.png){kind=icon}
返回
Sequential regularization methods for nonlinear higher-index DAEs
.png){kind=icon}
PRE
AI
DOI：10.1137/S1064827595287778.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Sequential regularization methods relate to a combination of stabilization methods and the usual penalty method for differential equations with algebraic equality constraints. This paper extends an earlier work [SIAM J. Numer. Anal., 33 (1996), pp. 1921-1940] to nonlinear problems and to differential algebraic equations (DAEs) with an index higher than 2. Rather than having one ''winning'' method, this is a class of methods from which a number of variants are singled out as being particularly effective methods in certain circumstances. We propose sequential regularization methods for index-2 and index-3 DAEs, both with and without constraint singularities. In the case of no constraint singularity we prove convergence results. Numerical experiments confirm our theoretical predictions and demonstrate the viability of the proposed methods. The examples include constrained multibody systems.
Keyword:
differential algebraic equations
constraint singularities
regularization
stabilization
higher index
multibody systems
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
机构
暂无机构信息
引用论文
Fabrications and evaluations of critical current density of (Ba,Na)Fe2As2 HIP round wires(Ba,Na)Fe2As2 HIP 圆线的制备与临界电流密度评估
PREAI
分享收藏
Histologic confirmation of lesions identified by Prostascint® scan following definitive treatment
PREAI
分享收藏分享收藏In vivo evidence that an adenylate cyclase-cAMP system dilates cerebral arterioles in mice..png)
Stroke
StrokeIF0
PREAI
分享收藏
查看更多内容