REVIEW AND IMPLEMENTATION OF STAGGERED DG METHODS ON POLYGONAL MESHES

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)66-81
Journal / PublicationJournal of the Korean Society for Industrial and Applied Mathematics
Volume25
Issue number3
Online published25 Sep 2021
Publication statusPublished - 2021

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 (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