Title : Higher-Order Finite Element for Hybrid Meshes Using New Nodal Pyramidal Elements
Year : 2010
Type : paper in peer-reviewed journal
Authors : M. Bergot, G. Cohen, M. Duruflé
Abstract : We provide a comprehensive study of arbitrarily high-order finite element 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.
Themes :
Reference : Journal of Scientific Computing - vol. 42 (pp 345-381 ) images/icons/doctype_pdf.gif