Heterogeneous Multiscale Methods for Penalty Methods in Multibody Dynamics

被引：1

作者：

Kettmann, Markus A. ^{[1
]}

Arnold, Martin ^{[1
]}

机构：

[1] Univ Halle Wittenberg, Inst Math, D-06120 Halle, Germany

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B | 2012年 / 1479卷

关键词：

Multibody systems; HMM; penalty methods; highly oscillatory ODEs;

D O I：

10.1063/1.4756269

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the applicability of the heterogeneous multiscale methods (HMM) to the equations of motion of constrained mechanical systems. After introducing a certain family of penalty equations that exhibit highly oscillatory character we use HMM to approximate the solution of those equations efficiently. After presenting some error bounds we show profits as well as limitations of the proposed algorithms by means of some test examples.

引用

页码：839 / 842

页数：4

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