Analysis and Improved Methods for the Error Estimation of Numerical Solutions in Solid and Multibody Dynamics

DOI10.1007/978-1-4020-5684-0_4zbMath1323.70009OpenAlexW107810953MaRDI QIDQ3196297

Luis M. Lacoma, Ignacio Romero

Publication date: 29 October 2015

Published in: Computational Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-5684-0_4

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamics of multibody systems (70E55)

Cites Work

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• Expedient implicit integration with adaptive time stepping algorithm for nonlinear transient analysis
• Thirteen ways to estimate global error
• Automatic time step control algorithms for structural dynamics.
• The analysis of the generalized-\(\alpha\) method for nonlinear dynamic problems
• Implementation and adaptivity of a space-time finite element method for structural dynamics
• Analysis of error estimators for the semidiscrete equations of linear solid and structural dynamics
• A methodology for the formulation of error estimators for time integration in linear solid and structural dynamics
• Adaptive finite element procedures for linear and non-linear dynamics

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