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## Clain, Stéphane Louis

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 Author ID: clain.stephane-louis Published as: Clain, Stéphane; Clain, S.; Clain, Stéphane Louis; Clain, Stephane
 Documents Indexed: 41 Publications since 1993
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#### Co-Authors

 5 single-authored 9 Machado, Gaspar J. 8 Loubère, Raphaël 6 Costa, Ricardo 5 Rochette, David 5 Touzani, Rachid 4 Diot, Steven 2 Berthon, Christophe 2 Buffard, Thierry 2 Clauzon, Vivien 2 Colominas, Ignasi 2 Foucher, Françoise 2 Michel-Dansac, Victor 2 Nóbrega, João M. 2 Nogueira, Xesús 2 Ramírez, Luis 2 Rappaz, Jacques 2 Świerkosz, Marek 1 Barbosa, Joaquim Infante 1 Baudoin, Fulbert 1 Bouchon, François 1 Boularas, A. 1 Bussière, W. 1 Cueto-Felgueroso, Luis 1 Fernández-Fidalgo, Javier 1 Loja, Amélia 1 Ngomanda, Malcom Djenno 1 Pereira, Rui M. S. 1 Rodrigues, José Alberto 1 Rodrigues, José Francisco
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#### Serials

 7 Journal of Computational Physics 5 Computer Methods in Applied Mechanics and Engineering 3 Computers and Fluids 3 Computers & Mathematics with Applications 2 Journal of Scientific Computing 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Applied Mathematical Modelling 1 International Journal for Numerical Methods in Fluids 1 Mathematical Methods in the Applied Sciences 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Differential and Integral Equations 1 Advances in Computational Mathematics 1 Journal of Applied Analysis 1 International Journal of Computational Fluid Dynamics 1 International Journal of Applied Mathematics and Computer Science 1 International Journal of Numerical Analysis and Modeling 1 Mathematics in Computer Science
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#### Fields

 29 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 19 Fluid mechanics (76-XX) 5 Classical thermodynamics, heat transfer (80-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 324 times in 209 Documents Cited by Year
A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD). Zbl 1218.65091
Clain, S.; Diot, S.; Loubère, R.
2011
Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials. Zbl 1365.76149
Diot, Steven; Clain, Stéphane; Loubère, Raphaël
2012
Monoslope and multislope MUSCL methods for unstructured meshes. Zbl 1189.65204
Buffard, Thierry; Clain, Stéphane
2010
Numerical modeling of induction heating for two-dimensional geometries. Zbl 0801.65120
Clain, S.; Rappaz, J.; Swierkosz, M.; Touzani, R.
1993
A sixth-order finite volume method for multidomain convection-diffusion problem with discontinuous coefficients. Zbl 1286.80003
Clain, S.; Machado, G. J.; Nóbrega, J. M.; Pereira, R. M. S.
2013
Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients. Zbl 0894.35035
Clain, Stéphane; Touzani, Rachid
1997
Unsteady compressible flow in ducts with varying cross-section: comparison between the nonconservative Euler system and the axisymmetric flow model. Zbl 1271.76294
Rochette, D.; Clain, S.; Bussière, W.
2012
First- and second-order finite volume methods for the one-dimensional nonconservative Euler system. Zbl 1422.76171
Clain, Stéphane; Rochette, David
2009
Numerical solution of the free-boundary Bernoulli problem using a level set formulation. Zbl 1090.76048
Bouchon, F.; Clain, S.; Touzani, R.
2005
A well-balanced scheme for the shallow-water equations with topography. Zbl 1359.76206
Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise
2016
The MOOD method for the non-conservative shallow-water system. Zbl 1390.76415
Clain, S.; Figueiredo, J.
2017
$$L^{\infty}$$ stability of the MUSCL methods. Zbl 1228.65180
Clain, Stéphane; Clauzon, Vivien
2010
A very high-order finite volume method for the time-dependent convection-diffusion problem with Butcher tableau extension. Zbl 1367.65123
2014
A well-balanced scheme for the shallow-water equations with topography or Manning friction. Zbl 1375.35389
Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise
2017
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
The multi-slope MUSCL method. Zbl 1374.76126
Clain, Stéphane; Clauzon, Vivien
2008
A two-dimensional stationary induction heating problem. Zbl 0870.35034
Clain, Stéphane; Touzani, Rachid
1997
Numerical scheme to complete a compressible gas flow in variable porosity media. Zbl 1103.76347
Rochette, D.; Clain, S.; Buffard, T.
2005
Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump. Zbl 1102.76040
Rochette, D.; Clain, S.
2006
Elliptic operators of divergence type with Hölder coefficients in fractional Sobolev spaces. Zbl 0930.35050
Clain, S.
1997
Multi-dimensional optimal order detection (MOOD) - a very high-order finite volume scheme for conservation laws on unstructured meshes. Zbl 1246.76073
Clain, S.; Diot, S.; Loubère, R.
2011
A sixth-order finite volume method for diffusion problem with curved boundaries. Zbl 1443.65291
Boularas, A.; Clain, Stephane; Baudoin, Fulbert
2017
High-accurate SPH method with multidimensional optimal order detection limiting. Zbl 1439.76129
Nogueira, Xesús; Ramírez, Luis; Clain, Stéphane; Loubère, Raphaël; Cueto-Felgueroso, Luis; Colominas, Ignasi
2016
Coupling between nonlinear Maxwell and heat equations for an induction heating problem: Modeling and numerical methods. Zbl 0812.65122
Clain, S.; Rappaz, J.; Swierkosz, M.
1994
A sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes. Zbl 1380.76056
Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.
2017
A posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations. Zbl 1388.76171
Clain, Stéphane; Loubère, Raphaël; Machado, Gaspar J.
2018
Finite element approximations for the Laplace operator with a right-hand side measure. Zbl 0859.35022
Clain, Stéphane
1996
A sixth-order finite volume method for the 1D biharmonic operator: application to intramedullary nail simulation. Zbl 1451.65118
Costa, Ricardo; Machado, Gaspar J.; Clain, Stéphane
2015
The multidimensional optimal order detection method in the three-dimensional case: very high-order finite volume method for hyperbolic systems. Zbl 1455.65147
Diot, S.; Loubère, R.; Clain, S.
2013
A very high-order accurate staggered finite volume scheme for the stationary incompressible Navier-Stokes and Euler equations on unstructured meshes. Zbl 1432.76174
Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Loubère, Raphaël
2017
New cell-vertex reconstruction for finite volume scheme: application to the convection-diffusion-reaction equation. Zbl 1367.65151
Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.
2014
A posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations. Zbl 1388.76171
Clain, Stéphane; Loubère, Raphaël; Machado, Gaspar J.
2018
The MOOD method for the non-conservative shallow-water system. Zbl 1390.76415
Clain, S.; Figueiredo, J.
2017
A well-balanced scheme for the shallow-water equations with topography or Manning friction. Zbl 1375.35389
Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise
2017
A sixth-order finite volume method for diffusion problem with curved boundaries. Zbl 1443.65291
Boularas, A.; Clain, Stephane; Baudoin, Fulbert
2017
A sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes. Zbl 1380.76056
Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.
2017
A very high-order accurate staggered finite volume scheme for the stationary incompressible Navier-Stokes and Euler equations on unstructured meshes. Zbl 1432.76174
Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.; Loubère, Raphaël
2017
A well-balanced scheme for the shallow-water equations with topography. Zbl 1359.76206
Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise
2016
High-accurate SPH method with multidimensional optimal order detection limiting. Zbl 1439.76129
Nogueira, Xesús; Ramírez, Luis; Clain, Stéphane; Loubère, Raphaël; Cueto-Felgueroso, Luis; Colominas, Ignasi
2016
A sixth-order finite volume method for the 1D biharmonic operator: application to intramedullary nail simulation. Zbl 1451.65118
Costa, Ricardo; Machado, Gaspar J.; Clain, Stéphane
2015
A very high-order finite volume method for the time-dependent convection-diffusion problem with Butcher tableau extension. Zbl 1367.65123
2014
New cell-vertex reconstruction for finite volume scheme: application to the convection-diffusion-reaction equation. Zbl 1367.65151
Costa, Ricardo; Clain, Stéphane; Machado, Gaspar J.
2014
A sixth-order finite volume method for multidomain convection-diffusion problem with discontinuous coefficients. Zbl 1286.80003
Clain, S.; Machado, G. J.; Nóbrega, J. M.; Pereira, R. M. S.
2013
The multidimensional optimal order detection method in the three-dimensional case: very high-order finite volume method for hyperbolic systems. Zbl 1455.65147
Diot, S.; Loubère, R.; Clain, S.
2013
Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials. Zbl 1365.76149
Diot, Steven; Clain, Stéphane; Loubère, Raphaël
2012
Unsteady compressible flow in ducts with varying cross-section: comparison between the nonconservative Euler system and the axisymmetric flow model. Zbl 1271.76294
Rochette, D.; Clain, S.; Bussière, W.
2012
A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD). Zbl 1218.65091
Clain, S.; Diot, S.; Loubère, R.
2011
Multi-dimensional optimal order detection (MOOD) - a very high-order finite volume scheme for conservation laws on unstructured meshes. Zbl 1246.76073
Clain, S.; Diot, S.; Loubère, R.
2011
Monoslope and multislope MUSCL methods for unstructured meshes. Zbl 1189.65204
Buffard, Thierry; Clain, Stéphane
2010
$$L^{\infty}$$ stability of the MUSCL methods. Zbl 1228.65180
Clain, Stéphane; Clauzon, Vivien
2010
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
First- and second-order finite volume methods for the one-dimensional nonconservative Euler system. Zbl 1422.76171
Clain, Stéphane; Rochette, David
2009
The multi-slope MUSCL method. Zbl 1374.76126
Clain, Stéphane; Clauzon, Vivien
2008
Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump. Zbl 1102.76040
Rochette, D.; Clain, S.
2006
Numerical solution of the free-boundary Bernoulli problem using a level set formulation. Zbl 1090.76048
Bouchon, F.; Clain, S.; Touzani, R.
2005
Numerical scheme to complete a compressible gas flow in variable porosity media. Zbl 1103.76347
Rochette, D.; Clain, S.; Buffard, T.
2005
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
Elliptic operators of divergence type with Hölder coefficients in fractional Sobolev spaces. Zbl 0930.35050
Clain, S.
1997
Finite element approximations for the Laplace operator with a right-hand side measure. Zbl 0859.35022
Clain, Stéphane
1996
Coupling between nonlinear Maxwell and heat equations for an induction heating problem: Modeling and numerical methods. Zbl 0812.65122
Clain, S.; Rappaz, J.; Swierkosz, M.
1994
Numerical modeling of induction heating for two-dimensional geometries. Zbl 0801.65120
Clain, S.; Rappaz, J.; Swierkosz, M.; Touzani, R.
1993
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#### Cited by 338 Authors

 27 Dumbser, Michael 24 Clain, Stéphane Louis 21 Loubère, Raphaël 11 Boscheri, Walter 9 Machado, Gaspar J. 6 Balsara, Dinshaw S. 6 Bermúdez, Alfredo 6 Costa, Ricardo 5 Kuzmin, Dmitri 5 Nogueira, Xesús 5 Touzani, Rachid 5 Zanotti, Olindo 4 Berthon, Christophe 4 Diot, Steven 4 Gómez, Dolores 4 Hömberg, Dietmar 4 Lewandowski, Roger 4 Michel-Dansac, Victor 4 Ramírez, Luis 4 Rochette, David 4 Turpault, Rodolphe 4 Zhu, Jiang 3 Attar, Ahmed 3 Bernardi, Christine 3 Braeunig, Jean-Philippe 3 Colominas, Ignasi 3 Fernández-Fidalgo, Javier 3 Foucher, Françoise 3 Giuliani, Andrew 3 Han, Ee 3 Herbin, Raphaèle 3 Hidalgo, Arturo 3 Hinkelmann, Reinhard 3 Iben, Uwe 3 Ioriatti, Matteo 3 Krivodonova, Lilia 3 Laamri, El Haj 3 Muñiz, M. Carmen 3 Shu, Chi-Wang 3 Tavelli, Maurizio 3 Warnecke, Gerald G. 3 Xiao, Feng 2 Abdellaoui, Boumediene 2 Bader, Michael 2 Bentifour, Rachid 2 Blachère, Florian 2 Calgaro, Caterina 2 Creusé, Emmanuel 2 Daude, Frédéric 2 De los Reyes, Juan Carlos 2 Deng, Xi 2 Dimarco, Giacomo 2 Druet, Pierre-Étienne 2 Duran, Arnaud 2 Fambri, Francesco 2 Fuhrmann, Jürgen 2 Gaburro, Elena 2 Gallouët, Thierry 2 Galon, Pascal 2 Gao, Jinmei 2 Goudon, Thierry 2 Hajduk, Hennes 2 Hantke, Maren 2 Harbrecht, Helmut 2 Hou, Jingming 2 Hubert, Florence 2 Jiang, Zhenhua 2 Kim, Chongam 2 Latché, Jean-Claude 2 Le Touze, Clement 2 Lederer, Johannes 2 Li, Gang 2 Liang, Qiuhua 2 Masserey, Alexandre 2 Mitrou, Giannoula 2 Murat, François 2 Murrone, Angelo 2 Naumann, Joachim 2 Nóbrega, João M. 2 Park, Jinseok 2 Pena, Francisco J. 2 Petzold, Thomas 2 Rabago, Julius Fergy Tiongson 2 Rocca, Elisabetta 2 Salgado, Pilar 2 Tesson, Remi 2 Toro, Eleuterio F. 2 Tsoutsanis, Panagiotis 2 Weinzierl, Tobias 2 Yan, Chao 2 Yu, Jian 2 Yu, Xijun 1 Abbaszadeh, Mostafa 1 Abgrall, Rémi 1 Abreu, Eduardo 1 Adams, Nikolaus A. 1 Aizinger, Vadym 1 Argatov, Ivan I. 1 Azegami, Hideyuki 1 Bacani, Jerico B. ...and 238 more Authors
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#### Cited in 63 Serials

 56 Journal of Computational Physics 22 Computers and Fluids 14 Computer Methods in Applied Mechanics and Engineering 12 Computers & Mathematics with Applications 12 Journal of Scientific Computing 7 Journal of Computational and Applied Mathematics 4 Numerische Mathematik 4 Applied Numerical Mathematics 4 Applied Mathematical Modelling 3 Journal of Engineering Mathematics 3 Applied Mathematics and Computation 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Advances in Computational Mathematics 2 Applicable Analysis 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics Letters 2 Computational Optimization and Applications 2 Computational and Applied Mathematics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 International Journal of Applied Mathematics and Computer Science 2 Nonlinear Analysis. Real World Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Chaos, Solitons and Fractals 1 Shock Waves 1 International Journal for Numerical Methods in Engineering 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Computational Mathematics and Modeling 1 Computational Mathematics and Mathematical Physics 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Engineering Analysis with Boundary Elements 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Archives of Computational Methods in Engineering 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 International Journal of Differential Equations 1 Axioms 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 SMAI Journal of Computational Mathematics
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#### Cited in 16 Fields

 142 Numerical analysis (65-XX) 125 Fluid mechanics (76-XX) 85 Partial differential equations (35-XX) 16 Classical thermodynamics, heat transfer (80-XX) 12 Mechanics of deformable solids (74-XX) 12 Optics, electromagnetic theory (78-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 4 Geophysics (86-XX) 4 Biology and other natural sciences (92-XX) 2 Integral equations (45-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX)