Bernstein-Bezier finite elements on tetrahedral-hexahedral-pyramidal partitions

被引：17

作者：

Ainsworth, Mark ^{[1
]}

Davydov, Oleg ^{[2
]}

Schumaker, Larry L. ^{[3
]}

机构：

[1] Brown Univ, Div Appl Math, 182 George St, Providence, RI 02912 USA

[2] Univ Giessen, Dept Math, Arndtstr 2, D-35392 Giessen, Germany

[3] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2016年 / 304卷

关键词：

Pyramidal elements; Bernstein-Bezier finite elements; High order elements; SHAPE FUNCTIONS; ORDER; INVERTIBILITY; INTEGRATION;

D O I：

10.1016/j.cma.2016.01.021

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A construction for high order continuous finite elements on partitions consisting of tetrahedra, hexahedra and pyramids based on polynomial Bernstein-Bezier shape functions is presented along with algorithms that allow the computation of the system matrices in optimal complexity O(1) per entry. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：140 / 170

页数：31

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