Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14514
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Main Title: Index Reduction for Operator Differential-Algebraic Equations in Elastodynamics
Author(s): Altmann, Robert
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15741
http://dx.doi.org/10.14279/depositonce-14514
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: In space semi-discretized equations of elastodynamics with weakly enforced Dirichlet boundary conditions lead to differential algebraic equations (DAE) of index 3. We rewrite the continuous model as operator DAE and present an index reduction technique on operator level. This means that a semi-discretization leads directly to an index-1 system. We present existence results for the operator DAE with nonlinear damping term and show that the reformulated operator DAE is equivalent to the original equations of elastodynamics. Furthermore, we show that index reduction and semi-discretization in space commute.
Subject(s): elastodynamics
operator DAE
index reduction
Dirichlet boundary conditions
Issue Date: 12-Jul-2012
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65J15 Equations with nonlinear operators
65L80 Methods for differential-algebraic equations
65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2012, 24
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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