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]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Language
en
Article de revue
This item was published in
Numerical Methods for Partial Differential Equations. 2013-01, vol. 29, n° 1, p. 144-169
Wiley
English 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 ...Read more >
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.Read less <
English Keywords
Pyramidal element
Higher-order finite element
Hybrid mesh
Conformal mesh
Discontinuous Galerkin method
Orthogonal basis functions
Origin
Hal imported