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Preprints, Working Papers, ... Year : 2010

Higher-Order Discontinuous Galerkin Method for Pyramidal Elements using Orthogonal Basis

Abstract

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.
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Dates and versions

hal-00547319 , version 1 (16-12-2010)
hal-00547319 , version 2 (13-12-2011)

Identifiers

  • HAL Id : hal-00547319 , version 1

Cite

Morgane Bergot, Marc Duruflé. Higher-Order Discontinuous Galerkin Method for Pyramidal Elements using Orthogonal Basis. 2010. ⟨hal-00547319v1⟩

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