Browsing by Subject "Numerical computations"
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Article
Finite element approximation of convection–diffusion problems using an exponentially graded mesh
(2016)We present the analysis of an h version Finite Element Method for the approximation of the solution to convection–diffusion problems. The method uses piece-wise polynomials of degree p≥1, defined on an exponentially graded ...
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Article
Finite element methods for a singularly perturbed transmission problem
(2009)We consider a one-dimensional singularly perturbed transmission problem with two different diffusion coefficients. The solution will contain boundary layers only in the part of the domain where the diffusion coefficient ...
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Article
A Parameter Robust Finite Element Method for Fourth Order Singularly Perturbed Problems
(2017)We consider fourth order singularly perturbed problems in one-dimension and the approximation of their solution by the h version of the finite element method. In particular, we use piecewise Hermite polynomials of degree ...