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20202022
most citedLocal discontinuous Galerkin method for a third order singularly perturbed problem of convection-diffusion type

1 citations · 3 across the 5 of their papers we have counts for

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5 papers

math.NA2022★ 1 cited

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…

math.NA2022★ 1 cited

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…

math.NA2022★ 1 cited

Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem

Yao Cheng, Shan Jiang, Martin Stynes

A singularly perturbed convection-diffusion problem posed on the unit square in , whose solution has exponential boundary layers, is solved numerically using the loca…

math.NA2021

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-…

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…