Higher-Order Discontinuous Galerkin Method for Pyramidal Elements using Orthogonal Bases
نویسندگان
چکیده
We study finite elements of arbitrarily high-order defined on pyramids for discontinuous Galerkin methods. We propose a new family of high-order pyramidal finite elements 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 the mass matrix are also considered and discussed. Numerical experiments are conducted for the 3-D Maxwell’s equations.
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