Publications et Collaborations

Publications

" 3-D Thin-Shell Model for High-Temperature Superconducting Tapes", B. de Sousa Alves, M. Laforest, and F. Sirois, submitted to IEEE Transactions in Applied Superconductivity, 11 pages.
" Thin-Shell Approach for Modeling Superconducting Tapes in the H-phi Finite Element Formulation", B. de Sousa Alves, V. Lahtinen, M. Laforest, and F. Sirois, invited submission to Superconducting Science and Technology, special issue for the 7th International Workshop on Numerical Modelling of High Temperature Superconductors.
" Convergence analysis of the spectral element method for the 2D homogeneous wave equation", Z. Aldirany, R. Cottereau, M. Laforest, S. Prudhomme, submitted to Computers and Mathematics with Applications, 2021.
" The mathematical theory of splitting-merging patterns in phase transition dynamics", E. Karhdashi, M. Laforest et Philippe G. LeFloch, conditionally accepted to Comm. Part. Diff. Equ., 2021.
" Hyperbolic Basis Functions for Time-Transient Analysis of Eddy Currents in Conductive and Magnetic Thin Sheets", B. de Sousa Alves, R. Vazquez Sabariego, M. Laforest, and F. Sirois, conditionally accepted to IEEE Transactions on Magnetics, 2021.
" A Mathematical Framework for the Analysis and Comparison of Contact Detection Methods for Ellipses and Ellipsoids", E. Kheradmand, M. Laforest, S. Prudhomme, conditionally accepted to Computational Particle Mechanics, 2021.
" A Fast Contact Detection Method for Ellipsoidal Particles", E. Kheradmand, M. Laforest, S. Prudhomme, International Journal for Numerical and Analytical Methods in Geomechanics, 45 (9), pg 1169-1194, 2021.
" A posteriori error estimation for the p-curl problem", A. Wan, M. Laforest, SIAM J. Numer. Anal., 58(1) : 460-491, 2020.
" On a Goal-Oriented Version of the Proper Generalized Decomposition", K. Kergrene, S. Prudhomme, L. Chamoin et M. Laforest, J. Sci. Computing, 81 : 92-111, 2019.
" A nonlinear relaxation formulation of the p-curl problem modelling high-temperature superconductors : a modified Yee's scheme", Y.-M. Law, M. Laforest, J. Comp. Phy., 378: 591--614, 2019.
" A new goal-oriented formulation of the finite element method", S. Prudhomme, K. Kergrene, L. Chamoin et M. Laforest, Comp. Meth. Appl. Mech. Engr., 327: 256--276, 2017.
" Relaxation model for the p-curl problem with stiffness", H. Choi, H. J. Kim et M. Laforest, J. Comp. Appl. Math., 334: 173-189, 2018.
" Approximation of constrained problems using the PGD method with application to pure Neumann problems", K. Kergrene, S. Prudhomme, L. Chamoin et M. Laforest, Comp. Meth. Appl. Mech. Engr., 317: 507-525, 2017.
" Stability and Modeling Error for the Boltzmann Equation", E. M. Zaoui, M. Laforest, Kinetic and Related Models, 7(2): 401-414, 2014.
" Diminishing functionals for nonclassical entropy solutions selected by kinetic relations", M. Laforest et Philippe G. LeFloch, Portugaliae Math, 67(3): 279-319, 2011.
"An adaptive version of Glimm's scheme", H. Kim, M. Laforest, D. Yoon, Acta Mathematica Scientia, special edition for James Glimm's 75th anniversary, (2) 2010.
"Periodic Space-Time Formulation for Numerical AC Loss Computation in Superconductors", F. Grilli, F. Sirois, M. Laforest, S. P. Ahsworth, IEEE Trans. Applied Superconductivity, 19 (3), 2009.
"Accuracy of modeling error estimates for discrete velocity models", K. C. Assi, M. Laforest, Proceedings of the 12th Conference on Hyperbolic Problems : Theory, Numerics and Applications, 2009.
" Modeling error in L1 for a hierarchy of 1-D discrete velocity models", K. C. Assi, M. Laforest, Transport Theory and Statistical Physics, Vol. 38 (5), 2009.
" A Posteriori Error Estimate for Glimm's Scheme ", M. Laforest Proceedings of the 11th Conference on Hyperbolic Problems : Theory, Numerics and Applications , 8 pages, 2008.
" Mechanisms for Error Propagation and Cancellation in Glimm's Scheme without Rarefactions", M. Laforest, Journal of Hyperbolic Differential Equations , 4(3), 501-531, 2007.
" A Posteriori Error Estimate for Front-Tracking: System of Conservation Laws", SIAM Journal of Mathematical Analysis , 35, (5), 1347-1370, 2004.
" A Two-Pressure Numerical Model of Two Fluid Mixtures", avec J. Glimm, H. Jin, F.M. Tangerman, et Y. Zhang, SIAM Interdisciplinary Journal on Multiscale Modeling and Simulation, 1, (3), 458-484, 2003.
" Front-Tracking for Hyperbolic Conservation Laws by H. Holden and N. H. Risebro (Springer, Berlin, 2002) ISBN 3-540-43289-2", Computer Physics Communications, 155 (2), 181-182, 2003.
Articles en éducation
" Jouer efficacement au Sudoku", M. Laforest, Accromath, 9(1): 24-29, 2014.
" Les ouragans : engins de destruction", M. Laforest, Bulletin AMQ, 53(2): 25-42, 2013.
" Où est le mystère des mathématiques", M. Laforest, Bulletin AMQ, 52(3): 42-50, 2012.
" Géométrie des nombres", M. Laforest, A. Ross, Accromath, 7(1): 8-13, 2012.
" Impact des gaz à effets de serre", M. Laforest, Accromath, 6(1): 12-15, 2011.
" La formule de Pick", I. Jallifier-Verne, M. Laforest, Accromath, 5(2): 10-13, 2010.
" Un polynôme pour les noeuds", J. Guérin, M. Laforest, Accromath, 5(2): 14-17, 2010.
" Récidivisme", M. Laforest, A. Ross, Accromath, 3(1): 8-11 2008.

Articles non publiés

Survey of error indicators and estimators for hyperbolic problems

The p-Curl-Curl : Spaces, Traces, Coercivity and a Helmholtz Decomposition in Lp, M. Laforest, unpublished, 2012. These notes contain detailed constructions of W^p(curl), W^p(div) spaces, and Helmholtz decompositions in Lp space.

Articles à venir

" An adaptive space-time finite element discretization for the p-curl problem from applied superconductivity", A. Wan, M. Laforest et F. Sirois, to be submitted to Comp. Meth. Appl. Mech. Engr.

" Shape Optimization of Unstructured Lattices", A. Paquette-Rufiange, S. Prudhomme et M. Laforest, en préparation.

"Entropy and A Posteriori Error Estimates for Conservation Laws", M. Laforest et E. M. Zaoui, en préparation. //

"The p-curl : an analogue of the p-Laplacian from applied superconductivity", // M. Laforest, en préparation. //

"Impact on AC loss Computations of a Non-Oscillatory Scheme for HTS", // Y.-M. Law, M. Laforest, en préparation. //

"Adaptive version of the Illner-Rjasanow algorithm for the Boltzmann equation", // M. Laforest et E. M. Zaoui, en préparation.

Liste de collaborateurs

Serge Prudhomme, Poly
Frédéric Sirois, Poly
Dominique Pelletier, Poly
Philippe G. Lefloch, Paris VI
Emmanuel Lorin de la Grandmaison, Carleton University
Andy Wan , University of Northern British Columbia.
Thomas E. Voth, Sandia National Lab
Y.-M. Law, Michigan State University
E. Zaoui, École Nationale Supérieure des Mines de Rabat
Don Estep, Simon Fraser University

Listes des étudiants

Post-doc : P. Turbis, X. Lavocat-Dupuis, E. M. Zaoui.
PhD : A. Paquette-Ruffiange, Z. Aldirany, B. de Sousa Alves,M. Hichmani, E. N. Kheradmand, A. Wan, E. Kardhashi
MSc : G. Banna, G. Laberge, R. Thiémonge, A. Schmidt, A. Paquette-Rufiange, P. P. Cardenas Alzate, J. Pellerin, E. Ellaban, C. Y. Liu, K. C. Assi, F. Coutant.
BSc : C. Maaloof, J. Garcia-Mereiles, R. Darvenne, L. Penin, G. Laberge, L. Elysée, A. Paquette-Rufiange, Y.-M. Law, J. Kamden Mamno, N. Foy.