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Clain, Stéphane Louis

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Author ID: clain.stephane-louis Recent zbMATH articles by "Clain, Stéphane Louis"
Published as: Clain, Stéphane; Clain, S.; Clain, Stéphane Louis; Clain, Stephane
Documents Indexed: 41 Publications since 1993

Publications by Year

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.
81
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
54
2012
Monoslope and multislope MUSCL methods for unstructured meshes. Zbl 1189.65204
Buffard, Thierry; Clain, Stéphane
30
2010
Numerical modeling of induction heating for two-dimensional geometries. Zbl 0801.65120
Clain, S.; Rappaz, J.; Swierkosz, M.; Touzani, R.
24
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.
16
2013
Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients. Zbl 0894.35035
Clain, Stéphane; Touzani, Rachid
12
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.
10
2012
First- and second-order finite volume methods for the one-dimensional nonconservative Euler system. Zbl 1422.76171
Clain, Stéphane; Rochette, David
10
2009
Numerical solution of the free-boundary Bernoulli problem using a level set formulation. Zbl 1090.76048
Bouchon, F.; Clain, S.; Touzani, R.
10
2005
A well-balanced scheme for the shallow-water equations with topography. Zbl 1359.76206
Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise
8
2016
The MOOD method for the non-conservative shallow-water system. Zbl 1390.76415
Clain, S.; Figueiredo, J.
8
2017
\(L^{\infty}\) stability of the MUSCL methods. Zbl 1228.65180
Clain, Stéphane; Clauzon, Vivien
7
2010
A very high-order finite volume method for the time-dependent convection-diffusion problem with Butcher tableau extension. Zbl 1367.65123
Clain, S.; Machado, G. J.
5
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
5
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.
5
2010
The multi-slope MUSCL method. Zbl 1374.76126
Clain, Stéphane; Clauzon, Vivien
4
2008
A two-dimensional stationary induction heating problem. Zbl 0870.35034
Clain, Stéphane; Touzani, Rachid
4
1997
Numerical scheme to complete a compressible gas flow in variable porosity media. Zbl 1103.76347
Rochette, D.; Clain, S.; Buffard, T.
4
2005
Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump. Zbl 1102.76040
Rochette, D.; Clain, S.
4
2006
Elliptic operators of divergence type with Hölder coefficients in fractional Sobolev spaces. Zbl 0930.35050
Clain, S.
3
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.
3
2011
A sixth-order finite volume method for diffusion problem with curved boundaries. Zbl 1443.65291
Boularas, A.; Clain, Stephane; Baudoin, Fulbert
2
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
2
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.
2
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.
2
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.
2
2018
Finite element approximations for the Laplace operator with a right-hand side measure. Zbl 0859.35022
Clain, Stéphane
2
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
2
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.
1
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
1
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.
1
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.
2
2018
The MOOD method for the non-conservative shallow-water system. Zbl 1390.76415
Clain, S.; Figueiredo, J.
8
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
5
2017
A sixth-order finite volume method for diffusion problem with curved boundaries. Zbl 1443.65291
Boularas, A.; Clain, Stephane; Baudoin, Fulbert
2
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.
2
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
1
2017
A well-balanced scheme for the shallow-water equations with topography. Zbl 1359.76206
Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise
8
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
2
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
2
2015
A very high-order finite volume method for the time-dependent convection-diffusion problem with Butcher tableau extension. Zbl 1367.65123
Clain, S.; Machado, G. J.
5
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.
1
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.
16
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.
1
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
54
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.
10
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.
81
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.
3
2011
Monoslope and multislope MUSCL methods for unstructured meshes. Zbl 1189.65204
Buffard, Thierry; Clain, Stéphane
30
2010
\(L^{\infty}\) stability of the MUSCL methods. Zbl 1228.65180
Clain, Stéphane; Clauzon, Vivien
7
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.
5
2010
First- and second-order finite volume methods for the one-dimensional nonconservative Euler system. Zbl 1422.76171
Clain, Stéphane; Rochette, David
10
2009
The multi-slope MUSCL method. Zbl 1374.76126
Clain, Stéphane; Clauzon, Vivien
4
2008
Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump. Zbl 1102.76040
Rochette, D.; Clain, S.
4
2006
Numerical solution of the free-boundary Bernoulli problem using a level set formulation. Zbl 1090.76048
Bouchon, F.; Clain, S.; Touzani, R.
10
2005
Numerical scheme to complete a compressible gas flow in variable porosity media. Zbl 1103.76347
Rochette, D.; Clain, S.; Buffard, T.
4
2005
Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients. Zbl 0894.35035
Clain, Stéphane; Touzani, Rachid
12
1997
A two-dimensional stationary induction heating problem. Zbl 0870.35034
Clain, Stéphane; Touzani, Rachid
4
1997
Elliptic operators of divergence type with Hölder coefficients in fractional Sobolev spaces. Zbl 0930.35050
Clain, S.
3
1997
Finite element approximations for the Laplace operator with a right-hand side measure. Zbl 0859.35022
Clain, Stéphane
2
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.
2
1994
Numerical modeling of induction heating for two-dimensional geometries. Zbl 0801.65120
Clain, S.; Rappaz, J.; Swierkosz, M.; Touzani, R.
24
1993
all top 5

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
all top 5

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

Citations by Year