Journal article
Extensions of the HHT-alpha method to differential-algebraic equations in mechanics
Electronic transactions on numerical analysis, Vol.26, pp.190-208
01/01/2007
Abstract
We present second order extensions of the Hilber-Hughes-Taylor- alpha (HHT-alpha) method for systems of overdetermined differential-algebraic equations (ODAEs) arising, for example, in mechanics. A detailed analysis of extensions of the HHT-alpha method is given. In particular a local and global error analysis is presented. Second order convergence is theoretically demonstrated and practically illustrated by numerical experiments. A new variable stepsize formula is proposed which preserves the second order of the method.
Details
- Title: Subtitle
- Extensions of the HHT-alpha method to differential-algebraic equations in mechanics
- Creators
- Laurent O Jay - Univ Iowa, Dept Math, Iowa City, IA 52242 USADan Negrut - Univ Wisconsin, Dept Mech Engn, Madison, WI 53706 USA
- Resource Type
- Journal article
- Publication Details
- Electronic transactions on numerical analysis, Vol.26, pp.190-208
- Publisher
- KENT STATE UNIVERSITY
- ISSN
- 1068-9613
- eISSN
- 1068-9613
- Number of pages
- 19
- Language
- English
- Date published
- 01/01/2007
- Academic Unit
- Mathematics
- Record Identifier
- 9984240868002771
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