Higher-Order Discontinuous Galerkin Method for Pyramidal Elements using Orthogonal Bases
DURUFLÉ, Marc
Institut de Mathématiques de Bordeaux [IMB]
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
DURUFLÉ, Marc
Institut de Mathématiques de Bordeaux [IMB]
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
< Réduire
Institut de Mathématiques de Bordeaux [IMB]
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Langue
en
Article de revue
Ce document a été publié dans
Numerical Methods for Partial Differential Equations. 2013-01, vol. 29, n° 1, p. 144-169
Wiley
Résumé en anglais
We study arbitrarily high-order finite elements defined on pyramids on discontinuous Galerkin methods. We propose a new family of high-order pyramidal finite element using orthogonal basis functions which can be used in ...Lire la suite >
We study arbitrarily high-order finite elements defined on pyramids on discontinuous Galerkin methods. We propose a new family of high-order pyramidal finite element using orthogonal basis functions which can be used in hybrid meshes including hexahedra, tetrahedra, wedges and pyramids. We perform a comparison between these orthogonal functions and nodal functions for affine and non-affine elements. Different strategies for the inversion of mass matrix are also considered and discussed. Numerical experiments are conducted for 3-D Maxwell's equations.< Réduire
Mots clés en anglais
Pyramidal element
Higher-order finite element
Hybrid mesh
Conformal mesh
Discontinuous Galerkin method
Orthogonal basis functions
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