Rachid Touzani

List of publications

N. Bachelard, J. Arlandis, C. Garay, R. Touzani, and P. Sebbah, Coalescence of Anderson-localized modes at exceptional points in 2D random media, Submitted
Y. Amirat, R. Touzani Derivation of eddy current equations for a circuit. Submitted
Y. Amirat, R. Touzani A mathematical justification of a Kirchhoff circuit equation. Submitted
Y. Amirat, R. Touzani A circuit equation as a limit of eddy current equations, Archive for Rational Mechanics and Analysis, 226 (2017) 405-440.
R. Touzani, L. Alessio, D. Kuzmichev, R. Buoy, Finite element solution for a coal-bed methane reservoir model, Mathematics and Computers in Simulation, 137 (2017) 448-461.
F. Bouchon, G.H. Peichl, M. Sayeh, R. Touzani, A free boundary problem for the Stokes equations, ESAIM: COCV, 23-1 (2017) 195-215
Y. Amirat, L. Chupin, R. Touzani, Weak solutions to the equations of stationary magnetohydrodynamic flows in porous media, Communication on Pure and Applied Analysis, 13-6 (2014) 2445-2464
D. Rochette, S. Clain, R. Touzani, Voltage excitation in coil rings using magnetically coupled inductor/load for axisymmetric geometry, IEEE Trans. Power Delivery, 29-1 (2014) 117-125
R. Touzani, J. Rappaz, Mathematical Models for Eddy Currents and Magnetostatics, With Selected Applications, Springer, 2013 (300 pages)
A. Ben Abda, F. Bouchon, G.H. Peichl, M. Sayeh, R. Touzani, A Dirichlet-Neumann cost functional approach for the Bernoulli problem, J. Eng. Math., 81-1 (2013) 157-176
C. Bataillon, F. Bouchon, C. Chainais-Hillairet, J. Fuhrmann, E. Hoarau, R. Touzani, Numerical Methods for the Simulation of a Corrosion Model with Moving Oxide Layer, J. Comp. Phys., 231 (2012) 6213-6231
P. André, J. Aubreton, S. Clain, M. Dudeck, E. Duffour, M.F. Elchinger, B. Izrar, D. Rochette, R. Touzani, D. Vacher, Transport coefficients in thermal plasma. Applications to Mars and Titan atmospheres, Eur. Phys. J. D, 57 (2010) 227-234
S. Clain, D. Rochette, R. Touzani, A multislope MUSCL method on unstructured meshes applied to compressible Euler equations for swirling flows, J. Comp. Phys., Vol. 229 (2010) 4884-4906
T. Dubois, R. Touzani, A numerical study of heat island flows: Stationary solutions, Int. J. Num. Meth. Fluids, Vol. 56, No. 6 (2009) 631-655
S. Memiaghe, W. Bussière, D. Rochette, R. Touzani, P. André, Pre-arcing in HBC fuse for high fault currents. Comparison between simulation and experiment, Journal of High Temperature Material Processes, Vol. 12, No. 3 (2008) 243-260
Y. Amirat, R. Touzani, A Two-dimensional eddy current model using thin inductors, Asymptotic Analysis, 58, No. 3 (2008) 171-188
F. Bouchon, S. Clain, R. Touzani, A perturbation method for the numerical solution of the Bernoulli problem, J. Comput. Math., Vol. 26, No. 1 (2008) 23-36
D. Rochette, R. Touzani, W. Bussière, Numerical study of the short pre-arcing time in HBC fuses via an enthalpy formulation, Journal of Physics D: Applied Physics, 40 (2007) 4544-4551
C.M. Kuster, P.A. Gremaud, R. Touzani, Fast numerical methods for Bernoulli free boundary problems, SIAM J. Sci. Comput., 29, No. 2, (2007) 622-634
G. Peichl, R. Touzani, An optimal order finite element method for elliptic interface problems, Proc. Appl. Math. Mech., 7, No. 1, Wiley Interscience (2007) 1025403-1025404
T. Dubois, R. Touzani, Numerical simulations of thermally stratified flows in an open domain, European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006, P. Wesseling, E. Onate and J. Périaux (Eds), TU Delft, The Netherlands, 2006
F. Bouchon, S. Clain, R. Touzani, Numerical solution of the free boundary Bernoulli problem using a level set formulation, Comp. Methods Appl. Mech. Eng., 194, 36-38 (2005) 3934-3948
A. Masserey, J. Rappaz, R. Rozsnyo, R. Touzani, Optimal control of an induction heating process for thixoforming, IEEE Trans. Mag., Vol. 40, No. 3 (2004) 1657-1663
A. Masserey, J. Rappaz, R. Rozsnyo, R. Touzani, Power formulation for the optimal control of an industrial induction heating process for thixoforming, International Journal of Applied Electromagnetics and Mechanics, 19 (2004) 51-56
R. Touzani, An Object Oriented Finite Element Toolkit, Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), July 7-12, 2002, Vienna, Austria, Editors: Mang, H.A.; Rammerstorfer, F.G.; Eberhardsteiner, J., Publisher: Vienna University of Technology, Austria, ISBN 3-9501554-0-6, http://wccm.tuwien.ac.at
P. Béal, J. Koko, R. Touzani, Mesh r-adaptation for unilateral contact problems, International Journal of Applied Mathematics and Computer Science, Vol. 12, No. 1 (2002) 9-16
Y. Amirat, R. Touzani, Asymptotic behavior of the inductance coefficient for thin conductors, Math. Models Meth. Appl. Sci., Vol. 12, No. 2, (2002) 273-289
Y. Amirat, R. Touzani, Self-inductance coefficient for toroidal thin conductors, Nonlinear Analysis, TMA, Vol. 47 (2001) 3295-3305
P. Béal, R. Touzani, Analysis of contact of elastic rods subject to large displacements, Applied Mathematics Letters, 16 (2003) 619-625
M. Shillor, M. Sofonea, R. Touzani, Quasistatic frictional contact and wear of a beam, Discrete and Continuous Dynamic and Impulsive Systems, Vol. 8, No. 2 (2001) 201-218
O. Bodart, A.-V. Boureau, R. Touzani, Numerical investigation of optimal control of induction heating processes, Applied Mathematical Modelling, Vol. 25, (2001) 697-712
P. Béal, R. Touzani, Contact of elastic rods involving large displacements, Mathematical Theory on Networks and Systems, Perpignan (2000)
P. Béal, J. Koko, R. Touzani, A mesh optimization procedure for obstacle problems, CIMASI'2000 Conference, Casablanca, Morocco (2000)
P. Béal, R. Touzani, Contact between elastic rods, IMACS Conference, Alicante, Spain, (1998)
O. Bodart, R. Touzani, Optimal Control Problems in Electromagnetic Processess, SIAM Annual Meeting, Toronto, Canada (1998)
S. Clain, R. Touzani, A two-dimensional stationary induction heating problem, Math. Meth. Appl. Sci., Vol 20, (1997) 759-766
S. Clain, R. Touzani, Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients, M²AN., Vol. 31, No. 7 (1997) 845-870
J. Rappaz, R. Touzani, Mathematical and numerical problems in incompressible magnetohydrodynamics, Second World Congress of Nonlinear Analysts, Athens, Greece (1996)
J. Rappaz, R. Touzani, On a Two-Dimensional Magnetohydrodynamic Problem, II. Numerical Analysis, M²AN,, Vol. 30, No. 2 (1996) 215-235
R. Touzani, Analysis of an eddy current problem involving a thin inductor, Comput. Methods Appl. Mech. Eng., Vol. 131 (1996) 233-240
J. Rappaz, R. Touzani, Modelling, Analysis and Numerical Analysis of a Two-dimensional MHD Problem, SIAM Annual Meeting, Charlotte, NC, USA (1995)
R. Touzani, Eddy Current Problems with Thin Inductors, SIAM Annual Meeting, Charlotte, NC, USA (1995)
R. Touzani, Un problème de courant de Foucault avec inducteur filiforme, C.R. Acad. Sci., Paris, 319, Série I (1994) 771-776
C. Chaboudez, S. Clain, R. Glardon, J. Rappaz, M. Swierkosz, R. Touzani, Numerical modelling in induction heating of long workpieces, IEEE Trans. Mag., Vol. 30, No.6 (1994) 5028-5037
S. Clain, R. Touzani, Solution for a Two-dimensional Stationary Induction Heating Problem Without Bounding Conditions on the Physical Properties, Proc. of the 2nd Conference on Elliptic and Parabolic Operators, Pont-à-Mousson, France (1994)
A. Nouailler, M. Sofonea, R. Touzani, Sur l'existence et l'approximation numérique de la solution pour un problème de contact élastique, Acta Technica Napocensis, No. 37, Vol. 1 (1994) 37-46
S. Clain, J. Rappaz, M. Swierkosz, R. Touzani, Numerical modelling of induction heating for two-dimensional geometries, M³AS, Vol. 3, No. 6 (1993) 805-822
P. Laduguie, A. Lavanchy, R. Touzani, Study of a simple model for chemical adsorption by active carbon beds, Math. Eng. Ind., Vol. 3, No. 4 (1992) 247-264
J. Bourgeois, P.-A. Chevalier, M. Picasso, J. Rappaz, R. Touzani, An MHD problem in the Aluminium industry, Proc. 7-th International Conference on Finite Elements in Flow Problems, Huntsville, Alabama, Hemisphere ed. (1992)
J. Rappaz, R. Touzani, Numerical simulation of solidification processes in EMC, International Symposium on MHD in Process Metallurgy, San Diego, USA (1992)
S. Clain, M. Swierkosz, R. Touzani, Numerical Simulation of Induction Heating Processes, Numerical Methods in Engineering, Proceedings of the First European Conference on Numerical Methods in Engineering, Brussels 1992, Ch. Hirsh, O.C. Zienkiewicz, F. Onate Eds., Elsevier (1992)
J. Bourgeois, P.-A. Chevalier, M. Picasso, J. Rappaz, R. Touzani, Magnetohydrodynamic problem in the Aluminum industry, Finite Elements in Fluids, T.J. Chung Ed., Hemisphere Publishing Corp., Washington (1992), Chap. 19
S. Clain, J. Rappaz, M. Swierkosz, R. Touzani, Numerical simulation of Joule heating, IFIP Conference on Numerical Analysis and Optimization, Rabat, Morocco (1992)
J. Rappaz, R. Touzani, On a two-dimensional magnetohydrodynamic problem. I: Modelling and Analysis, M²AN, Vol. 26, No. 2 (1992) 347-364
J. Rappaz, R. Touzani, Modelling of a two-dimensional magnetohydrodynamic problem, Eur. J. Mech. B/ Fluids, 10, No. 5 (1991) 451-453
A. Lavanchy, R. Touzani, M. Stöckli, Numerical simulation of dynamic physisorption on activated carbon beds, 20th Biennal Conference on Carbon ACS, Univ. of California at Santa Barbara (1991)
P. Laduguie, J. Rappaz, R. Touzani, Simulation numérique de la solidification d'un lingot dans l'industrie de l'aluminium, Journées Numériques 1991, Université de Besançon, Ed. J.M. Crolet, P. Lesaint (1991) 7-16
O. Besson, J. Bourgeois, P.-A. Chevalier, J. Rappaz, R. Touzani, Numerical modelling of electromagnetic casting processes, J. Comp. Phys., Vol. 92, No. 2 (1991) 482-507
O. Besson, R. Laydi, R. Touzani, Un modèle asymptotique en océanographie, C.R. Acad. Sci., t. 310, Série I (1990) 661-665
P. Caussignac, R. Touzani, Numerical solution of three-dimensional boundary layer equations by a discontinuous finite element method. Part II: Implementation and numerical results, Comput. Methods Appl. Mech. Eng., 78 (1990) 1-20
P. Caussignac, R. Touzani, Numerical solution of three-dimensional boundary layer equations by a discontinuous finite element method. Part I: Numerical analysis of linear model problem, Comput. Methods Appl. Mech. Eng., 78 (1990) 249-271
P. Caussignac, R. Touzani, A discontinuous finite element method for heat transfer in a three-dimensional boundary layer, Fifth International Symposium on Numerical Methods in Engineering, Lausanne, Switzerland (1989)
J. Rappaz, R. Touzani, A discontinuous finite element method for heat transfer in a three-dimensional boundary layer, Fifth International Symposium on Numerical Methods in Engineering, Lausanne, Switzerland (1989)
P. Caussignac, R. Touzani, A Finite element method for three-dimensional boundary layer equations, Seventh International Conference on Finite Element Methods in Flow Problems, Huntsville, Alabama, USA (1989)
J. Bourgeois, P.-A. Chevalier, R. Touzani, A Numerical model for electromagnetic casters, Fourth ECMI Meeting on Industrial Mathematics, St. Wolfgang, Austria (1989)
P. Lesaint, R. Touzani, Approximation of the heat equation in a variable domain with application to the Stefan problem, SIAM J. Numer. Anal., Vol. 26, No. 2 (1989) 366-379
R. Touzani, Implementation of the discontinuous finite element method for hyperbolic equations, Comput. Methods Appl. Mech. Eng., 68 (1988) 115-123
P. Caussignac, R. Touzani, Linear conforming and nonconforming upwind finite elements for the convection diffusion equation, IMA J. Numer. Anal., 8 (1988) 85-103
R. Touzani, Finite element computation of pollutant transport in thermally stratified flows, Boundary-Layer Meteorology, 41 (1987) 279-285
R. Touzani, Calculation of the turbulent limiting layer on a plane wing of infinite span, Helvetica Physica Acta, Birkhauser Verlag AG, Basel, 60 (5-6): 834-834 (1987).
R. Touzani, Numerical computation of three-dimensional turbulent boundary layers for the infinite swept wing, ZAMP, Vol. 38 (1987) 741-757