Estimation of global time integration errors in rigid body dynamics

被引：0

作者：

Neumann, Jens ^{[1
]}

Schweizerhof, Karl ^{[1
]}

机构：

[1] Univ Karlsruhe, Inst Mech, Kaiserstr 12, D-72128 Karlsruhe, Germany

来源：

EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS | 2006年 / 15卷 / 06期

关键词：

time integration; error estimation; adaptive methods; rigid bodies; dynamics;

D O I：

10.3166/remn.15.671-698

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The popular Newmark time integration scheme is used in the standard finite difference form as well as in an equivalent Galerkin form for the time integration of rigid body dynamics problems. Estimators for local and global time integration errors are developed. In particular the evaluation of the dual problem for different goals of the error is discussed. A special focus is also on the comparison for linear and nonlinear problems. Finally an adaptive time integration scheme is presented for which both - the local and the global - error estimators are used. The merits and limits are shown for some particular numerical problems.

引用

页码：671 / 698

页数：28

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