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## Mieussens, Luc

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 Author ID: mieussens.luc Published as: Mieussens, L.; Mieussens, Luc
 Documents Indexed: 41 Publications since 1998
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#### Co-Authors

 6 single-authored 6 Degond, Pierre 6 Lemou, Mohammed 6 Mathiaud, Julien 4 Baranger, Céline 4 Dimarco, Giacomo 3 Aoki, Kazuo 3 Charrier, Pierre 3 Dubroca, Bruno 2 Bennoune, Mounir 2 Brull, Stephane 2 Hérouard, N. 2 Liu, Jianguo 2 Rispoli, Vittorio 2 Struchtrup, Henning 2 Veron, Fabrice 1 Bourgade, Jean-Pierre 1 Claudel, Jean 1 Dauvois, Y. 1 Dechristé, Guillaume 1 Feugeas, Jean-Luc 1 Gallice, Gérard 1 Hattori, Masanari 1 Jeanmasson, G. 1 Jin, Shi 1 Kosuge, Shingo 1 Marois, G. 1 Martalò, Giorgio 1 Mary, Ivan 1 Mathe, Johan 1 Mellet, Antoine 1 Peluchon, S. 1 Takata, Shigeru 1 Turpault, Rodolphe 1 Yoshida, Hiroaki
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#### Serials

 12 Journal of Computational Physics 4 Journal of Statistical Physics 2 Journal of Fluid Mechanics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Scientific Computing 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Multiscale Modeling & Simulation 1 Computers & Mathematics with Applications 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Mathematical and Computer Modelling 1 Continuum Mechanics and Thermodynamics 1 Physics of Fluids 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 European Journal of Mechanics. B. Fluids 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Communications in Computational Physics 1 Kinetic and Related Models
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#### Fields

 34 Fluid mechanics (76-XX) 28 Statistical mechanics, structure of matter (82-XX) 15 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Geophysics (86-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

35 Publications have been cited 616 times in 355 Documents Cited by Year
Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries. Zbl 0984.76070
Mieussens, Luc
2000
A new asymptotic preserving scheme based on micro-macro formulation for linear kinetic equations in the diffusion limit. Zbl 1187.82110
Lemou, Mohammed; Mieussens, Luc
2008
Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics. Zbl 1317.76058
Bennoune, Mounir; Lemou, Mohammed; Mieussens, Luc
2008
Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics. Zbl 1174.82329
Mieussens, Luc
2000
Numerical comparison of Bhatnagar-Gross-Krook models with proper Prandtl number. Zbl 1186.76372
Mieussens, Luc; Struchtrup, Henning
2004
A smooth transition model between kinetic and hydrodynamic equations. Zbl 1138.82324
Degond, Pierre; Jin, Shi; Mieussens, Luc
2005
Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics. Zbl 1078.82526
Mieussens, Luc
2000
Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit. Zbl 1220.65116
Liu, Jian-Guo; Mieussens, Luc
2010
A multiscale kinetic-fluid solver with dynamic localization of kinetic effects. Zbl 1346.82035
Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc
2010
On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models. Zbl 1349.76787
Mieussens, Luc
2013
Locally refined discrete velocity grids for stationary rarefied flow simulations. Zbl 1349.76586
Baranger, C.; Claudel, J.; Hérouard, N.; Mieussens, L.
2014
A moving interface method for dynamic kinetic-fluid coupling. Zbl 1388.76335
Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc
2007
Macroscopic fluid models with localized kinetic upscaling effects. Zbl 1147.82331
Degond, Pierre; Liu, Jian-Guo; Mieussens, Luc
2006
Convergence of a discrete-velocity model for the Boltzmann-BGK equation. Zbl 0980.82027
Mieussens, L.
2001
Implicit schemes for the Fokker–Planck–Landau equation. Zbl 1096.82015
Lemou, Mohammed; Mieussens, Luc
2005
Local discrete velocity grids for deterministic rarefied flow simulations. Zbl 1362.76054
Brull, S.; Mieussens, L.
2014
An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas. Zbl 1351.76101
Dimarco, Giacomo; Mieussens, Luc; Rispoli, Vittorio
2014
Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow, and pumping effect. Zbl 1364.76168
Aoki, Kazuo; Degond, Pierre; Mieussens, Luc
2009
A Fokker-Planck model of the Boltzmann equation with correct Prandtl number. Zbl 1334.35352
Mathiaud, J.; Mieussens, L.
2016
A Cartesian cut cell method for rarefied flow simulations around moving obstacles. Zbl 1349.76783
Dechristé, G.; Mieussens, L.
2016
A conservative and entropic discrete-velocity model for rarefied polyatomic gases. Zbl 1036.82010
Dubroca, Bruno; Mieussens, Luc
2001
Discrete-velocity models for kinetic nonequilibrium flows. Zbl 0917.35101
Charrier, Pierre; Dubroca, Bruno; Feugeas, Jean-Luc; Mieussens, Luc
1998
A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases. Zbl 1373.82059
Mathiaud, Julien; Mieussens, Luc
2017
An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit. Zbl 1234.76041
Bennoune, Mounir; Lemou, Mohammed; Mieussens, Luc
2009
Fast implicit schemes for the Fokker-Planck-Landau equation. Zbl 1081.82022
Lemou, Mohammed; Mieussens, Luc
2004
Convergence of a discrete-velocity model for the Boltzmann-BGK equation. Zbl 0933.82034
Mieussens, Luc
1999
A BGK model for high temperature rarefied gas flows. Zbl 07167118
Baranger, C.; Dauvois, Y.; Marois, G.; Mathé, J.; Mathiaud, J.; Mieussens, L.
2020
A robust implicit-explicit acoustic-transport splitting scheme for two-phase flows. Zbl 1375.76197
Peluchon, S.; Gallice, G.; Mieussens, L.
2017
Gas-surface interaction and boundary conditions for the Boltzmann equation. Zbl 1304.82062
Brull, Stéphane; Charrier, Pierre; Mieussens, Luc
2014
A diffusion model for rarefied flows in curved channels. Zbl 1149.76045
Aoki, K.; Degond, P.; Mieussens, L.; Takata, S.; Yoshida, H.
2008
Time implicit schemes and fast approximations of the Fokker-Planck-Landau equation. Zbl 1148.82024
Lemou, Mohammed; Mieussens, Luc
2007
Discrete-velocity models for numerical simulations in transitional regime for rarefied flows and radiative transfer. Zbl 1116.82306
Charrier, Pierre; Dubroca, Bruno; Mieussens, Luc; Turpault, Rodolphe
2004
A smooth transition approach between the Vlasov-Poisson and the Euler-Poisson system. Zbl 1443.76250
Dimarco, Giacomo; Mieussens, Luc; Rispoli, Vittorio
2014
Numerical comparison between two spherical harmonics expansion models and a kinetic equation. Zbl 1159.82318
Bourgade, J. P.; Mellet, A.; Mieussens, L.
2004
Numerical solutions for the BGK-model with velocity-dependent collision frequency. Zbl 1081.76051
Mieussens, Luc; Struchtrup, Henning
2003
A BGK model for high temperature rarefied gas flows. Zbl 07167118
Baranger, C.; Dauvois, Y.; Marois, G.; Mathé, J.; Mathiaud, J.; Mieussens, L.
2020
A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases. Zbl 1373.82059
Mathiaud, Julien; Mieussens, Luc
2017
A robust implicit-explicit acoustic-transport splitting scheme for two-phase flows. Zbl 1375.76197
Peluchon, S.; Gallice, G.; Mieussens, L.
2017
A Fokker-Planck model of the Boltzmann equation with correct Prandtl number. Zbl 1334.35352
Mathiaud, J.; Mieussens, L.
2016
A Cartesian cut cell method for rarefied flow simulations around moving obstacles. Zbl 1349.76783
Dechristé, G.; Mieussens, L.
2016
Locally refined discrete velocity grids for stationary rarefied flow simulations. Zbl 1349.76586
Baranger, C.; Claudel, J.; Hérouard, N.; Mieussens, L.
2014
Local discrete velocity grids for deterministic rarefied flow simulations. Zbl 1362.76054
Brull, S.; Mieussens, L.
2014
An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas. Zbl 1351.76101
Dimarco, Giacomo; Mieussens, Luc; Rispoli, Vittorio
2014
Gas-surface interaction and boundary conditions for the Boltzmann equation. Zbl 1304.82062
Brull, Stéphane; Charrier, Pierre; Mieussens, Luc
2014
A smooth transition approach between the Vlasov-Poisson and the Euler-Poisson system. Zbl 1443.76250
Dimarco, Giacomo; Mieussens, Luc; Rispoli, Vittorio
2014
On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models. Zbl 1349.76787
Mieussens, Luc
2013
Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit. Zbl 1220.65116
Liu, Jian-Guo; Mieussens, Luc
2010
A multiscale kinetic-fluid solver with dynamic localization of kinetic effects. Zbl 1346.82035
Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc
2010
Numerical simulations of rarefied gases in curved channels: thermal creep, circulating flow, and pumping effect. Zbl 1364.76168
Aoki, Kazuo; Degond, Pierre; Mieussens, Luc
2009
An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit. Zbl 1234.76041
Bennoune, Mounir; Lemou, Mohammed; Mieussens, Luc
2009
A new asymptotic preserving scheme based on micro-macro formulation for linear kinetic equations in the diffusion limit. Zbl 1187.82110
Lemou, Mohammed; Mieussens, Luc
2008
Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics. Zbl 1317.76058
Bennoune, Mounir; Lemou, Mohammed; Mieussens, Luc
2008
A diffusion model for rarefied flows in curved channels. Zbl 1149.76045
Aoki, K.; Degond, P.; Mieussens, L.; Takata, S.; Yoshida, H.
2008
A moving interface method for dynamic kinetic-fluid coupling. Zbl 1388.76335
Degond, Pierre; Dimarco, Giacomo; Mieussens, Luc
2007
Time implicit schemes and fast approximations of the Fokker-Planck-Landau equation. Zbl 1148.82024
Lemou, Mohammed; Mieussens, Luc
2007
Macroscopic fluid models with localized kinetic upscaling effects. Zbl 1147.82331
Degond, Pierre; Liu, Jian-Guo; Mieussens, Luc
2006
A smooth transition model between kinetic and hydrodynamic equations. Zbl 1138.82324
Degond, Pierre; Jin, Shi; Mieussens, Luc
2005
Implicit schemes for the Fokker–Planck–Landau equation. Zbl 1096.82015
Lemou, Mohammed; Mieussens, Luc
2005
Numerical comparison of Bhatnagar-Gross-Krook models with proper Prandtl number. Zbl 1186.76372
Mieussens, Luc; Struchtrup, Henning
2004
Fast implicit schemes for the Fokker-Planck-Landau equation. Zbl 1081.82022
Lemou, Mohammed; Mieussens, Luc
2004
Discrete-velocity models for numerical simulations in transitional regime for rarefied flows and radiative transfer. Zbl 1116.82306
Charrier, Pierre; Dubroca, Bruno; Mieussens, Luc; Turpault, Rodolphe
2004
Numerical comparison between two spherical harmonics expansion models and a kinetic equation. Zbl 1159.82318
Bourgade, J. P.; Mellet, A.; Mieussens, L.
2004
Numerical solutions for the BGK-model with velocity-dependent collision frequency. Zbl 1081.76051
Mieussens, Luc; Struchtrup, Henning
2003
Convergence of a discrete-velocity model for the Boltzmann-BGK equation. Zbl 0980.82027
Mieussens, L.
2001
A conservative and entropic discrete-velocity model for rarefied polyatomic gases. Zbl 1036.82010
Dubroca, Bruno; Mieussens, Luc
2001
Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries. Zbl 0984.76070
Mieussens, Luc
2000
Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics. Zbl 1174.82329
Mieussens, Luc
2000
Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics. Zbl 1078.82526
Mieussens, Luc
2000
Convergence of a discrete-velocity model for the Boltzmann-BGK equation. Zbl 0933.82034
Mieussens, Luc
1999
Discrete-velocity models for kinetic nonequilibrium flows. Zbl 0917.35101
Charrier, Pierre; Dubroca, Bruno; Feugeas, Jean-Luc; Mieussens, Luc
1998
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#### Cited by 478 Authors

 20 Dimarco, Giacomo 20 Mieussens, Luc 18 Crouseilles, Nicolas 18 Lemou, Mohammed 18 Xu, Kun 15 Titarev, Vladimir A. 14 Jin, Shi 14 Pareschi, Lorenzo 12 Degond, Pierre 8 Li, Qin 8 Torrilhon, Manuel 7 Brull, Stephane 7 Li, Ruo 7 Li, Zhihui 7 Puppo, Gabriella 7 Samaey, Giovanni 7 Wu, Lei 7 Yun, Seok-Bae 7 Zhang, Yonghao 6 Cai, Zhenning 6 Martínez Gamba, Irene 6 Loubère, Raphaël 6 Mathiaud, Julien 6 Rey, Thomas 6 Su, Wei 6 Zhong, Chengwen 5 Alexeenko, Alina A. 5 Aoki, Kazuo 5 Baranger, Céline 5 Filbet, Francis 5 Hivert, Hélène 5 Hu, Jingwei 5 Liu, Liu 5 Lu, Jianfeng 5 Méhats, Florian 5 Pirner, Marlies 5 Qiu, Jingmei 5 Shakhov, E. M. 5 Zhang, Hanxin 4 Buet, Christophe 4 Deluzet, Fabrice 4 Dubroca, Bruno 4 Frank, Martin 4 Hu, Zhicheng 4 Jiang, Song 4 Li, Fengyan 4 Liu, Sha 4 Negulescu, Claudia 4 Reese, Jason M. 4 Struchtrup, Henning 4 Sun, Wenjun 4 Xiong, Tao 4 Yong, Wen-An 3 Alekseenko, Alexander M. 3 Bernard, Florian 3 Cheng, Yingda 3 Crestetto, Anaïs 3 Després, Bruno 3 Franck, Emmanuel 3 Gunzburger, Max D. 3 Guo, Zhaoli 3 Hauck, Cory D. 3 Huang, Juan-Chen 3 Iollo, Angelo 3 Klar, Axel 3 Kosuge, Shingo 3 Li, Weidong 3 Liu, Chang 3 Liu, Jianguo 3 McDonald, James G. 3 Melis, Ward 3 Meng, Jianping 3 Pan, Liang 3 Rispoli, Vittorio 3 Rovenskaya, Olga I. 3 Russo, Giovanni 3 Sarna, Neeraj 3 Schneider, Jacques 3 Shu, Chi-Wang 3 Tharkabhushanam, Sri Harsha 3 Turpault, Rodolphe 3 Utyuzhnikov, Sergey V. 3 Yan, Bokai 3 Zheng, Yingsong 3 Zhu, Lianhua 3 Zhu, Yajun 2 Alaia, Alessandro 2 Aregba-Driollet, Denise 2 Bennoune, Mounir 2 Bogomolov, S. V. 2 Cai, Guobiao 2 Cai, Qingdong 2 Chen, Ke 2 D’Elia, Marta 2 Du, Qiang 2 Dumbser, Michael 2 Fan, Yuwei 2 Frolova, A. A. 2 Gimelshein, Natalia 2 Gimelshein, Sergey F. ...and 378 more Authors
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#### Cited in 66 Serials

 121 Journal of Computational Physics 24 Computers and Fluids 18 Journal of Scientific Computing 15 Kinetic and Related Models 14 Multiscale Modeling & Simulation 12 SIAM Journal on Scientific Computing 11 SIAM Journal on Numerical Analysis 10 Journal of Statistical Physics 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 European Journal of Mechanics. B. Fluids 6 Journal of Fluid Mechanics 6 Continuum Mechanics and Thermodynamics 6 Physics of Fluids 5 Computers & Mathematics with Applications 5 Journal of Differential Equations 4 Mathematics of Computation 4 Computational Mathematics and Mathematical Physics 3 Computer Methods in Applied Mechanics and Engineering 3 Fluid Dynamics 3 International Journal for Numerical Methods in Fluids 3 Journal of Mathematical Physics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Matematicheskoe Modelirovanie 3 Acta Mechanica Sinica 2 Acta Mechanica 2 Journal of Mathematical Biology 2 Transport Theory and Statistical Physics 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 SIAM Journal on Mathematical Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications in Applied and Industrial Mathematics 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Analysis and Applications 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Monte Carlo Methods and Applications 1 International Journal of Computational Fluid Dynamics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Numerica 1 Oberwolfach Reports 1 SIAM/ASA Journal on Uncertainty Quantification 1 Research in the Mathematical Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 SMAI Journal of Computational Mathematics 1 Communications on Applied Mathematics and Computation
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#### Cited in 24 Fields

 239 Fluid mechanics (76-XX) 183 Numerical analysis (65-XX) 160 Statistical mechanics, structure of matter (82-XX) 136 Partial differential equations (35-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Integral equations (45-XX) 8 Mechanics of deformable solids (74-XX) 7 Probability theory and stochastic processes (60-XX) 7 Biology and other natural sciences (92-XX) 5 Approximations and expansions (41-XX) 5 Astronomy and astrophysics (85-XX) 4 Ordinary differential equations (34-XX) 4 Optics, electromagnetic theory (78-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)