Index reduction for operator differential-algebraic equations in elastodynamics

DOI10.1002/zamm.201200125zbMath1321.74007OpenAlexW2004818597MaRDI QIDQ2856966

Robert Altmann

Publication date: 31 October 2013

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://depositonce.tu-berlin.de/handle/11303/15741

zbMATH Keywords

elastodynamicsDirichlet boundary conditionsindex reductionoperator DAE

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Systems arising from the discretization of structural vibration problems (70J50)

Related Items (8)

Finite element decomposition and minimal extension for flow equations ⋮ Index reduction by minimal extension for the inverse dynamics simulation of cranes ⋮ On the History of Differential-Algebraic Equations ⋮ Operator index reduction in electromagnetism ⋮ Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations ⋮ Operator differential-algebraic equations with noise arising in fluid dynamics ⋮ Periodic solutions of differential-algebraic equations ⋮ Convergence of the Rothe method applied to operator DAEs arising in elastodynamics

Cites Work

• Multibody dynamics in computational mechanics and engineering applications
• Automatic integration of Euler-Lagrange equations with constraints
• DAEs and PDEs in elastic multibody systems
• Flexible multibody dynamics: Review of past and recent developments
• The mortar finite element method with Lagrange multipliers
• On Lagrange multipliers in flexible multibody dynamics
• Hierarchical A Posteriori Error Estimators for Mortar Finite Element Methods with Lagrange Multipliers
• Index reduction for differential-algebraic equations by minimal extension
• Half-Explicit Runge–Kutta Methods for Differential-Algebraic Systems of Index 2

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