Browsing by Subject "Singularly perturbed problems"
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Article
The hp finite element method for singularly perturbed problems in nonsmooth domains
(1999)We consider the numerical approximation of singularly perturbed elliptic boundary value problems over nonsmooth domains. We use a decomposition of the solution that contains a smooth part, a corner layer part and a boundary ...
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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, ...