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Items for "hp-FEM"

A new sequence of hierarchic prismatic elements satisfying De Rham diagram on hybrid meshes

This paper presents a new sequence of affine-equivalent H(curl)- and H(div)-conforming hierarchic prismatic finite elements of arbitrary polynomial degrees, satisfying De Rham diagram on hybrid tetrahedral-prismatic-hexahedral meshes...

Keywords: prismatic elements, higher-order elements, hierarchic elements, hp-FEM, hybrid meshes, De Rham diagram

12/2005 | Journal of Numerical Mathematics, Walter de Gruyter
Discrete maximum principle for a 1D problem with piecewise-constant coefficients solved by hp-FEM

In this paper we prove the discrete maximum principle for a one-dimensional equation of the form (au) = f with piecewise-constant coefficient a(x), discretized by the hp-FEM...

Keywords: discrete maximum principle, hp-FEM, Poisson equation, piecewise-constant coefficients

10/2007 | Journal of Numerical Mathematics, Walter de Gruyter