Fully discrete hp-finite elements:: fast quadrature

被引：69
作者：
Melenk, JM
Gerdes, K
Schwab, C [1 ]
机构：
[1] ETH Zurich, Seminar Angew Math, CH-8092 Zurich, Switzerland
[2] Max Planck Inst Math Naturwissensch, D-04103 Leipzig, Germany
[3] Chalmers Univ Technol, Dept Math, SE-41296 Gothenburg, Sweden
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2001年 / 190卷 / 32-33期
关键词：
hp-finite element method; spectral element method; numerical integration;
D O I：
10.1016/S0045-7825(00)00322-4
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A fully discrete hp-finite element method (FEM) is presented. It combines the features of the standard hp-FEM (conforming Galerkin formulation, variable order quadrature schemes, geometric meshes, static condensation) and of the spectral element method (special shape functions and spectral quadrature techniques). The speed-up (relative to standard hp elements) is analyzed in detail both theoretically and computationally. (C) 2001 Elsevier Science B.V. All rights reserved.
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收藏
页码：4339 / 4364
页数：26
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