic problems with boundary singularities is revisited. In this method the solution is approximated by the leading terms of the asymptotic ...