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Sparsing in real time simulation

Title data

Schiela, Anton ; Bornemann, Folkmar:
Sparsing in real time simulation.
In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik. Vol. 83 (October 2003) Issue 10 . - pp. 637-647.
ISSN 1521-4001
DOI: https://doi.org/10.1002/zamm.200310070

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Project information

Project title:
Project's official titleProject's id
IST Project "Real-time simulation for design of multi-physics systems" (RealSim) with "Deutsches Zentrum für Luft- und Raumfahrt e. V." (DLR) and Dynasim ABIST-199-11979

Project financing: European Commission, 5th Framework Programme (FP5), Information Society Technologies Programme (IST) for Research, Technological Development and Demonstration on a "User-friendly information society"

Abstract in another language

Modelling of mechatronical systems often leads to large DAEs with stiff components. In real time simulation neither implicit nor explicit methods can cope with such systems in an efficient way: explicit methods have to employ too small steps and implicit methods have to solve too large systems of equations. A solution of this general problem is to use a method that allows manipulations of the Jacobian by computing only those parts that are necessary for the stability of the method. Specifically, manipulation by sparsing aims at zeroing out certain elements of the Jacobian leading to a structure that can be exploited using sparse matrix techniques. The elements to be neglected are chosen by an a priori analysis phase that can be accomplished before the real-time simulation starts. In this article a sparsing criterion for the linearly implicit Euler method is derived that is based on block diagonalization and matrix perturbation theory.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: stiff differential-algebraic equations; real time simulation; mechatronical systems; DAE systems; sparsity structure
Subject classification: Mathematics Subject Classification Code: 65L80 (70-08 70E55)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics (Applied Mathematics) > Professorship Applied Mathematics (Applied Mathematics) - Univ.-Prof. Dr. Anton Schiela
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics (Applied Mathematics)
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 29 May 2015 07:42
Last Modified: 10 Mar 2016 11:00
URI: https://eref.uni-bayreuth.de/id/eprint/11851