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Stabilization and projection methods for multibody dynamics

Eich, Edda; Führer, Claus LU ; Leimkuhler, Ben and Reich, Sebastian (1990) In Technical report A281.
Abstract
In recent years, there has been growing interest in stabilized index reduction techniques for differential-algebraic equations (DAE) of multibody dynamics. A number of the proposals which incorporate the idea of a projection onto the constraint manifold are discussed. The methods are divided into classes based on whether the projection is performed on the residuals of the discretized DAE or on the numerical solution itself, and demonstrate relationships between the methods of each class
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author
organization
publishing date
type
Book/Report
publication status
published
subject
keywords
DIFFERENTIAL EQUATIONS, EULER-LAGRANGE EQUATION, MANY BODY PROBLEM, NUMERICAL STABILITY, PROJECTION, STABILIZATION, ALGEBRA, MACHINERY
in
Technical report
volume
A281
publisher
Helsinki University of Technology
language
English
LU publication?
yes
id
5da539f4-760b-4d17-a7f1-9d5d61a6f4d9 (old id 1414303)
date added to LUP
2009-06-04 12:51:36
date last changed
2017-02-13 13:07:16
@techreport{5da539f4-760b-4d17-a7f1-9d5d61a6f4d9,
  abstract     = {In recent years, there has been growing interest in stabilized index reduction techniques for differential-algebraic equations (DAE) of multibody dynamics. A number of the proposals which incorporate the idea of a projection onto the constraint manifold are discussed. The methods are divided into classes based on whether the projection is performed on the residuals of the discretized DAE or on the numerical solution itself, and demonstrate relationships between the methods of each class},
  author       = {Eich, Edda and Führer, Claus and Leimkuhler, Ben and Reich, Sebastian},
  institution  = {Helsinki University of Technology},
  keyword      = {DIFFERENTIAL EQUATIONS,EULER-LAGRANGE EQUATION,MANY BODY PROBLEM,NUMERICAL STABILITY,PROJECTION,STABILIZATION,ALGEBRA,MACHINERY},
  language     = {eng},
  series       = {Technical report},
  title        = {Stabilization and projection methods for multibody dynamics},
  volume       = {A281},
  year         = {1990},
}