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math.NA2020
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…
math.NA2020
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…