Higher-order Finite Elements for Hybrid Meshes Using New Nodal Pyramidal Elements

被引：47

作者：

Bergot, Morgane ^{[1
]}

Cohen, Gary ^{[1
]}

Durufle, Marc ^{[2
]}

机构：

[1] INRIA Rocquencourt, Projet POems, Le Chesnay, France

[2] Univ Bordeaux 1, Inst Math Bordeaux, Bordeaux, France

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2010年 / 42卷 / 03期

关键词：

Pyramidal element; Higher-order finite element; Hybrid mesh; Conformal mesh; Continuous finite element; Discontinuous Galerkin method; Error estimates; Quadrature formula; DISCONTINUOUS GALERKIN METHOD; EQUATIONS; SOLVE;

D O I：

10.1007/s10915-009-9334-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a comprehensive study of arbitrarily high-order finite elements defined on pyramids. We propose a new family of high-order nodal pyramidal finite element which can be used in hybrid meshes which include hexahedra, tetrahedra, wedges and pyramids. Finite elements matrices can be evaluated through approximate integration, and we show that the order of convergence of the method is conserved. Numerical results demonstrate the efficiency of hybrid meshes compared to pure tetrahedral meshes or hexahedral meshes obtained by splitting tetrahedra into hexahedra.

引用

页码：345 / 381

页数：37

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