Browsing by Subject "Exponentially Graded Mesh"
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Article
Finite element analysis of an exponentially graded mesh for singularly perturbed problems
(2015)We present the mathematical analysis for the convergence of an h version Finite Element Method (FEM) with piecewise polynomials of degree p ≥ 1, defined on an exponentially graded mesh. The analysis is presented for a ...
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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 ...