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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, ...
Rate of convergence for vanishing viscosity approximations to hyperbolic balance laws
(2011)
The rate of convergence for vanishing viscosity approximations to hyperbolic balance laws is established. The result applies to systems that are strictly hyperbolic and genuinely nonlinear with a source term satisfying a ...
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, ...