Remarks on mixed-integer formulations for hyper-reduction schemes in nonlinear dynamics

Autor: Pierre Phalippou, Piotr Breitkopf, Salim Bouabdallah, Malek Zarroug, Pierre Villon

Publikováno v: Advanced Modeling and Simulation in Engineering Sciences, Vol 7, Iss 1, Pp 1-23 (2020)

Abstract The hyper-reduction problem for reduced-order internal forces evaluation in transient, nonlinear, explicit dynamics is reformulated, employing Mixed-Integer Programming (MIP), taking into account consistency constraints. Constraint reduction

Externí odkaz: https://doaj.org/article/5c88d7968e644a2e8ff2d0f05e3e2e5c

13C-Metabolic Flux Analysis in Developing Flax (Linum usitatissinum L.) Embryos to Understand Storage Lipid Biosynthesis

Autor: Sébastien Acket, Anthony Degournay, Yannick Rossez, Stéphane Mottelet, Pierre Villon, Adrian Troncoso-Ponce, Brigitte Thomasset

Publikováno v: Metabolites, Vol 10, Iss 1, p 14 (2019)

Flax (Linum usitatissinum L.) oil is an important source of α-linolenic (C18:3 ω-3). This polyunsaturated fatty acid is well known for its nutritional role in human and animal diets. Understanding storage lipid biosynthesis in developing flax embry

Externí odkaz: https://doaj.org/article/dc7eab3631ec4458bf01d3169c48ea55

Identification of nonlinear dynamical system equations using dynamic mode decomposition under invariant quantity constraints

Autor: Pierre Villon, Florian De Vuyst

Publikováno v: Comptes Rendus. Mécanique
Comptes Rendus. Mécanique, Académie des sciences (Paris), 2019, 347, pp.882-890. ⟨10.1016/j.crme.2019.11.013⟩

In this paper, an algorithm for identifying equations representing a continuous nonlinear dynamical system from a noise-free state and time-derivative state measurements is proposed. It is based on a variant of the extended dynamic mode decomposition

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af46d92bbffce5920c0aee8e2c475088
https://doi.org/10.1016/j.crme.2019.11.013

Remarks on mixed-integer formulations for hyper-reduction schemes in nonlinear dynamics

Autor: Malek Zarroug, Piotr Breitkopf, Pierre Phalippou, Pierre Villon, Salim Bouabdallah

Publikováno v: Advanced Modeling and Simulation in Engineering Sciences
Advanced Modeling and Simulation in Engineering Sciences, SpringerOpen, 2020, 7 (1), ⟨10.1186/s40323-020-00167-0⟩
Advanced Modeling and Simulation in Engineering Sciences, Vol 7, Iss 1, Pp 1-23 (2020)

The hyper-reduction problem for reduced-order internal forces evaluation in transient, nonlinear, explicit dynamics is reformulated, employing Mixed-Integer Programming (MIP), taking into account consistency constraints. Constraint reduction is intro

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7be5c3a90a49c571d2b526ed77d5399
https://hal.archives-ouvertes.fr/hal-02952458

Extended Co-Kriging interpolation method based on multi-fidelity data

Autor: Weihong Zhang, Pierre Villon, Guohua Zhang, Piotr Breitkopf, Manyu Xiao

Publikováno v: Applied Mathematics and Computation. 323:120-131

The common issue of surrogate models is to make good use of sampling data. In theory, the higher the fidelity of sampling data provided, the more accurate the approximation model built. However, in practical engineering problems, high-fidelity data m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::55b4ba310486553ecd92a13a5ccee193
https://doi.org/10.1016/j.amc.2017.10.055