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Marc LaforestDepartment of Mathematics and Industrial Engineering
Profile in the Directory of Experts of Polytechnique Montréal
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Aldirany, Z., Cottereau, R., Laforest, M., & Prudhomme, S. (2024). Multi-level neural networks for accurate solutions of boundary-value problems. Computer Methods in Applied Mechanics and Engineering, 419, 116666 (23 pages). External link
Aldirany, Z., Cottereau, R., Laforest, M., & Prudhomme, S. (2024). Operator approximation of the wave equation based on deep learning of Green's function. Computers & Mathematics with Applications, 159, 21-30. External link
Aldirany, Z., Cottereau, R., Laforest, M., & Prudhomme, S. (2022). Optimal error analysis of the spectral element method for the 2D homogeneous wave equation. Computers & Mathematics With Applications, 119, 241-256. External link
Alves, B. S., Sabariego, R. V., Laforest, M., & Sirois, F. (2021). Hyperbolic Basis Functions for Time-Transient Analysis of Eddy Currents in Conductive and Magnetic Thin Sheets. IEEE Transactions on Magnetics, 57(11), 1-10. External link
Choi, H., Kim, H., & Laforest, M. (2018). Relaxation model for the p-Laplacian problem with stiffness. Journal of Computational and Applied Mathematics, 344, 173-189. External link
De Sousa Alves, B., Laforest, M., & Sirois, F. (2022). 3-D Finite-Element Thin-Shell Model for High-Temperature Superconducting Tapes. IEEE Transactions on Applied Superconductivity, 32(3), 1-11. External link
de Sousa Alves, B., Lahtinen, V., Laforest, M., & Sirois, F. (2022). Thin-shell approach for modeling superconducting tapes in the H-φ finite-element formulation. Superconductor Science & Technology, 35(2), 024001 (14 pages). External link
Grilli, F., Sirois, F., Laforest, M., & Ashworth, S. P. (2009). Periodic space-time formulation for numerical AC loss computation in superconductors. IEEE Transactions on Applied Superconductivity, 19(3), 3565-3568. External link
Glimm, J., Jin, H., Laforest, M., Tangerman, F., & Zhang, Y. (2003). A two pressure numerical model of two fluid mixing. Multiscale modeling and simulation, 1(3), 458-484. External link
Hichmani, M., Laforest, M., & Zaoui, E. M. (2023, April). Mixed finite element method in 3D for a nonlinear eddy current problem [Paper]. 9th International Conference on Modeling, Simultation and Appllied Optimization (ICMSAO 2023), Marrakesh,, Morocco. Published in AIP Conference Proceedings, 3034(1). External link
Kheradmand, E., Laforest, M., & Prudhomme, S. (2022). A mathematical framework for the analysis and comparison of contact detection methods for ellipses and ellipsoids. Computational Particle Mechanics, 9(6), 1153-1203. External link
Kardhashi, E., Laforest, M., & LeFloch, P. G. (2022). The mathematical theory of splitting-merging patterns in phase transition dynamics. Communications in Partial Differential Equations, 47(7), 1339-1393. External link
Kheradmand, E., Prudhomme, S., & Laforest, M. (2021). A fast contact detection method for ellipsoidal particles. International Journal for Numerical and Analytical Methods in Geomechanics, 45(9), 1169-1194. External link
Kergrene, K., Prudhomme, S., Chamoin, L., & Laforest, M. (2019, May). Adaptive reduced-order modeling using a goal-oriented pgd approach [Paper]. International Conference on Adaptive Modeling and Simulation, El Campello, Spain (1 page). Unavailable
Kergrene, K., Chamoin, L., Laforest, M., & Prudhomme, S. (2019). On a Goal-Oriented Version of the Proper Generalized Decomposition Method. Journal of Scientific Computing, 81(1), 92-111. External link
Kergrene, K., Prudhomme, S., Chamoin, L., & Laforest, M. (2017). Approximation of constrained problems using the PGD method with application to pure Neumann problems. Computer Methods in Applied Mechanics and Engineering, 317, 507-525. External link
Kergrene, K., Prudhomme, S., Chamoin, L., & Laforest, M. (2017). A new goal-oriented formulation of the finite element method. Computer Methods in Applied Mechanics and Engineering, 327, 256-276. External link
Kim, H., Laforest, M., & Yoon, D. (2010). An Adaptive Version of Glimm's Scheme Dedicated to Professor James Glimm on the Occasion of His 75th Birthday. Acta Mathematica Scientia, 30(2), 428-446. External link
Law, Y.-M., & Laforest, M. (2019). A nonlinear relaxation formulation of the p-curl problem modelling high-temperature superconductors: a modified Yee's scheme. Journal of Computational Physics, 378, 591-614. External link
Laforest, M., & LeFloch, P. G. (2010). Diminishing functionals for nonclassical entropy solutions selected by kinetic relations. Portugaliae Mathematica, 67(3), 279-319. External link
Laforest, M. (2008). Récidivisme. Accromath, 3(1), 8-11. External link
Laforest, M. (2007). Mechanisms for Error Propagation and Cancellation in Glimm's Scheme Without Rarefactions. Journal of Hyperbolic Differential Equations, 4(3), 501-531. External link
Laforest, M. (2006, July). An a posteriori error estimate for Glimm's scheme [Paper]. 11th International Conference on Hyperbolic Problems : Theory, Numerics and Applications, Lyon, France. External link
Laforest, M. (2004). A posteriori error estimate for front-tracking : systems of conservation laws. SIAM journal on mathematical analysis, 35(5), 1347-1370. External link
Paquette-Rufiange, A., Prudhomme, S., & Laforest, M. (2023). Optimal design of validation experiments for the prediction of quantities of interest. Computer Methods in Applied Mechanics and Engineering, 414, 27 pages. External link
Paquette-Rufiange, A., Prudhomme, S., & Laforest, M. (2019, September). Topology Optimization of Lattices by Adaptative Processes [Paper]. 2nd International Conference on Simulation for Additive Manufacturing (SIM-AM 2019), Pavia, Italy (1 page). Unavailable
Paquette-Rufiange, A., Prudhomme, S., & Laforest, M. (2017, October). Design of unstructured lattices by an adaptive topology optimization process [Paper]. Simulation for Additive Manufacturing (Sinam 2017), Munich, Germany. Unavailable
Wan, A. T. S., & Laforest, M. (2020). A posteriori error estimation for the p-curl problem. SIAM Journal on Numerical Analysis, 58(1), 460-491. External link
Zaoui, E. M., & Laforest, M. (2014). Stability and modeling error for the Boltzmann equation. Kinetic and Related Models, 7(2), 401-414. External link
