REVIEW AND IMPLEMENTATION OF STAGGERED DG METHODS ON POLYGONAL MESHES
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 66-81 |
| Journal / Publication | Journal of the Korean Society for Industrial and Applied Mathematics |
| Volume | 25 |
| Issue number | 3 |
| Online published | 25 Sep 2021 |
| Publication status | Published - 2021 |
Link(s)
| DOI | DOI |
|---|---|
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(1470c710-52ea-415b-a41c-77e48fa74a6b).html |
Abstract
In this paper, we review the lowest order staggered discontinuous Galerkin methods on polygonal meshes in 2D. The proposed method offers many desirable features including
easy implementation, geometrical flexibility, robustness with respect to mesh distortion and
low degrees of freedom. Discrete function spaces for locally H1
and H (div) spaces are considered. We introduce special properties of a sub-mesh from a given star-shaped polygonal
mesh which can be utilized in the construction of discrete spaces and implementation of the
staggered discontinuous Galerkin method. For demonstration purposes, we consider the lowest
case for the Poisson equation. We emphasize its efficient computational implementation using
only geometrical properties of the underlying mesh.
Research Area(s)
- Staggered grid, Discontinuous Galerkin method, Lowest order methods, Polygonal Meshes, Implementation, Static condensation
Citation Format(s)
REVIEW AND IMPLEMENTATION OF STAGGERED DG METHODS ON POLYGONAL MESHES. / Kim, Dohyun; Zhao, Lina; Park, Eun-Jae.
In: Journal of the Korean Society for Industrial and Applied Mathematics, Vol. 25, No. 3, 2021, p. 66-81.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
