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Local discontinuous Galerkin method for a third order singularly perturbed problem of convection-diffusion type
Li Yan, Zhoufeng Wang, Yao Cheng
The local discontinuous Galerkin (LDG) method is studied for a third-order singularly perturbed problem of the convection-diffusion type. Based on a regularity assumption for the e…
The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers
Yao Cheng, Martin Stynes
A singularly perturbed convection-diffusion problem,posed on the unit square in , is studied; its solution has both exponential and characteristic boundary layers. Th…
Local discontinuous Galerkin method on layer-adapted meshes for singularly perturbed reaction-diffusion problems in two dimensions
Yanjie Mei, Yao Cheng, Sulei Wang +1
We analyse the local discontinuous Galerkin (LDG) method for two-dimensional singularly perturbed reaction-diffusion problems. A class of layer-adapted meshes, including Shishkin-…
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…