3 citations · 3 across the 5 of their papers we have counts for
7 papers
Robust Numerical Methods for Singularly Perturbed Differential Equations--Supplements
Hans-Görg Roos
The second edition of the book "Roos, Stynes, Tobiska -- Robust Numerical Methods for Singularly Perturbed Differential Equations" appeared many years ago and was for many years a…
Remarks on boundary layers in singularly perturbed Caputo fractional boundary value problems
Hans-Görg Roos
Almost nothing is known about the layer structure of solutions to singularly perturbed Caputo fractional boundary value problems. We discuss simple convection-diffusion and reactio…
On the finite element approximation of fourth order singularly perturbed eigenvalue problems
Hans-Görg Roos, Despo Savvidou, Christos Xenophontos
We consider fourth order singularly perturbed eigenvalue problems in one-dimension and the approximation of their solution by the version of the Finite Element Method (FEM). In…
The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems
Yao Cheng, Yanjie Mei, Hans-Goerg Roos
In this paper we analyze the error as well for the semi-discretization as the full discretization of a time-dependent convection-diffusion problem. We use for the discretization in…
Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers
Mirjana Brdar, Goran Radojev, Hans-Görg Roos +1
We consider a singularly perturbed convection-diffusion with exponential and characteristic boundary layers. The problem is numerically solved by the FEM and SDFEM method with bili…
Error estimates in balanced norms of finite element methods for higher order reaction-diffusion problems
Sebastian Franz, Hans-G. Roos
Error estimates of finite element methods for reaction-diffusion problems are often realised in the related energy norm. In the singularly perturbed case, however, this norm is not…