Journal ArticleDOI
Stabilization of constraints and integrals of motion in dynamical systems
J. Baumgarte,J. Baumgarte +1 more
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In this article, it is shown how the analytical relations can be satisfied in a stabilized manner in order to improve the numerical accuracy of the solution of the differential equations, which leads to a modified differential system which is often stable in the sense of Ljapunov.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1972-06-01. It has received 1429 citations till now. The article focuses on the topics: Numerical partial differential equations & Delay differential equation.read more
Citations
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Journal ArticleDOI
Finite element formulations of constrained media elasticity: A bibliography
G. Prathap,K. Nirmala +1 more
TL;DR: A large class of problems in elasticity need a description by several strain fields as discussed by the authors, and the finite element description of such problems must pay particular attention to a requirement now called "fieldconsistency" which ensures that these vanishing constraints are truly met in finite element discretisation.
Proceedings Article
Efficient rendering of multiple refractions and reflections in natural objects
Stefan Seipel,Anders Nivfors +1 more
TL;DR: A multi-pass rendering approach for approximating the effects of multiple refractions and specular reflections in transparent or semitransparent materials and employs a number of generic cracks surface geometries which are clipped against the geometry to be rendered.
Journal ArticleDOI
Structure of differential-algebraic equations for control problems in mechanics
TL;DR: In this paper, it is shown that the structure of differential-algebraic equations (DAEs) describing the problem may essentially differ from that of governing equations for a constrained mechanical system.
Book ChapterDOI
Dynamic Analysis. Equations of Motion
TL;DR: This chapter deals with the direct dynamic problem which consists of determining the motion of a multibody system that results from the application of the external forces and/or the kinematically controlled or driven degrees of freedom.
Book ChapterDOI
Implicit constraint enforcement for rigid body dynamic simulation
TL;DR: A simple, robust, and effective constraint enforcement scheme for rigid body dynamic simulation that treats the constraint equations implicitly providing stability as well as accuracy in constrained dynamic problems is presented.
References
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Journal ArticleDOI
Numerical stabilization of the differential equations of Keplerian motion
J. Baumgarte,J. Baumgarte +1 more
TL;DR: In this article, a stabilization of the classical equations of two-body motion is offered, characterized by the use of the regularizing independent variable (eccentric anomaly) and by the addition of a control-term to the differential equations.