publications
In preparation, pre-print or submitted
[a] S. Clain, G. J. Machado, T. Malheiro. Compact schemes in time with applications to partial differential equations. Submitted
[b] S. Clain, D. Lopes, R. Pereira. Very high-order finite difference method on arbitrary geometries with Cartesian grids for non-linear convection diffusion reaction equations. Submitted
[c] S. Clain, J. Figueiredo, Stencil and kernel optimization for mesh-free very high-order generalized finite difference methods. Submitted
published
2022-2025
[80] GJ Machado, RMS Pereira, S Clain, N Araújo, SO Lopes. A new stabilised scheme for the Richards’ equation with evapotranspiration. Groundwater for Sustainable Development 17 (2022) 100736. https://doi.org/10.1016/j.gsd.2022.100736
[79] C Reis, MA Baptista, M Lopes, CS Oliveira, S Clain. Cascade earthquake and tsunami hazard assessment: A deterministic perspective for engineering purposes. International Journal of Disaster Risk Reduction 75 (2022) 102952. https://doi.org/10.1016/j.ijdrr.2022.102952
[78] Ricardo Costa, Stéphane Clain, Gaspar J. Machado, João M. Nóbrega. Very high-order accurate finite volume scheme for the steady-state incompressible Navier–Stokes equations with polygonal meshes on arbitrary curved boundaries. Comput. Methods Appl. Mech. Engrg. 396 (2022) 115064. https://doi.org/10.1016/j.cma.2022.115064
[77] C Reis, M Lopes, MA Baptista, S Clain. Towards an integrated framework for the risk assessment of coastal structures exposed to earthquake and tsunami hazards. Resilient Cities and Structures 1 (2), 57-75 2022. https://doi.org/10.1016/j.rcns.2022.07.001
[76] Cláudia Reis, André R. Barbosa, Jorge Figueiredo, Stéphane Clain, Mário Lopes, Maria Ana Baptista. Smoothed particle hydrodynamics modeling of elevated structures impacted by tsunami-like waves. Engineering Structures 270 (2022) 114851. https://doi.org/10.1016/j.engstruct.2022.114851
[75] R Costa, JM Nóbrega, S Clain, GJ Machado. High-order accurate conjugate heat transfer solutions with a finite volume method in anisotropic meshes with application in polymer processing. International Journal for numerical methods in Engineering (2022) 123(4) 1146-1185. https://doi.org/10.1002/nme.6892
Scimago SJR:1.421 rk:62/510 (Q1),
ISI web of Sciences IF: 3.477 rk:21/108 (Q1)
2018-2021
[74] C Reis, S Clain, J Figueiredo, AR Barbosa, MA Baptista, M Lopes. Experimentally validated numerical models to assess tsunami hydrodynamic force on an elevated structure. Engineering Structures (2021) 249, 113280. https://doi.org/10.1016/j.engstruct.2021.113280
Scimago SJR: 1.567 rk: 23/289 (Q1- Top10)
ISI web of Sciences IF: 4.471 rk: 20/137 (Q1)
[73] MT Malheiro, GJ Machado, S Clain. An a posteriori strategy for adaptive schemes in time for one-dimensional advection-diffusion transport equations. Computers & Mathematics with Applications (2021) 103, 65-81. https://doi.org/10.1016/j.camwa.2021.10.022
Scimago SJR: 1.079 26/146 (Q1)
ISI web of Sciences IF: 3.476 16/309 (Q1-Top10)
[72] R Costa, JM Nóbrega, S Clain, GJ Machado. Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains. Journal of Computational Physics (2021) 445, 110604. https://doi.org/10.1016/j.jcp.2021.110604
Scimago SJR: 1.882, rk: 30/510 (Q1-Top10)
ISI web of Sciences IF: 3.553 rk: 6/58 (Q1)
[71] V Michel-Dansac, C Berthon, S Clain, F Foucher. A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction. Computers & Fluids (2021) 230, 105152. https://doi.org/10.1016/j.compfluid.2021.105152
Scimago SJR: 1.061 rk: 21/269 (Q1-Top10)
ISI web of Sciences IF: 3.013 48/158 (Q2)
[70] J. Figueiredo, S. Clain. A MOOD-MUSCL hybrid formulation for the non-conservative shallow-water system. Journal of Scientific Computing (2021) 88, pp 1--30. https://doi.org/10.1007/s10915-021-01513-z
Scimago SRJ: 1.53 rk:52/520 (Q1-Top10)
ISI web of Sciences IF: 2.592 rk: 38/309 (Q1)
[69] S. Clain, D. Lopes, R.M.S. Pereira. Very high-order cartesian-grid finite difference method on arbitrary geometries. Journal of Computational Physics (2021) 434, 110217. https://doi.org/10.1016/j.jcp.2021.110217
Scimago SRJ: 1.882 rk: 30/510 (Q1-top10)
ISI web of Sciences IF: 3.553 rk: 6/58 (Q1)
[68] J. Figueiredo, S. Clain. On the solution of the solpe beach problem in the context of shallow-water code benchmarking: why non-linearization of the initial waveforms is essential. Advances in Water Resources (2020) 145, 103751. https://doi.org/10.1016/j.advwatres.2020.103751
Scimago SRJ: 1.314 rk: 21/221 (Q1-Top10)
ISI web of Sciences IF: 4.51 rk=17/98 (Q1)
[67] J Fernández-Fidalgo, S Clain, L Ramírez, I Colominas, X Nogueira, Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids. Computer Methods in Applied Mechanics and Engineering (2020) 360, 112782. https://doi.org/10.1016/j.cma.2019.112782
Scimago SRJ: 2.530, rk: 1/73 (Q1-Top10)
ISI web of Sciences IF: 6.756 rk: 2/108 (Q1-Top 10)
[66] R Costa, JM Nóbrega, S Clain, GJ Machado. Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts. Computer Methods in Applied Mechanics and Engineering (2019) 357, 112560. https://doi.org/10.1016/j.cma.2019.07.029
Scimago SRJ: 2.786, rk: 1/74 (Q1-Top10)
ISI web of Sciences IF: 6.756 rk: 2/108 (Q1-Top10)
[65] R Costa, JM Nóbrega, S Clain, GJ Machado, R Loubère, Very high‐order accurate finite volume scheme for the convection‐diffusion equation with general boundary conditions on arbitrary curved boundaries. International Journal for Numerical Methods in Engineering 117 (2), (2019) 188-220. https://doi.org/10.1002/nme.5953
Scimago SRJ: 1.585, rk: 52/522 (Q1-Top10)
ISI web of Sciences IF: 3.477 rk:21/106 (Q1)
[64] C. Reis, J. Figueiredo, S. Clain, R. Omira, M. A. Baptista and J. M. Miranda, Comparison between MUSCL and MOOD techniques in a finite volume well-balanced code to solve SWE. The Tohoku-Oki, 2011 example. Geophysical Journal International, Volume 216, Issue 2, February 2019, Pages 958–983. https://doi.org/10.1093/gji/ggy472
Scimago SRJ: 1.339, rk: 23/117 (Q1)
ISI web of Sciences IF: 2.934 rk: 37/88 (Q2)
[63] Stéphane Clain, Gaspar J. Machado, Raphael Loubère. a posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations. Adv Comput Math (2018) 44:571–607. https://link.springer.com/article/10.1007/s10444-017-9556-6
Scimago SRJ: 0.848 , rk: 37/131 (Q2)
ISI web of Sciences IF: 1.316, rk: 67/255 (Q2)
preprint: https://hal.archives-ouvertes.fr/hal-01418899
[62] Ricardo Costa, Stéphane Clain , Raphaël Loubère , Gaspar J. Machado. High-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection-diffusion equation with Dirichlet condition. Applied Mathematical Modelling 54 (2018) 752–767.
Scimago SRJ: 1.145, rk: 93/459 (Q1)
ISI web of Sciences IF: 2.350, rk: 19/100 (Q1)
preprint: https://hal.archives-ouvertes.fr/hal-01399426
2013-2017
[61] Ricardo Costa, Stéphane Clain, Gaspar J. Machado, R. Loubère. A very-high order accurate staggered finite volume scheme for the stationary incompressible Navier-Stokes and Euler equations on unstructured meshes. Journal of Scientific Computing, 71 (2017), 137--1411. DOI 10.1007/s10915-016-0348-9
Scimago SRJ: 1.748, rk: 9/253 (Q1-Top10)
ISI web of Sciences IF: 1.899, rk:29/255 (Q1)
preprint https://hal.archives-ouvertes.fr/hal-01294244
[60] Filipe Marques, Stéphane Clain, Gaspar Machado, Bruno Martins, Miguel Nóbrega, Olga Carneiro. A New Energy Conservation Scheme for the Numeric Study of the Heat Transfer in Profile Extrusion Calibration. Heat and Mass Transfer (2017) September 2017, Volume 53, Issue 9, pp 2901–2913. DOI 10.1007/s00231-017-2023-6
Scimago SRJ: 0.497, rk: 17/68 (Q2)
ISI web of Sciences IF: 1.233, rk: 82/133 (Q3)
preprint: https://hal.archives-ouvertes.fr/hal-01176796
[59] Ricardo Costa, Stéphane Clain, Gaspar J. Machado. A sixth-order finite volume method for the steady-state incompressible Stokes equations on staggered unstructured mesh. Journal of Computational Physics 349 (2017) 501–527.
http://www.sciencedirect.com/science/article/pii/S0021999117305557?via%3Dihub
Scimago SRJ: 2.034, rk: 24/487 (Q1-Top10)
ISI web of Sciences IF: 2.746, rk: 26/105 (Q1)
preprint https://hal.archives-ouvertes.fr/hal-01294243
[58] V. Michel-Dansac, C. Berthon, S Clain, F. Foucher. A well-balanced scheme for the shallow-water equations with topography or Manning friction. Journal of Computational Physics, Volume 335, 15 (2017), Pages 115–154. http://dx.doi.org/10.1016/j.jcp.2017.01.009
Scimago SRJ: 2.034, rk: 24/487 (Q1-Top10),
ISI web of Sciences IF: 2.746, rk: 26/105 (Q1)
preprint https://hal.archives-ouvertes.fr/hal-01247813
[57] S. Clain, J. Figueiredo. The MOOD method for the non conservative shallow-water system. Computers and Fluids 145 (2017) 99--128. http://dx.doi.org/10.1016/j.compfluid.2016.11.013
Scimago SRJ: 1.022 , rk: 26/415 (Q1-Top10)
ISI web of Sciences IF: 2.313, rk: 32/133 (Q1)
preprint: https://hal.archives-ouvertes.fr/hal-01077557
http://hdl.handle.net/1822/44123
[56] A. Boularas, S. Clain, F. Baudoin. A sixth-order finite volume method for diffusion problem with curved boundaries. Applied Mathematical Modelling 42 (2017) 401--422. http://dx.doi.org/10.1016/j.apm.2016.10.004.
Scimago SRJ: 1.145, rk: 93/459 (Q1)
ISI web of Sciences IF: 2.350, rk: 19/100 (Q1)
preprint https://hal.archives-ouvertes.fr/hal-01052517
[55] W. Bussière, D. Rochette, S. Clain, P. André, J.B. Renard. Pressure drop measurements for woven metal mesh screens used in electrical safety switchgears. International Journal of Heat and Fluid Flow, 65 (2017) 60--72.
Scimago SRJ: 0.991, rk: 7/68 (Q1)
ISI web of Sciences IF: 1.873 , rk: 53/133 (Q2)
[54] D. Lopes, S. Clain, R.M.S. Pereira, G.J. Machado, G. Smirnov, I. Vasilevskiy, H. Costa. Numerical simulation of breast reduction with a new knitting condition. Int. J. Numer. Meth. Biomed. Engng. Volume 33, Issue 2 e02796, (2017), 1-16. DOI: 10.1002/cnm.2796
Scimago SRJ: 1.113, rk: 98/459 (Q1)
ISI web of Sciences IF: 2.192, rk: 12/57 (Q1)
preprint https://hal.archives-ouvertes.fr/hal-01196162
http://hdl.handle.net/1822/43610
[53] X. Nogueira, L. Ramírez, Stéphane Clain, R.Loubère. High-accurate SPH method with Multidimensional Optimal Order Detection limiting. Comput. Methods Appl. Mech. Engrg. 310 (2016) 134–155.
Scimago SRJ: 2.691, rk: 1/66 (Q1-Top10)
ISI web of Sciences IF: 3.467, rk: 6/101 (Q1-Top10)
preprint https://hal.archives-ouvertes.fr/hal-01264053v1
http://hdl.handle.net/1822/43615
[52] Victor Michel-Dansac, Christophe Berthon, Stéphane Clain, Françoise Foucher. A well-balanced scheme for the shallow-water equations with topography. Computers & Mathematics with Applications, 72 (2016) 568--593.
Scimago SRJ: 0.955, rk: 28/131 (Q1)
ISI web of Sciences IF: 1.398, rk: 46/254 (Q1)
preprint https://hal.archives-ouvertes.fr/hal-01201825v1
http://hdl.handle.net/1822/43613
[51] Filipe Marques, Stéphane Clain, Gaspar Machado, Bruno Martins, Miguel Nóbrega, Olga Carneiro. A Novel Heat Transfer Coefficient Identification Methodology for the Profile Extrusion
Calibration Stage. Applied Thermal Engineering 103 (2016) 102–111.
Scimago SRJ: 1.462, rk: 17/368 (Q1-Top10)
ISI web of Sciences IF 3.043, rk: 7/128 (Q1-Top10)
preprint: https://hal.archives-ouvertes.fr/hal-01251310
http://hdl.handle.net/1822/43614
[50] C. Reis, R. Costa, S. Clain, J. Figueiredo, M. A. Baptista, J. M. Miranda. Second-order finite volume with hydrostatic reconstruction for tsunami simulation Journal of Advances in Modeling Earth Systems. vol. 8,, Issue 4, (2016) 1691–1713. DOI: 10.1002/2015MS000603
Scimago SRJ: 4.647, rk: 3/268 (Q1-Top10)
ISI web of Sciences IF: 6.417, rk: 4/84 (Q1-Top10)
preprint https://hal.archives-ouvertes.fr/hal-01239498
http://hdl.handle.net/1822/45009
[49] A. Boularas, . Baudoin, G. Teyssedre, C. Villeneuve-Faure, S. Clain. 3D modelling of electrostatic interaction between AFM probe and dielectric surface: Impact of tip shape and cantilever contribution. IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 23 (2), pp. 705-712, (2016).
Scimago SRJ: 0.585 , rk: 167/568 (Q2)
ISI web of Sciences IF: 1,278, rk: 90/142 (Q2)
http://hdl.handle.net/1822/43612
[48] R. Costa, G. J. Machado, S. Clain. Sixth-order finite volume method for the 1D biharmonic operator: application to the intramedullary nail simulation. Int. J. Appl. Math. Comput. Sci., 2015, Vol. 25, No. 3, 529–537. DOI: 10.1515/amcs-2015-0039
Scimago SRJ: 0.524, rk 209/405 (Q3),
ISI web of Sciences IF:1.037, rk: 83/254 (Q2)
http://hdl.handle.net/1822/39020.
[47] D. Rochette, S. Clain, W. Bussière, J.P. Gonnet. Numerical study of filter impact located in the exhaust duct of a low-voltage circuit breaker. IEEE Transactions on Components, Packaging and Manufacturing Technology, vol 5, No 1 (2015) 49--56. DOI: 10.1109/TCPMT.2014.2375513
Scimago SRJ : 0.541, rk: 186/566 (Q2)
ISI web of Sciences IF: 1.151, rk: 27/42 (Q3)
http://hdl.handle.net/1822/37057
[46] R. Costa, S. Clain, G. J. Machado. New cell-vertex reconstruction for finite volume scheme: application to the convection-diffusion-reaction equation. Computers and Mathematics with Applications 68 (2014) 1229–1249. http://dx.doi.org/10.1016/j.camwa.2014.08.015
Scimago SRJ: 1.113, rk: 26/109 (Q1)
ISI web of Sciences IF: 1.697, rk: 26/256 (Q1)
http://hdl.handle.net/1822/30759
[45] S. Clain, G. Machado. A very high-order finite volume method for the one-dimensional time-dependent convection-diffusion problem. Computers and Mathematics with Applications 68 (2014) 1292–1311. http://dx.doi.org/10.1016/j.camwa.2014.09.001
Scimago SRJ: 1.113, rk: 26/109 (Q1)
ISI web of Sciences IF: 1.697, rk:26/256 (Q1)
http://hdl.handle.net/1822/30783
[44] A. Boularas, F. Baudoin, C. Villeneuve-Faure, S. Clain, G. Teyssedre. Multi-dimensional modelling of electrostatic force distance curve over dielectric surface: influence of tip geometry and correlation with experiment. J. Appl. Phys. 116, 084106 (2014). http://dx.doi.org/10.1063/1.4894147
Scimago SRJ: 1.005, rk: 44/233 (Q1)
ISI web of Sciences IF: 2.183, rk: 42/142 (Q2)
http://hdl.handle.net/1822/27450
[43] D. Rochette, S. Clain, R. Touzani. Voltage excitation in coil rings using magnetically coupled inductor/load for axisymmetric geometry. IEEE Transactions on Power Delivery, 29(1), (2014) 118--125. DOI:10.1109/TPWRD.2013.2279920
Scimago SRJ: 1.726, rk: 7/143 (Q1-Top10)
ISI web of Sciences IF: 1.733, rk: 84/249 (Q2)
2010-2013
[42] S. Diot, R. Loubère, S. Clain. The MOOD method in the three-dimensional case: Very-High-Order Finite Volume Method for Hyperbolic Systems. International Journal for Numerical Methods in Fluids, 73(4), (2013) 362--392. DOI:10.1002/fld.3804
Scimago SRJ: 0.754, rk: 169/398 (Q2)
ISI web of Sciences IF: 1.329, rk:32/95 (Q2)
http://hdl.handle.net/1822/26404
[41] S. Clain, G. Machado, J. M. Nóbrega, R. Pereira. A sixth-order finite volume method for multidomain convection-diffusion problem with discontinuous coefficients. Computer Methods in Applied Mechanics and Engineering, 267, (2013), 43-64. DOI:10.1016/j.cma.2013.08.003
Scimago SRJ: 3.095, rk 8/470 (Q1-Top10)
ISI web of Sciences IF:2.626, rk: 6/95 (Q1-Top10)
http://hdl.handle.net/1822/26039
[40] S. Clain. Finite Volume Maximum Principle for Hyperbolic scalar problems. SIAM J. Numer. Anal., 51(1), (2013) 467–490.
Scimago SRJ: 2.267, rk: 4/40 (Q1-Top10
ISI web of Sciences IF: 1.690, rk: 27/251 (Q1)
http://hdl.handle.net/1822/26041
[39] S. Clain, M. Djenno Ngomanda. The half-planes problem for the level set equation. International Journal of Numerical Analysis & Modeling, 10 (2013) 99--115.
Scimago SRJ 0.640 rk 20/40 (Q2),
ISI web of Sciences IF:0.673, rk: 148/251 (Q3)
http://hdl.handle.net/1822/26402
[38] F. Baudoin, D. H. Mills, P. L. Lewin, S. Le Roy, G. Teyssedre, C. Laurent and S. Clain. Modelling transient effects in AC electroluminescence of insulating polymers due to voltage
offset or pre-stressing. J. Phys. D: Appl. Phys. 45 (2012) 325303. doi:10.1088/0022-3727/45/32/325303
Scimago SRJ: 1.244, rk: 24/168 (Q1)
ISI web of Sciences IF: 2,528, rk: 25/128 (Q1)
Minho University link: http://hdl.handle.net/1822/20739
[37] S. Diot, S. Clain, R. Loubère. Improved detection criteria for the Multi-dimensional Optimal Order Detection (MOOD) on unstructured meshes with very high-order polynomials. Computers & Fluids 64 (2012) 43–63. doi:10.1016/j.compfluid.2012.05.004
Scimago SRJ: 1.135, rk: 17/207 (Q1-Top10)
ISI web of Sciences IF: 1.467, rk: 44/100 (Q2)
Minho University link: http://hdl.handle.net/1822/19889
[36] D. Rochette, S. Clain, W. Bussière. Unsteady compressible flow in ducts with varying cross-section: comparison between the nonconservative Euler system and the axisymmetric flow model. Computers & Fluids 53 (2012) 53-78. doi:10.1016/j.compfluid.2011.09.004
Scimago SRJ: 1.135, rk: 17/207 (Q1-Top10)
ISI web of Sciences IF: 1.467, rk: 44/100 (Q2)
Minho University link: http://hdl.handle.net/1822/14346
[35] S. Clain, S. Diot, R. Loubère. A high-order polynomial finite volume method for hyperbolic system of conservation laws with Multi-dimensional Optimal Order Detection (MOOD). Journal of computational Physics, Volume 230 (2011) 4028-4050.
Scimago SRJ: 2.106, rk: 13/445 (Q1-Top10)
ISI web of Sciences IF: 2.310, rk: 5/55 (Q1-Top10)
Minho University link: http://hdl.handle.net/1822/12194
[34] D. Rochette, S. Clain, F. Gentils, J. Wild, W. Bussière. Numerical simulation of the porous filter properties for the internal arc mollifying effects. Electric Power Systems Research 81 (2011) 66-73.
Scimago SRJ: 0.942, rk: 26/136 (Q1)
ISI web of Sciences IF: 1.478, rk: 82/245 (Q2)
Minho University link: http://hdl.handle.net/1822/12192
[33] A. Lefort, M. Abbaoui and S. Clain. Cathode spot emergence on copper and chromium alloy used in vacuum breakers. High Temperature Material Processes Vol 14, Issue 3, (2010), p.271-284. 10.1615/HighTempMatProc.v14.i3.60
Scimago SRJ: 0.192, rk: 263/379 (Q3)
Minho University link: http://hdl.handle.net/1822/12193
[32] D. Rochette, S. Clain, W. Bussière, C. Besnard. Porous filter optimization to improve the safety of the medium voltage electrical installations during an internal arc fault. IEEE Transactions on Power Delivery, Volume 25, issue 4 (2010) 2464-2471. doi: 10.1109/TPWRD.2010.2050606
Scimago SRJ: 1.172, rk: 61/490 (Q1)
ISI web of Sciences IF: 1.353, rk: 95/245 (Q2)
Minho University link: http://hdl.handle.net/1822/12191
[31] S. Clain, D. Rochette, R. Touzani. Multislope MUSCL method for unstructured meshes applied to the compressible axisymmetric Euler equations for swirling flows. Journal of Computational Physics Volume 229, Issue 13, 1 July 2010, Pages 4884-4906. doi:10.1016/j.jcp.2010.03.004
Scimago SRJ: 2.185, rk 12/421 (Q1-Top10)
ISI web of Sciences IF: 2.346, rk: 5/54 (Q1-Top10)
Minho University link: http://hdl.handle.net/1822/12211
[30] 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. Application to Mars and Titan atmospheres. Eur. Phys. J. D, Volume 57 (2010) 227-234. doi: 10.1140/epjd/e2010-00036-5
Scimago SRJ: 0.817, rk: 41/132 (Q2)
ISI web of Sciences IF: 1.513, rk: 33/80 (Q2)
Minho University link: http://hdl.handle.net/1822/12375.
[29] T. Buffard, S. Clain. Monoslope and multislope MUSCL methods for unstructured meshes. Journal of Comptutational Physics, 229 (2010) 3745-3776. doi:10.1016/j.jcp.2010.01.026
Scimago SRJ 2.185, rk 12/421 (Q1-Top10)
ISI web of Sciences IF: 2.346, rk: 5/54 (Q1-Top10)
Minho University link: http://hdl.handle.net/1822/11976
[28] S. Clain, V. Clauzon. $L^\infty$ stability of the MUSCL methods. Numerische Mathematik, Volume 116, Issue 1 (2010) 31-64. doi:10.1007/s00211-010-0299-2
Scimago SRJ 1.996, rk: 26/363 (Q1-Top10)
ISI web of Sciences IF: 1.388, rk: 42/236 (Q1)
Minho University link: http://hdl.handle.net/1822/11975
2006-2009
[27] S. Clain, D. Rochette. First and Second order finite volume methods for non conservative Euler system. Journal of computational Physics, 228 (2009) 8214-8248. doi:10.1016/j.jcp.2009.07.038
Scimago SRJ 2.439, rk: 9/388 (Q1-Top10)
ISI web of Sciences IF: 2.368, rk: 6/47 (Q1)
[26] F. Bouchon, S. Clain, R. Touzani. A perturbation method for the numerical solution of the Bernoulli problem. Journal of Computational Mathematics, Vol. 26, No 1, 23-36 (2008).
Scimago SRJ 0.413, rk: 55/77 (Q3)
ISI web of Sciences IF: 0.765, rk: 93/175 (Q3)
http://www.global-sci.org/jcm/
[25] D. Rochette, S. Clain, F. Gentils. Numerical investigations on the pressure wave and the gas cooling interacting with a porous filter, during an internal arc fault in medium voltage cells.
IEEE Transaction on Power Delivery, Vol. 23, No 1, 203-212 (Jan. 2008). DOI: 10.1109/TPWRD.2007.911104
Scimago SRJ 1.120, rk: 78/457 (Q1)
ISI web of Sciences IF:1.285, rk: 93/229 (Q2)
We have received the PES-IEEE Prize Paper Award 2010 for the paper.
[24] D. Rochette, S. Clain, F. Gentils, P André, W. Bussière. Two-dimensional modelling of internal arc effetcs in a enclosed MV cell provinded with a protection porous filter. J. Phys. D: Appl. Phys., Vol. 40, No 10, 3137-3144 (2007). DOI: 10.1088/0022-3727/40/10/017
Scimago SRJ 1.385, rk: 8/81 (Q1-Top10)
ISI web of Sciences IF: 2.22, rk: 15/94 (Q1)
[23] S. Boulay, C. Colin, A. Trentesaux, S. Clain, Z. Liud and C. Lauer-Lereddee. Sedimentary responses to the Pleistocene climatic variations recorded in the South China Sea. Quaternary research, Vol. 68, 162-172 (2007). DOI: 10.1016/j.yqres.2007.03.004
Scimago SRJ 1.895, rk: 10/195 (Q1-Top10)
ISI web of Sciences IF: 2.224, rk: 7/31 (Q1)
[22] D. Rochette, S. Clain. Two dimensional computation of gas flow in a porous bed characterized by a porosity jump. Journal of Computational Physics, Vol. 219, issue 1, 104-119 (2006). doi:10.1016/j.jcp.2006.03.013
Scimago SRJ 2.377, rk: 11/325 (Q1-Top10)
ISI web of Sciences IF: 2.328, rk: 3/41 (Q1-Top10)
[21] M. Abbaoui, A. Lefort, S. Clain. A theoritical evolution analysis of the different anode and cathode electric arc materials, an International Quarterly of High-Technology Plasma Processes. High Temp. Mat. Proc., Vol. 10, No 1, 1-24 (2006).
Scimago SRJ 0.319, rk: 167/319 (Q2)
http://www.begellhouse.com/journals/57d172397126f956,6879d9fc1413e975.html
2002-2005
[20] D. Rochette, S. Clain. Local heat transfer of compressible fluid in porous media: application to the HBC fuse. International Journal of Heat and Fluid flow No 26, pp 322-333 (2005). DOI: 10.1016/j.ijheatfluidflow.2004.09.001
Scimago Q1, SRJ 1.882,
ISI web of Sciences IF: 1.085, rk: 9/41 (Q1)
[19] S. Clain, F. Dupret. Capillatity-Dissolution system for a two-dimensional geometry. Journal of Colloid and Interface Science, No 292, pp 517-536 (2005). DOI: 10.1016/j.jcis.2005.05.097
Scimago SRJ 1.00 rk: 4/13 (Q1)
ISI web of Sciences IF: 2.023, rk: 43/111(Q1)
[18] F. Bouchon, S. Clain, R. Touzani. Numerical solution of the Bernoulli problem using a level set formulation. Computer methods in applied mechanics and engineering, vol. 194 , no 36-38, pp. 3934 -3948 (2005).
Scimago SRJ 2.200 rk 12/338 (Q1-Top10)
ISI web of Sciences IF: 1.553, rk: 5/65
http://www.sciencedirect.com/science/journal/00457825
[17] D. Rochette, S. Clain, T. Buffard. Numerical scheme to compute a compressible gas flow in variable porous media. International Journal of Computational Fluid Dynamics, Vol. 19, No 4, 299-309 (2005). DOI: 10.1080/10618560500162702
Scimago SRJ 0.52 13/27 (Q2)
ISI web of Sciences IF: 0.434, rk: 85/110 (Q4)
[16] M. Abbaoui, A. Lefort, S. Clain, J. Rossignol. A comparative study of the behaviour of silver, copper and nickel submitted to a constant high power flux density. European Physical Journal: D Applied Physics (EPJ AP),vol. 31 , no 1 , pp. 45 - 51 (2005). DOI: 10.1051/epjap:2005039
Scimago SRJ 0.971 rk: 27/121 (Q1)
ISI web of Sciences IF: 1.515, rk: 16/31 (Q3)
[15] S. Clain. Chemical Attack Simulation for Two Dimensional Geometries with the Level Set Method. Computational Materials Science Vol 29, p. 76-88, (2004). DOI: 10.1016/S0927-0256(03)00097-1
Scimago SRJ 0.95 rk:22/69 (Q2)
ISI web of Sciences IF: 1.424 rk: 51/171 (Q2)
[14] D. Rochette, S. Clain. Mathematical model and simulation of gas flow through a porous medium in high breaking capacity fuses. International Journal of Heat and Fluid Flow, Vol. 25, p. 115-126, (2004). DOI: 10.1016/j.ijheatfluidflow.2003.09.001
Scimago SRJ 1.111 50/430 (Q1)
ISI web of Sciences IF: 0.988, rk: 7/42 (Q1)
[13] D. Rochette, S. Clain. Numerical simulation of an abrupt pressure impact in a HBC fuse: comparison between Darcy and non-Darcy model. Transport in Porous Media Vol 53, p. 25-37, (2003).
Scimago Q1, SRJ 0.861 rk: 38/265 (Q1)
ISI web of Sciences IF: 0.848, rk: 40/119 (Q2)
http://www.springerlink.com/content/100342/
[12] J. Rossignol, S. Clain, M. Abbaoui. The modelling of the cathod sheat of an electrical arc in vacuum. Journal of Physics D: Applied Physics, No 36, p. 1495-1503 (2003).
Scimago SRJ 0.912 rk: 22/85 (Q1)
ISI web of Sciences IF: 1.265, rk: 26/76 (Q2)
http://www.iop.org/EJ/0022-3727
1998-2001
[11] S. Clain, J. F. Rodrigues. Local Classical Solutions for a Chemical System with Free Boundary. Differential and Integral Equations, Vol 13, pp. 903-920 (2000).
Scimago Q2, SRJ 0.81, (2010).
ISI web of Sciences IF: 0.565, rk: 209/255 (2010)
http://www.aftabi.com/DIE/die13.html
[10] J. Rossignol, M. Abbaoui, S. Clain S. Numerical Modeling of Thermal Ablation Phenomena Due to Cathodic Spot,Journal of Physics D: Applied Physics, No 33, p. 2079-2086 (2000).
Scimago Q1, SRJ 0.81,
ISI web of Sciences IF: 1.179, rk: 21/70
http://www.iop.org/EJ/0022-3727
[09] S. Clain. Chemical attack in free boundary Domains. Journal of Applied Analysis, Vol. 5, No. 1, pp 35-58 (1999).
Scimago Q3, SRJ 0.312
http://www.emis.de/journals/JAA/
1993-1997
[08] S. Clain, R. Touzani. Solution For a Two-Dimensional Stationary Induction Heating Problem Without Bounding Conditions on the Physicals Proprieties. Mathematical Modelling and Numerical Analysis, Vol. 31, No 7, p. 845-870 (1997).
Scimago Q1, SRJ 1.069 (1999),
ISI web of Sciences IF: 0.246, rk: 37/255 (2001)
http://www.numdam.org/numdam-bin/feuilleter?j=M2AN&sl=0
[07] S. Clain. Elliptic Operators of divergence type with Holder Coefficients in Fractional Sobolev Spaces. Rendiconti di Matematica, Serie VII, Vol 17 p. 207-236, (1997).
referenced in zbMath and Mathscinet
http://www.mat.uniroma1.it/%7Erendicon/
[06] C. Chaboudez, S. Clain, R. Glardon, J. Rappaz, M. Swierkosz. Numerical Modelling in Induction Heating for Axisymmetric Geometries. IEEE Trans. Mag., Vol 33 No 1 (1997), p. 739-745.
Refereed in Scimago and ISI Web of knowledge
http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=20
[05] S. Clain, R. Touzani. A Two-Dimensional Stationary Induction Heating Problem. Math. Meth. in the Applied Science, Vol. 20, p. 759-766 (1997).
Refereed in Scimago and ISI Web of knowledge
http://www3.interscience.wiley.com/journal/2197/home
[04] S. Clain. Finite Element Approximations for the Laplace Operator with a Right-hand side Measure. Mathematical Models and Methods in Applied Sciences vol 6, No 5, (1996).
Refereed in Scimago and ISI Web of knowledge
http://www.worldscinet.com/m3as/m3as.shtml
[03] C. Chaboudez, S. Clain, R. Glardon, J. Rappaz, M. Swierkosz, R. Touzani. Numerical Modelling in Induction Heating of Long Workpieces. IEEE Transactions on Magnetics, vol. 30, No 6, p. 5028-5037 (1994).
Refereed in Scimago and ISI Web of knowledge
http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=20
[02] S. Clain, J. Rappaz, M. Swierkosz. Coupling between nonlinear Maxwell and heat equations for an induction heating problem: modelling and numerical methods. Finite Element Methods: Fifty Years of the Courant Element, lecture notes in pure and applied mathematics, vol. 164, p. 163-171 (1994).
http://www.informaworld.com/smpp/title~content=t755758731
[01] S. Clain, J. Rappaz, M. Swierkosz, R. Touzani. Numerical modelling of induction heating for two-dimensional geometries. Mathematical Models and Methods in Applied Sciences vol 3, No 6, p. 905-822 (1993).
Refereed in Scimago and ISI Web of knowledge
Proceedings
[35] I Estévez, F Oliveira, M Oliveira, RM Pereira, N Romanyshyn, S Clain, GV Smirnov, L Rebouta, MI Vasilevskiy. Artificial intelligence assisted polarimetriy for material's discrimination and characteriszation. Proceedings of the International conferencein materials science of electronic components ICM3SEC–2021 October 25–27, 2021 Moscow, pp 7-- 10. https://doi.org/10.29003/m2456.ММMSEC-2021/8-10
[34] Diogo Lopes, Rui M. S. Pereira, Stephane Clain, HIGH PERFORMANCE COMPUTATION WITH ADI ON CARTESIAN GRID TO SOLVE THE STEADY STATE 2D CONVECTION DIFFUSION EQUATION. SYMCOMP 2019 Porto, 11-12 April 2019 ECCOMAS, Portugal. http://repositorium.sdum.uminho.pt/handle/1822/60272
[33] D. Lopes, S. Clain, G. Smirnov, Breast simulation application in real-life cases. 7º congresso nacional de biomecânica, 10 e 11 de fevereiro de 2017, Guimarães, Portugal
[32] L. Ramı́reza , X. Nogueiraa , S. Clainb , R. Loubèrec , A. Eirı́sd , L. Cueto-Felguerosoe , I. Colominasa. A high-accurate SPH-ALE MOOD method. 12th international SPHERIC workshop, Ourense, Spain, June 13-15, 2017
[31] Cláudia Reis, Jorge Figueiredo, Stéphane Clain, Rachid Omira, Maria Ana Baptist, Jorge Miranda, MUSCL VS MOOD TECHNIQUES TO SOLVE THE SWE IN THE FRAMEWORK OF TSUNAMI EVENTS. SYMCOMP 2017, Guimarães, 6-7 April 2017 ©ECCOMAS, Portugal
[30] P. Salgueiro, S. Abreu, J. ́ Rolo, S. Clain, An Interactive Web-Based Tool for Breast Reduction Surgery Simulation, IEEE Symposium on 3D User Interfaces 2015, 23 - 24 March, Arles, France. http://hdl.handle.net/1822/39773.
[29] S. Clain, J. Figueiredo, R. Loubère, S. Diot, An overview on the Multidimensional Optimal Order Detection method, SYMCOMP 2015, Faro, March 26-27, 2015 ECCOMAS, Portugal, pp. 69-87. http://hdl.handle.net/1822/36933
[28] G.J. Machado, S. Clain, R. Loubère and S. Diot, 6th-Order finite volume approximation for the steady-state Burger and Euler equations: the MOOD approach, SYMCOMP 2015, Faro, March 26-27, 2015, ECCOMAS, Portugal, pp. 347-363. http://hdl.handle.net/1822/34870
[27] J. Figueiredo, S. Clain, Second-order finite volume MOOD method for the shallow water with dry/wet interface. SYMCOMP 2015, Faro, March 26-27, 2015, ECCOMAS, Portugal, pp. 191-205. http://hdl.handle.net/1822/36932
[26] R. Costa, G.J. Machado, S. Clain, 6th-order finite volume approximation for the stokes equations with a curved boundary. SYMCOMP 2015, Faro, March 26-27, 2015, ECCOMAS, Portugal, pp. 365-382. http://hdl.handle.net/1822/35092
[25] S. Clain and J. Rodrigues, Numerical simulation of electrical problems in a vacuum disjuntor, SYMCOMP 2015, Faro, March 26-27, 2015, ECCOMAS, Portugal, pp.485-501. http://hdl.handle.net/1822/37055
[24] R. Costa, S. Clain, G. J. Machado, Finite volume scheme based on cell-vertex reconstructions for anisotropic diffusion problems with discontinuous coefficients. Springer International Publishing Switzerland 2014,B. Murgante et al. (Eds.): ICCSA 2014, Part I, LNCS 8579, pp. 87–102, 2014. http://hdl.handle.net/1822/30273
[23] S. Clain, G. J. Machado, R. M. S. Pereira, G. Smirnov, Soft tissue modelling for analysis of errors in breast reduction surgery 11th World Congress on Computational Mechanics (WCCM XI), 5th European Conference on Computational Mechanics (ECCMV), 6th European Conference on Computational Fluid Dynamics (ECFD VI), E. Oñate, J. Oliver and A. Huerta (Eds) Barcelona 20-25 july (2014). http://hdl.handle.net/1822/30271
[22] A. Boularas , F. Baudoin , G. Teyssedre , C. Villeneuve-Faure , S. Clain, 3D modelling of electrostatic force distance curve between the AFM probe and dielectric surface. 9 ème conférence de la Société Française d’Electrostatique, 27-29 août 2014, Toulouse, France. http://hdl.handle.net/1822/32351
[21] R. Costa, S. Clain e G.J. Machado, “Finite Volume Scheme Based on Cell-Vertex Reconstructions for Anisotropic Diffusion Problems with Discontinuous Coefficients”, 14th International Conference in Computational Science and Its Applications – ICCSA 2014, Guimarães, Portugal, 30 de junho a 3 de julho de 2014, Lecture Notes in Computer Science, 8579 (2014), 87-102. RepositoriUM: http://hdl.handle.net/1822/30273. http://hdl.handle.net/1822/30273.
2010-2013
[20] A. Boularas, F. Baudoin, G. Teyssedre, C. Villeneuve-Faure, S. Clain, Multi-dimnesional modelling of electrotatic forces between atomic force microscopy tip and dielectric surface, International Conference on Soldi Dilectric, Bologna, Italy, july 2013 IEEE, pp. 1040--1044. http://hdl.handle.net/1822/27450
[19] F. Marques, S. Clain, R. M. S. Pereira, A new Finite volume scheme for incompressible fluid flow, SYMCOMP 2013 Lisbon Portugal, 9-10 September 2013 ECCOMAS, pp. 197--205. http://hdl.handle.net/1822/25227
[18] R. Costa, S. Clain, and G.J. Machado, Bending of a beam with finite volume schemes, SYMCOMP 2013 Lisbon Portugal, 9-10 September 2013 ECCOMAS, pp. 207--218. http://hdl.handle.net/1822/27452
[17] S. Clain, G. J. Machado, Very high-order time scheme for finite volume method,. SYMCOMP 2013 Lisbon Portugal, 9-10 September 2013 ECCOMAS, pp. 219--227. http://hdl.handle.net/1822/27451
[16] S. Clain, G. Machado, R. Pereira, Very high-order finite volume scheme for 1D convection diffusion problem: the implicit case, published in proceeding YIC2012 Conference (2012). http://yic2012.web.ua.pt/Welcome.html. Minho University link: http://hdl.handle.net/1822/19967. preprint at http://hal.archives-ouvertes.fr/hal-00675736.
[17] S. Clain, S. Diot, R. Loubère, Three-dimensional preliminary results of the MOOD method: A Very High-Order Finite Volume method for Conservation Laws. published in proceeding YIC2012 Conference (2012). http://yic2012.web.ua.pt/Welcome.html. Minho University link: http://hdl.handle.net/1822/19968- preprint available at http://hal.archives-ouvertes.fr/hal-00658481/fr/
[16] S. Clain, J. Figueiredo, C. Ribeiro, A finite volume scheme for the shallow-water system with the polynomial reconstruction operator, published in proceeding CSEI2012 – Conferência Nacional sobre Computação Simbólica no Ensino e na Investigação Lisboa, 2-3 Abril (2012). Minho University link http://hdl.handle.net/1822/19892. http://www.csei2012.com/ preprint at http://hal.archives-ouvertes.fr/hal-00675745.
[15] S. Clain, G. Machado, R. Pereira, A finite volume scheme for the convection-diffusion system using the the polynomial reconstruction operator, published in proceeding CSEI2012 – Conferência Nacional sobre Computação Simbólica no Ensino e na Investigação Lisboa, 2-3 Abril (2012). Minho University link http://hdl.handle.net/1822/19891 http://www.csei2012.com/ preprint at http://hal.archives-ouvertes.fr/hal-00675740.
[14] S. Clain, G. Machado, R. Pereira, A new very high-order finite volume method for the 2D convection diffusion problem on unstructured meshes published in proceeding of MEFTE 2012 , IV conferência nacional em Mecânica dos Fluidos, Termodinâmica e energia (10 pages), Lisbon 28-29/05/2012 (2012). Extended abstract p. 79-80- Minho University link http://hdl.handle.net/1822/19890 http://mefte2012.lnec.pt/ preprint at http://hal.archives-ouvertes.fr/hal-00675743.
[13] S. Clain, G. Machado, R. Pereira, R. Ralha, S. Diot, R. Loubère, Very high-order finite volume method for one-dimensional convection diffusion problems. WSEA International conference in Puerto De La Cruz, Tenerife, Spain, December (2011) . Minho University link: http://hdl.handle.net/1822/15897.
[12] S. Clain, S. Diot, R. Loubère, Multi-dimensional Optimal Order Detection (MOOD). A very high-order Finite Volume Scheme for conservation laws on unstructured meshes. Proceedings of the FVCA6 congress (2011) 263--271. Minho University link: http://hdl.handle.net/1822/14641
[11] S. Clain, J. A. Rodrigues, Simulação numéirica do comportamento mecânico num disjunctor de vácuo,Proceedings in CIBEM 10, Oporto, (2011) p. 301--306. Minho University link: http://hdl.handle.net/1822/14168
[10] S. Clain, J. A. Rodrigues, Numerical simulations of coupled problems in a vacumm disjuntor, Proceeding in Congresso de Métodos Numéricos em Engenharia 2011, Coimbra, APMTAC (2011) p. 1--12. Minho University link: http://hdl.handle.net/1822/14123
[09] S. Clain, D. Rochette, R. Touzani, M. Lino da Silva, D. Vacher, P. André, A contribution on the numerical simulation of ICP torches, proceeding of the Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD Lisbon (june 2010) 2006-2009
[08] P. André, S. Clain, M. Dudeck, B. Izrar, D. Rochette, R. Touzani, D. Vacher, First step in Theoretical approach in study of Mars and Titan atmospheres with an Inductively Coupled Plasma Torch, Proccedings of the 3nd international workshop, ESA-SP667 (2009). http://www.esa.int/esapub/pi/proceedingsPI.htm
[07] S. Clain, V. Clauzon, The multi-slopes MUSCL method, Proceeding in the Finite Volumes for Complex Application 5, Wiley Editor, 297-304 (2008). http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1848210353.html
[06] D. Rochette, S. Clain, F. Gentils, Numerical simulation of a pressure wave interacting with a porous filter during an internal arc fault in a medium voltage cell, The 8th International Conference on Applied and Theoretical Electricity, ICATE 2006. http://elth.ucv.ro/icate06/
---- -2005
[05] D.Rochette, S. Clain, S. Gentils, F. Giraud, Mathematical model to simulate the properties of the porous energy absorber in medium-voltage apparatus, in Proceeding of the 5th Electro-hydrodynamic international workshop de poitiers (2004). http://uptv.univ-poitiers.fr/web/canal/61/theme/25/manif/84/index.html
[04] M. Abbaoui, A. Lefort, S. Clain, Influence of the Material Nature (Ag, Cu, Al, Fe, W, C) on the Arc Root Characteristics at the Cathode, in Proceeding of the XXIst ISDEIV Symposium (2004). http://ieeexplore.ieee.org/xpl/RecentCon.jsp?punumber=9718
[03] S. Clain, A simple level set numerical scheme for unstructured meshes. Proceeding in the Third International Symposium on Finite Volumes for Complex Applications, Hermes editor (2002). http://eu.wiley.com/WileyCDA/
[02] Lefort A, Rossignol J., Abbaoui M., Clain S., Theoretical Elements about Cathod Arc Root, Proceedings of the XIXth International Symposium on discharge and Electrical Insulation In Vacuum, Vol. 1, p. 160-167 (2000). http://ieeexplore.ieee.org/xpl/RecentCon.jsp?punumber=7054
[01] S. Clain, Mathematical Model of the Micro-Tips Erosion with an Acid, FBP News No 13 p. 4, May (1997). http://newsletter.fbpnews.org/newslett/fbp-13/index.html