Descripción
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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
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Si |
JCR del ISI
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Si |
Título de la revista
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Journal of Computational Physics |
ISSN
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0021-9991 |
Factor de impacto JCR
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2,864 |
Información de impacto
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Datos JCR del año 2017 |
Volumen
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363 |
DOI
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10.1016/j.jcp.2018.02.035 |
Número de revista
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Desde la página
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1 |
Hasta la página
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10 |
Mes
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SIN MES |
Ranking
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