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## Touzani, Rachid

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 Author ID: touzani.rachid Published as: Touzani, R.; Touzani, Rachid External Links: ORCID
 Documents Indexed: 36 Publications since 1987, including 2 Books
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#### Co-Authors

 5 single-authored 5 Amirat, Youcef Aït 5 Clain, Stéphane Louis 5 Rappaz, Jacques 4 Bouchon, François 2 Béal, Pierre 2 Besson, Olivier 2 Caussignac, Philippe 2 Peichl, Gunther H. 2 Sayeh, Mohamed 2 Sofonea, Mircea 1 Alessio, L. 1 Bataillon, Christian 1 Ben Abda, Amel 1 Bodart, Olivier 1 Boureau, Anne-Valérie 1 Bourgeois, J. A. 1 Buoy, R. 1 Caussignac, Phillippe 1 Chainais-Hillairet, Claire 1 Chevalier, P.-A. 1 Chupin, Laurent 1 Dubois, Thierry 1 Fuhrmann, Jürgen 1 Gremaud, Pierre-Alain 1 Hoarau, E. 1 Koko, Jonas 1 Kuster, Christopher M. 1 Kuzmichev, D. 1 Laduguie, P. 1 Lavanchy, A. 1 Laydi, Mohamed Rachid 1 Lesaint, Pierre 1 Nouailler, Alain 1 Rochette, David 1 Shillor, Meir 1 Świerkosz, Marek
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#### Serials

 5 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 RAIRO. Modélisation Mathématique et Analyse Numérique 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Applied Mathematical Modelling 1 SIAM Journal on Scientific Computing 1 Mathematical Engineering in Industry 1 Acta Technica Napocensis. Series: Applied Mathematics and Mechanics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 International Journal of Applied Mathematics and Computer Science 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Communications on Pure and Applied Analysis
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#### Fields

 21 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 12 Numerical analysis (65-XX) 9 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Mechanics of deformable solids (74-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 140 times in 118 Documents Cited by Year
Numerical modeling of induction heating for two-dimensional geometries. Zbl 0801.65120
Clain, S.; Rappaz, J.; Swierkosz, M.; Touzani, R.
1993
Numerical modelling of electromagnetic casting processes. Zbl 0721.65076
Besson, O.; Bourgeois, J.; Chevalier, P.-A.; Rappaz, J.; Touzani, R.
1991
Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients. Zbl 0894.35035
Clain, Stéphane; Touzani, Rachid
1997
A Dirichlet-Neumann cost functional approach for the Bernoulli problem. Zbl 1359.49014
Ben Abda, A.; Bouchon, F.; Peichl, G. H.; Sayeh, M.; Touzani, R.
2013
Numerical solution of the free-boundary Bernoulli problem using a level set formulation. Zbl 1090.76048
Bouchon, F.; Clain, S.; Touzani, R.
2005
Fast numerical methods for Bernoulli free boundary problems. Zbl 1136.65113
Kuster, Christopher M.; Gremaud, Pierre A.; Touzani, Rachid
2007
Numerical investigation of optimal control of induction heating processes. Zbl 0990.93089
Bodart, Olivier; Boureau, Anne-Valérie; Touzani, Rachid
2001
Quasistatic frictional contact and wear of a beam. Zbl 1015.74037
Shillor, M.; Sofonea, M.; Touzani, R.
2001
Mathematical models for eddy currents and magnetostatics. With selected applications. Zbl 1288.78001
Touzani, Rachid; Rappaz, Jacques
2014
A multislope MUSCL method on unstructured meshes applied to compressible Euler equations for axisymmetric swirling flows. Zbl 1346.76078
Clain, S.; Rochette, D.; Touzani, R.
2010
Numerical methods for the simulation of a corrosion model with moving oxide layer. Zbl 1277.35209
Bataillon, C.; Bouchon, F.; Chainais-Hillairet, C.; Fuhrmann, J.; Hoarau, E.; Touzani, R.
2012
Mesh $$r$$-adaptation for unilateral contact problems. Zbl 1038.74040
Béal, Pierre; Koko, Jonas; Touzani, Rachid
2002
A two-dimensional stationary induction heating problem. Zbl 0870.35034
Clain, Stéphane; Touzani, Rachid
1997
Analysis of an eddy current problem involving a thin inductor. Zbl 0881.65124
Touzani, Rachid
1996
Un modèle asymptotique en océanographie. (An asymptotic model in oceanography). Zbl 0693.76030
Besson, Olivier; Laydi, Mohamed; Touzani, Rachid
1990
Approximation of the heat equation in a variable domain with application to the Stefan problem. Zbl 0681.65091
Lesaint, P.; Touzani, R.
1989
Implementation of the discontinuous finite element method for hyperbolic equations. Zbl 0627.65113
Touzani, Rachid
1988
A free boundary problem for the Stokes equations. Zbl 1361.35209
Bouchon, François; Peichl, Gunther H.; Sayeh, Mohamed; Touzani, Rachid
2017
On a two-dimensional magnetohydrodynamic problem. I: Modelling and analysis. Zbl 0738.76086
Rappaz, J.; Touzani, R.
1992
Solution of three-dimensional boundary layer equations by a discontinuous finite element method. I: Numerical analysis of a linear model problem. Zbl 0706.76037
Caussignac, Philippe; Touzani, Rachid
1990
A circuit equation as a limit of eddy current equations. Zbl 1391.35363
Amirat, Youcef; Touzani, Rachid
2017
A two-dimensional eddy current model using thin inductors. Zbl 1171.35119
Amirat, Youcef; Touzani, Rachid
2008
Analysis of contact of elastic rods subject to large displacements. Zbl 1040.74035
Béal, P.; Touzani, R.
2003
Asymptotic behavior of the inductance coefficient for thin conductors. Zbl 1170.78383
Amirat, Youcef; Touzani, Rachid
2002
Solution of three-dimensional boundary layer equations by a discontinuous finite element method. II: Implementation and numerical results. Zbl 0706.76038
Caussignac, Phillippe; Touzani, Rachid
1990
Linear conforming and nonconforming upwind finite elements for the convection-diffusion equation. Zbl 0644.65083
Caussignac, Ph.; Touzani, R.
1988
A free boundary problem for the Stokes equations. Zbl 1361.35209
Bouchon, François; Peichl, Gunther H.; Sayeh, Mohamed; Touzani, Rachid
2017
A circuit equation as a limit of eddy current equations. Zbl 1391.35363
Amirat, Youcef; Touzani, Rachid
2017
Mathematical models for eddy currents and magnetostatics. With selected applications. Zbl 1288.78001
Touzani, Rachid; Rappaz, Jacques
2014
A Dirichlet-Neumann cost functional approach for the Bernoulli problem. Zbl 1359.49014
Ben Abda, A.; Bouchon, F.; Peichl, G. H.; Sayeh, M.; Touzani, R.
2013
Numerical methods for the simulation of a corrosion model with moving oxide layer. Zbl 1277.35209
Bataillon, C.; Bouchon, F.; Chainais-Hillairet, C.; Fuhrmann, J.; Hoarau, E.; Touzani, R.
2012
A multislope MUSCL method on unstructured meshes applied to compressible Euler equations for axisymmetric swirling flows. Zbl 1346.76078
Clain, S.; Rochette, D.; Touzani, R.
2010
A two-dimensional eddy current model using thin inductors. Zbl 1171.35119
Amirat, Youcef; Touzani, Rachid
2008
Fast numerical methods for Bernoulli free boundary problems. Zbl 1136.65113
Kuster, Christopher M.; Gremaud, Pierre A.; Touzani, Rachid
2007
Numerical solution of the free-boundary Bernoulli problem using a level set formulation. Zbl 1090.76048
Bouchon, F.; Clain, S.; Touzani, R.
2005
Analysis of contact of elastic rods subject to large displacements. Zbl 1040.74035
Béal, P.; Touzani, R.
2003
Mesh $$r$$-adaptation for unilateral contact problems. Zbl 1038.74040
Béal, Pierre; Koko, Jonas; Touzani, Rachid
2002
Asymptotic behavior of the inductance coefficient for thin conductors. Zbl 1170.78383
Amirat, Youcef; Touzani, Rachid
2002
Numerical investigation of optimal control of induction heating processes. Zbl 0990.93089
Bodart, Olivier; Boureau, Anne-Valérie; Touzani, Rachid
2001
Quasistatic frictional contact and wear of a beam. Zbl 1015.74037
Shillor, M.; Sofonea, M.; Touzani, R.
2001
Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients. Zbl 0894.35035
Clain, Stéphane; Touzani, Rachid
1997
A two-dimensional stationary induction heating problem. Zbl 0870.35034
Clain, Stéphane; Touzani, Rachid
1997
Analysis of an eddy current problem involving a thin inductor. Zbl 0881.65124
Touzani, Rachid
1996
Numerical modeling of induction heating for two-dimensional geometries. Zbl 0801.65120
Clain, S.; Rappaz, J.; Swierkosz, M.; Touzani, R.
1993
On a two-dimensional magnetohydrodynamic problem. I: Modelling and analysis. Zbl 0738.76086
Rappaz, J.; Touzani, R.
1992
Numerical modelling of electromagnetic casting processes. Zbl 0721.65076
Besson, O.; Bourgeois, J.; Chevalier, P.-A.; Rappaz, J.; Touzani, R.
1991
Un modèle asymptotique en océanographie. (An asymptotic model in oceanography). Zbl 0693.76030
Besson, Olivier; Laydi, Mohamed; Touzani, Rachid
1990
Solution of three-dimensional boundary layer equations by a discontinuous finite element method. I: Numerical analysis of a linear model problem. Zbl 0706.76037
Caussignac, Philippe; Touzani, Rachid
1990
Solution of three-dimensional boundary layer equations by a discontinuous finite element method. II: Implementation and numerical results. Zbl 0706.76038
Caussignac, Phillippe; Touzani, Rachid
1990
Approximation of the heat equation in a variable domain with application to the Stefan problem. Zbl 0681.65091
Lesaint, P.; Touzani, R.
1989
Implementation of the discontinuous finite element method for hyperbolic equations. Zbl 0627.65113
Touzani, Rachid
1988
Linear conforming and nonconforming upwind finite elements for the convection-diffusion equation. Zbl 0644.65083
Caussignac, Ph.; Touzani, R.
1988
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#### Cited by 217 Authors

 11 Touzani, Rachid 9 Bermúdez, Alfredo 5 Gómez, Dolores 5 Peichl, Gunther H. 4 Bacani, Jerico B. 4 Hömberg, Dietmar 4 Lewandowski, Roger 4 Muñiz, M. Carmen 4 Rabago, Julius Fergy Tiongson 4 Salgado, Pilar 4 Zhu, Jiang 3 Attar, Ahmed 3 Ben Abda, Amel 3 Bernardi, Christine 3 Chainais-Hillairet, Claire 3 Laamri, El Haj 3 Rappaz, Jacques 3 Sofonea, Mircea 2 Abdellaoui, Boumediene 2 Amirat, Youcef Aït 2 Azegami, Hideyuki 2 Bentifour, Rachid 2 Besson, Olivier 2 Bouchon, François 2 Canelas, Alfredo 2 Clain, Stéphane Louis 2 Coulaud, Olivier 2 Fuhrmann, Jürgen 2 Gallouët, Thierry 2 Harbrecht, Helmut 2 Hechaichi, Hadjer 2 Kress, Rainer 2 Laydi, Mohamed Rachid 2 Lederer, Johannes 2 Masserey, Alexandre 2 Meir, Amnon J. 2 Méjri, Bochra 2 Mitrou, Giannoula 2 Naumann, Joachim 2 Ochal, Anna 2 Pena, Francisco J. 2 Petzold, Thomas 2 Piñeiro, Marta 2 Rocca, Elisabetta 2 Roche, Jean Rodolphe 2 Sayeh, Mohamed 2 Vermolen, Fred J. 2 Viaño, Juan Manuel 2 Vuik, Cornelis 2 Yu, Xijun 1 Ahn, Jeongho 1 Aouadi, Saloua Mani 1 Argatov, Ivan I. 1 Bank, Randolph E. 1 Barral, Patricia 1 Bartosz, Krzysztof 1 Bay, François 1 Belhachmi, Zakaria 1 Ben Salah, Nizar 1 Benraouda, Ahlem 1 Benson, David J. 1 Bercovier, Michel 1 Bernard-Champmartin, Aude 1 Boccardo, Lucio 1 Bodart, Olivier 1 Boulkhemair, Abdesslam 1 Boureau, Anne-Valérie 1 Braeunig, Jean-Philippe 1 Brancher, Jean-Pierre 1 Brossier, Françoise 1 Bullón, Javier 1 Bürgler, Josef F. 1 Bussière, W. 1 Campo, Marco A. 1 Carbone, Luciano 1 Caussignac, Philippe 1 Caussignac, Phillippe 1 Chacón Rebollo, Tomás 1 Chakib, Abdelkrim 1 Chamekh, Mourad 1 Chang, Yanzhen 1 Chorfi, Nejmeddine 1 Desantis, Derek 1 Díaz Moreno, José Manuel 1 Dreyfuss, Pierre 1 Drobenko, B. D. 1 Drobenko, Bogdan 1 Druet, Pierre-Étienne 1 El Hadj, M. 1 Favennec, Yann 1 Fernández, Jose Ramon 1 Fichtner, Wolfgang 1 Figueiredo, J. J. 1 Fisk, Mike 1 Fortin, André 1 Gallouët, Thomas O. 1 Galvis, Juan 1 García Vázquez, Concepción 1 Gasiński, Leszek 1 Gaudiello, Antonio ...and 117 more Authors
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#### Cited in 67 Serials

 8 Computer Methods in Applied Mechanics and Engineering 7 Journal of Computational and Applied Mathematics 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Computers & Mathematics with Applications 5 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Applicable Analysis 4 Journal of Engineering Mathematics 4 Nonlinear Analysis. Real World Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Applied Mathematical Modelling 2 Computers and Fluids 2 Journal of Computational Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Numerische Mathematik 2 Applied Numerical Mathematics 2 Computational Optimization and Applications 2 Journal of Inverse and Ill-Posed Problems 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Archive for Rational Mechanics and Analysis 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Rheologica Acta 1 Prikladnaya Matematika i Mekhanika 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computational Mechanics 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Potential Analysis 1 Communications in Numerical Methods in Engineering 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Abstract and Applied Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Nonlinear Analysis. Modelling and Control 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 Inverse Problems in Science and Engineering 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 International Journal of Differential Equations 1 Evolution Equations and Control Theory 1 Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition)
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#### Cited in 17 Fields

 64 Partial differential equations (35-XX) 37 Fluid mechanics (76-XX) 35 Numerical analysis (65-XX) 23 Optics, electromagnetic theory (78-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 22 Mechanics of deformable solids (74-XX) 18 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX)