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).
Directory of Experts
Laforest, Marc
Directory of Experts
Laforest, Marc
Directory of Experts
Publications by type
Journal article (24)
Conference paper (5)
Book
Book chapter
Patent
Report
Thesis
Dataset
Teaching resource
Image
Audio recording
Video recording
Other
Marc Laforest (29)
- Journal articles (24)
- 2024
Journal article Journal article 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.
- 2023
Journal article 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.
- 2022
Journal article 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.Journal article 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.Journal article 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.Journal article 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.Journal article 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).
- 2021
Journal article 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.Journal article 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.
- 2020
Journal article 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.
- 2019
Journal article 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.
Journal article 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.
- 2018
Journal article 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.
- 2017
Journal article 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.Journal article 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.
- 2014
Journal article Zaoui, E. M., & Laforest, M. (2014). Stability and modeling error for the Boltzmann equation. Kinetic and Related Models, 7(2), 401-414.
- 2010
Journal article 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.Journal article Laforest, M., & LeFloch, P. G. (2010). Diminishing functionals for nonclassical entropy solutions selected by kinetic relations. Portugaliae Mathematica, 67(3), 279-319.
- 2009
Journal article 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.
- 2008
Journal article Laforest, M. (2008). Récidivisme. Accromath, 3(1), 8-11.
- 2007
Journal article Laforest, M. (2007). Mechanisms for Error Propagation and Cancellation in Glimm's Scheme Without Rarefactions. Journal of Hyperbolic Differential Equations, 4(3), 501-531.
- 2004
Journal article Laforest, M. (2004). A posteriori error estimate for front-tracking : systems of conservation laws. SIAM journal on mathematical analysis, 35(5), 1347-1370.
- 2003
Journal article 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.
- 2024
- Conference papers (5)
- 2023
Conference paper 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).
- 2019
Conference paper 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).Conference paper 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).
- 2017
Conference paper 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.
- 2006
Conference paper 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.
- 2023
