The Bassi Rebay 1 scheme is a special case of the Symmetric Interior Penalty formulation for discontinuous Galerkin discretisations with Gauss-Lobatto points

被引：15

作者：

Manzanero, Juan ^{[1
]}

Rueda-Ramirez, Andres M. ^{[1
]}

Rubio, Gonzalo ^{[1
,2
]}

Ferrer, Esteban ^{[1
,2
]}

机构：

[1] UPM, Sch Aeronaut, ETSIAE, Plaza Cardenal Cisneros 3, E-28040 Madrid, Spain

[2] UPM, SSC, E-28040 Madrid, Spain

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2018年 / 363卷

基金：

欧盟地平线“2020”;

关键词：

Discontinuous Galerkin; Gauss-Lobatto Legendre; Poisson equation; Summation-by-parts property; SPECTRAL ELEMENT METHOD; NAVIER-STOKES EQUATIONS; ADAPTATION STRATEGIES; ELLIPTIC PROBLEMS; DISCRETIZATION; MESHES; APPROXIMATION; SOLVER;

D O I：

10.1016/j.jcp.2018.02.035

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the discontinuous Galerkin (DG) community, several formulations have been proposed to solve PDEs involving second-order spatial derivatives (e.g. elliptic problems). In this paper, we show that, when the discretisation is restricted to the usage of Gauss-Lobatto points, there are important similarities between two common choices: the Bassi-Rebay 1 (BR1) method, and the Symmetric Interior Penalty (SIP) formulation. This equivalence enables the extrapolation of properties from one scheme to the other: a sharper estimation of the minimum penalty parameter for the SIP stability (compared to the more general estimate proposed by Shahbazi [1]), more efficient implementations of the BR1 scheme, and the compactness of the BR1 method for straight quadrilateral and hexahedral meshes. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1 / 10

页数：10

共 31 条

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