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 …

Many partial differential equations arising in practice are parameter-dependent problems
that are of singularly perturbed type. Prominent examples include plate and shell models for …

This paper extends the multi-level hp-approach—previously introduced for the isotropic
refinement of quadrilateral and hexahedral elements—to the anisotropic refinement of …

A least-squares formulation of the Moving Discontinuous Galerkin Finite Element Method
with Interface Condition Enforcement (LS-MDG-ICE) is presented. This method combines …

A singularly perturbed reaction-diffusion equation in two dimensions is considered. We
assume analyticity of the input data, ie, the boundary of the domain is an analytic curve and …

The presented article is based on the detection and resolution algorithms that are assigned
to the adaptive finite element methods for solid mechanics problems, in which the boundary …

We consider the numerical approximation of singularly perturbed problems, and in particular
reaction–diffusion problems, by the h version of the finite element method. We present …

In this article, we discuss reaction-diffusion problems which produce ordinary boundary
layers and elliptic corner layers. Using the classical polynomial Q 1-finite elements spaces …

We consider the numerical approximation of singularly perturbed reaction‐diffusion
problems over two‐dimensional domains with smooth boundary. Using the h version of the …

In this article, we consider p and hp least-squares spectral element methods for one-
dimensional elliptic boundary layer problems. We derive stability estimates and design a …