Browsing by Subject "Shishkin mesh"
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Article
A note on the convergence rate of the finite element method for singularly perturbed problems using the Shishkin mesh
(2003)We consider the numerical approximation of singularly perturbed problems by the h version of the finite element method on a piecewise uniform, Shishkin mesh. It is well known that this method yields uniform approximations, ...
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Article
A numerical study on the finite element solution of singularly perturbed systems of reaction-diffusion problems
(2007)We consider the approximation of singularly perturbed systems of reaction-diffusion problems, with the finite element method. The solution to such problems contains boundary layers which overlap and interact, and the ...
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Article
Uniform approximation of singularly perturbed reaction-diffusion problems by the finite element method on a Shishkin mesh
(2003)We consider the numerical approximation of singularly perturbed reaction-diffusion problems over two-dimensional domains with smooth boundary. Using the h version of the finite element method over appropriately designed ...