Towards a procedure to automatically improve finite element solutions by interpolation covers

被引：23

作者：

Kim, Jaehyung ^{[1
]}

Bathe, Klaus-Juergen ^{[1
]}

机构：

[1] MIT, Dept Mech Engn, Cambridge, MA 02139 USA

来源：

COMPUTERS & STRUCTURES | 2014年 / 131卷

关键词：

Finite elements; 3-Node triangular element; 4-Node tetrahedral element; Improvement of displacements and stresses; Interpolation covers; Enrichment of interpolations;

D O I：

10.1016/j.compstruc.2013.09.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In a previous paper (Kim and Bathe, 2013) [1], we introduced a scheme to improve finite element displacement and stress solutions by the use of interpolation covers. In the present paper we show how the scheme can be used to automatically improve finite element solutions. As in Ref. (Kim and Bathe, 2013) [1], we focus on the use of the low-order finite elements for the analysis of solids, namely, the 3-node triangular and 4-node tetrahedral elements with the use of interpolation covers. An error indicator is employed to automatically establish which order cover to apply at the finite element mesh nodes to best improve the accuracy of the solution. Some two- and three-dimensional problems are solved to illustrate the procedure. (c) 2013 Elsevier Ltd. All rights reserved.

引用

页码：81 / 97

页数：17

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[2]

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