Averaging techniques for reliable a posteriori FE-error control in elastoplasticity with hardening

被引：20

作者：

Carstensen, C

Alberty, J

机构：

[1] Vienna Univ Technol, Inst Appl Math & Numer Anal, A-1040 Vienna, Austria

[2] Univ Kiel, Math Seminar, D-24098 Kiel, Germany

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2003年 / 192卷 / 11-12期

关键词：

elastoplasticity; variational inequality; a posteriori error estimate; plasticity with hardening; viscoplasticity; primal problem; dual problem; reliability; finite element method; averaging estimator;

D O I：

10.1016/S0045-7825(02)00648-5

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Averaging techniques are popular tools in adaptive finite element methods for numerical simulation in continuum mechanics since they provide efficient a posteriori error control. In this paper, the reliability of any averaging estimator is shown for low order finite element methods in one time-step of elastoplasticity with hardening. The constants and higher-order terms are effected by the hardening and the smoothness of given right-hand sides, but are independent of the structure of a shape-regular mesh. Since it involves a different functional analytical framework, the case of perfect plasticity is excluded from this paper. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：1435 / 1450

页数：16

共 27 条

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