3 citations · 5 across the 7 of their papers we have counts for
7 papers
A convection-diffusion problem with a large shift on Duran meshes
Mirjana Brdar, Sebastian Franz, Hans-Goerg Roos
A convection-diffusion problem with a large shift in space is considered. Numerical analysis of high order finite element methods on layer-adapted Duran type meshes, as well as on…
Layer-adapted meshes for weak boundary layers
Hans-Goerg Roos
We propose a new class of layer-adapted meshes for weak boundary layers. Especially for fourth-order problems these meshes are extremely useful.
A convection-diffusion problem with a small variable diffusion coefficient
Hans-Goerg Roos, Martin Schopf
Consider a singularly perturbed convection-diffusion problem with small, variable diffusion. Based on certain a priori estimates for the solution we prove robustness of a finite el…
Layer-adapted meshes: Milestones in 50 years of history
Hans-Goerg Roos
50 years ago the first paper on layer-adapted meshes appeared. We sketch the development in all these years with special emphasis on important ideas.
Monotone discretization of elliptic problems with mixed derivatives on anisotropic meshes: a counterexample
Hans-Goerg Roos
We present a counterexample concerning the monotone discretization of elliptic problems with mixed derivatives on anisotropic meshes.
On the Discontinuous Galerkin Finite Element Method for Reaction-Diffusion Problems: Error Estimates in Energy and Balanced Norms
Helena Zarin, Hans-Goerg Roos
A nonsymmetric discontinuous Galerkin FEM with interior penalties has been applied to one-dimensional singularly perturbed reaction-diffusion problems. Using higher order splines o…
Error estimates in balanced norms of finite element methods on Shishkin meshes for reaction-diffusion problems
Hans-Goerg Roos
Error estimates of finite element methods for reaction-diffusion Problems are often realized in the related energy norm. In the singularly perturbed case, however, this norm is not…