| Date | Speaker | Title | Seminar Type |
|---|---|---|---|
| 12/11/2024 | Alexandre | FENNI-PGD: non-linear surrogate modelling | Keynote |
| 03/12/2024 | Xavier | Review |
- Time: 12:30 on Tuesdays
- Venue: L18 meeting room
Reduced-order modelling
| Topic | Ref |
|---|---|
| A posteriori ROM (POD,RB) | (Chatterjee 2000; Maday, Patera, and Turinici 2002; Maday and Rønquist 2002) |
| A priori ROM (PGD) | (Ladevèze and Dureisseix 1999; Ryckelynck et al. 2006; Chinesta, Ladeveze, and Cueto 2011) |
| Blessing of dimensionality | (A. N. Gorban and Tyukin 2018; Alexander N. Gorban, Tyukin, and Romanenko 2016) |
| Non-linear operator inference | (Kramer, Peherstorfer, and Willcox 2024) |
Modelling
| Topic | Ref |
|---|---|
| Damage mechanics | (Peerlings et al. 1996; Lemaître and Desmorat 2005) |
| Lung poromechanics | (Patte, Genet, and Chapelle 2022) |
Differential Geometry for Engineers
| Topic | Ref |
|---|---|
| Course (french) | (Kolev and Desmorat 2019) |
| Book | (Marsden and Hughes 1994; Sahraee and Wriggers 2023) |
References
Chatterjee, Anindya. 2000. “An Introduction to the Proper Orthogonal Decomposition.” Current Science 78 (7): 808–17. https://www.jstor.org/stable/24103957.
Chinesta, Francisco, Pierre Ladeveze, and Elías Cueto. 2011. “A Short Review on Model Order Reduction Based on Proper Generalized Decomposition.” Archives of Computational Methods in Engineering 18 (4): 395–404. https://doi.org/10.1007/s11831-011-9064-7.
Gorban, A. N., and I. Y. Tyukin. 2018. “Blessing of Dimensionality: Mathematical Foundations of the Statistical Physics of Data.” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376 (2118): 20170237. https://doi.org/10.1098/rsta.2017.0237.
Gorban, Alexander N., Ivan Yu. Tyukin, and Ilya Romanenko. 2016. “The Blessing of Dimensionality: Separation Theorems in the Thermodynamic Limit*.” IFAC-PapersOnLine, 2th IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory TFMST 2016, 49 (24): 64–69. https://doi.org/10.1016/j.ifacol.2016.10.755.
Kolev, Boris, and R. Desmorat. 2019. “Éléments de Géométrie Pour La Mécanique Des Milieux Continus.” https://hal.archives-ouvertes.fr/hal-02343934.
Kramer, Boris, Benjamin Peherstorfer, and Karen E. Willcox. 2024. “Learning Nonlinear Reduced Models from Data with Operator Inference.” Annual Review of Fluid Mechanics 56 (1): 521–48. https://doi.org/10.1146/annurev-fluid-121021-025220.
Ladevèze, Pierre, and David Dureisseix. 1999. “Une nouvelle stratégie de calcul micro/macro en mécanique des structures.” Comptes Rendus de l’Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy 327 (12): 1237–44. https://doi.org/10.1016/S1287-4620(00)88647-0.
Lemaître, J., and R. Desmorat. 2005. Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures. Berlin ; New York: Springer.
Maday, Yvon, Anthony T. Patera, and Gabriel Turinici. 2002. “A Priori Convergence Theory for Reduced-Basis Approximations of Single-Parameter Elliptic Partial Differential Equations.” Journal of Scientific Computing 17 (1): 437–46. https://doi.org/10.1023/A:1015145924517.
Maday, Yvon, and Einar M. Rønquist. 2002. “A Reduced-Basis Element Method.” Journal of Scientific Computing 17 (1): 447–59. https://doi.org/10.1023/A:1015197908587.
Marsden, Jerrold E., and Thomas J. R. Hughes. 1994. Mathematical Foundations of Elasticity. Courier Corporation.
Patte, Cécile, Martin Genet, and Dominique Chapelle. 2022. “A Quasi-Static Poromechanical Model of the Lungs.” Biomechanics and Modeling in Mechanobiology 21 (2): 527–51. https://doi.org/10.1007/s10237-021-01547-0.
Peerlings, R. H. J., R. De Borst, W. a. M. Brekelmans, and J. H. P. De Vree. 1996. “Gradient Enhanced Damage for Quasi-Brittle Materials.” International Journal for Numerical Methods in Engineering 39 (19): 3391–3403. https://doi.org/10.1002/(SICI)1097-0207(19961015)39:19<3391::AID-NME7>3.0.CO;2-D.
Ryckelynck, D., F. Chinesta, E. Cueto, and A. Ammar. 2006. “On the a Priori Model Reduction: Overview and Recent Developments.” Archives of Computational Methods in Engineering 13 (1): 91–128. https://doi.org/10.1007/BF02905932.
Sahraee, Shahab, and Peter Wriggers. 2023. Tensor Calculus and Differential Geometry for Engineers: With Solved Exercises. Cham: Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-33953-0.