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Partitioned analysis of coupled mechanical systems

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TLDR
This is a tutorial article that reviews the use of partitioned analysis procedures for the analysis of coupled dynamical systems using the partitioned solution approach for multilevel decomposition aimed at massively parallel computation.
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This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2001-03-02. It has received 806 citations till now. The article focuses on the topics: Dynamical systems theory & State variable.

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A stable second-order partitioned iterative scheme for freely vibrating low-mass bluff bodies in a uniform flow

TL;DR: In this article, a stable partitioned iterative scheme for solving fluid-body interaction problems at low structure-to-fluid mass ratio is presented, which relies on the so-called nonlinear interface force correction based on Aitken's extrapolation process to stabilize the coupled partitioned system employing an arbitrary Lagrangian-Eulerian finite element framework.
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On the coupling between fluid flow and mesh motion in the modelling of fluid–structure interaction

TL;DR: It is shown that the computational efficiency of the simulation of many fluid–solid interaction processes, including fluid flow through flexible pipes, can be increased significantly if some of these coupling terms are calculated exactly.
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On the Nonnormality of Subiteration for a Fluid-Structure-Interaction Problem

TL;DR: It is shown that the transient divergence can amplify the initial error by many orders of magnitude, thus inducing a severe degradation in the robustness and efficiency of the subiteration method.
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Fluid–structure interaction problems with strong added‐mass effect

TL;DR: In this paper, the so-called added-mass effect is investigated from a different point of view of previous publications and the monolithic fluid-structure problem is partitioned using a static condensation of the velocity terms.
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Proper Generalized Decomposition for Multiscale and Multiphysics Problems

TL;DR: This paper is a review of the developments of the Proper Generalized Decomposition (PGD) method for the resolution, using the multiscale/multiphysics LATIN method, of the nonlinear, time-dependent problems encountered in computational mechanics.
References
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The finite element method

TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.

Difference methods for initial-value problems

TL;DR: In this article, differentielles and stabilite were used for differentiable transport in the context of transfert de chaleur and ondes Reference Record created on 2005-11-18, modified on 2016-08-08
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