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 …

Theorie und Numerik elliptischer Differentialgleichungen Page 1 Theorie und Numerik
elliptischer Differentialgleichungen 4. Auflage Wolfgang Hackbusch Page 2 Theorie und …

In convection-diffusion problems, transport processes dominate while diffusion effects are
confined to a relatively small part of the domain. This state of affairs means that one cannot …

We present the first a priori error analysis of the h-version of the hybridizable discontinuous
Galkerin (HDG) methods applied to convection-dominated diffusion problems. We show that …

For tracking type distributed optimal control problems subject to second‐order elliptic partial
differential equations, we analyze the regularization error of the state u ϱ and the target u‾ …

We propose a robust a posteriori error estimator for the hybridizable discontinuous Galerkin
method for convection–diffusion equations with dominant convection. The reliability and …

The paper is concerned with the finite element resolution of layers appearing in singularly
perturbed problems. A special anisotropic grid of Shishkin type is constructed for a reaction …

We consider elliptic distributed optimal control problems with energy regularization. Here the
standard L 2-norm regularization is replaced by the H-1-norm leading to more focused …

We consider singularly perturbed convection–diffusion equations on one‐dimensional
networks (metric graphs) as well as the transport problems arising in the vanishing diffusion …