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.
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页码：1435 / 1450
页数：16
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