Memorias de investigación
Artículos en revistas:
The Bassi Rebay 1 scheme is a special case of the Symmetric Interior Penalty formulation for discontinuous Galerkin discretisations with Gauss?Lobatto points
Año:2018

Áreas de investigación
  • Matemáticas,
  • Ingenierías

Datos
Descripción
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.
Internacional
Si
JCR del ISI
Si
Título de la revista
Journal of Computational Physics
ISSN
0021-9991
Factor de impacto JCR
2,864
Información de impacto
Datos JCR del año 2017
Volumen
363
DOI
10.1016/j.jcp.2018.02.035
Número de revista
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1
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  • Creador: Departamento: Matemática Aplicada a la Ingeniería Aeroespacial