In the present paper, a brief survey on computational techniques for the different classes of
singularly perturbed problems is given. This survey is a continuation of work performed …

The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

Distributed by Elsevier Science on behalf of Science Press. This book discusses the
accuracy of various finite element approximations and how to improve them, with the help of …

The streamline-diffusion finite element method (SDFEM) is applied to a convection-diffusion
problem posed on the unit square, using a Shishkin rectangular mesh with piecewise …

Consider the singularly perturbed linear reaction-diffusion problem -ε^2Δu+bu=f in Ω⊂R^d,
u=0 on ∂Ω, where d≥1, the domain Ω is bounded with (when d≥2) Lipschitz-continuous …

In this work, the bilinear finite element method on a Shishkin mesh for convection-diffusion
problems is analyzed in the two-dimensional setting. A superconvergence rate $ O (N …

The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

This paper describes a new generation of the neutronic core solver MINOS resulting from
developments done in the DESCARTES project. For performance reasons, the numerical …

Since the development of Yee scheme back in 1966, it has become one of the most popular
simulation tools for modeling electromagnetic wave propagation in various situations …

The standard finite element methods on one type of highly nonuniform rectangular meshes,
which is different from the extensively discussed Shishkin type meshes, are considered for …