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## Bourgeat, Alain P.

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 Author ID: bourgeat.alain-p Published as: Bourgeat, A.; Bourgeat, Alain; Bourgeat, Alain P.
 Documents Indexed: 70 Publications since 1977
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#### Co-Authors

 6 single-authored 13 Marušić-Paloka, Eduard 12 Mikelić, Andro 8 Piatnitski, Andrey L. 7 Gipouloux, Olivier 7 Tapiéro, Roland 5 Jurak, Mladen 5 Pankratov, Leonid S. 4 Amaziane, Brahim 4 Smaï, Farid 3 Panfilov, Mikhail 2 Badea, Anca 2 Bakhvalov, Nikolai Sergeevich 2 Boursier, Isabelle 2 Elamri, Khalid 2 Hidani, Abdelkader 1 Castillero, J. B. 1 Chechkin, Gregory Aleksandrovich 1 Chueshov, Igor’ Dmitrievich 1 Cockburn, Bernardo 1 Garbey, Marc 1 Goncharenko, Maria 1 Goncharenko, Mariya 1 Granet, Sylvie 1 Kern, Martin 1 Kern, Matthias 1 Koebbe, Joe 1 Kozlov, Sergeĭ Mikhaĭlovich 1 Luckhaus, Stephan 1 Marušić, Sanja 1 Marusvsić, Edouard 1 Otero, Josafath A. 1 Quintard, Michel 1 Ramos, R. R. 1 Schumacher, Stephan 1 Talandier, J. 1 Tromeur-Dervout, Damien 1 Viallon, Marie-Claude 1 Whitaker, Stephen 1 Wright, Steve
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#### Serials

 8 Applicable Analysis 6 Asymptotic Analysis 6 Computational Geosciences 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Multiscale Modeling & Simulation 2 Mathematical Methods in the Applied Sciences 2 Numerical Methods for Partial Differential Equations 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Solids and Structures 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal für die Reine und Angewandte Mathematik 1 SIAM Journal on Scientific and Statistical Computing 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Calculus of Variations and Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Astronomie 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 52 Fluid mechanics (76-XX) 43 Partial differential equations (35-XX) 9 Mechanics of deformable solids (74-XX) 7 Geophysics (86-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

60 Publications have been cited 508 times in 359 Documents Cited by Year
Approximations of effective coefficients in stochastic homogenization. Zbl 1058.35023
Bourgeat, Alain; Piatnitski, Andrey
2004
Stochastic two-scale convergence in the mean and applications. Zbl 0808.60056
Bourgeat, Alain; Mikelić, Andro; Wright, Steve
1994
Convergence of the homogenization process for a double-porosity model of immiscible two-phase flow. Zbl 0866.35018
Bourgeat, Alain; Luckhaus, Stephan; Mikelić, Andro
1996
Homogenized behavior of two-phase flows in naturally fractured reservoirs with uniform fractures distribution. Zbl 0545.76125
Bourgeat, Alain
1984
Two-phase, partially miscible flow and transport modeling in porous media; application to gas migration in a nuclear waste repository. Zbl 1172.76052
Bourgeat, Alain; Jurak, Mladen; Smaï, Farid
2009
Estimates in probability of the residual between the random and the homogenized solutions of one-dimensional second-order operator. Zbl 0960.60057
Bourgeat, A.; Piatnitski, A.
1999
A homogenized model of an underground waste repository including a disturbed zone. Zbl 1108.35009
Bourgeat, Alain; Marusic-Paloka, Eduard
2005
Modelling of an underground waste disposal site by upscaling. Zbl 1128.76364
Bourgeat, A.; Gipouloux, O.; Marušić-Paloka, E.
2004
Effective two-phase flow through highly heterogeneous porous media: Capillary nonequilibrium effects. Zbl 0942.76074
Bourgeat, Alain; Panfilov, Mikhail
1998
The COUPLEX test cases: nuclear waste disposal simulation. Zbl 1060.86002
Bourgeat, A.; Kern, M.; Schumacher, S.; Talandier, J.
2004
Effective fluid flow in a porous medium containing a thin fissure. Zbl 0847.35106
Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro
1995
Asymptotic homogenization of laminated piezocomposite materials. Zbl 0930.74045
Castillero, J. B.; Otero, J. A.; Ramos, R. R.; Bourgeat, Alain
1998
Averaging a transport equation with small diffusion and oscillating velocity. Zbl 1013.76069
Bourgeat, A.; Jurak, M.; Piatnitski, A. L.
2003
Homogenization of a polymer flow through a porous medium. Zbl 0863.76082
Bourgeat, Alain; Mikelić, Andro
1996
Singular double porosity model. Zbl 1290.35195
Bourgeat, Alain; Chechkin, Gregory A.; Piatnitski, Andrey L.
2003
Characterization of the flow for a single fluid in an excavation damaged zone. Zbl 1176.76128
Amaziane, Brahim; Bourgeat, Alain; Goncharenko, Mariya; Pankratov, Leonid
2004
On the double porosity model of a single phase flow in random media. Zbl 1060.76113
Bourgeat, A.; Mikelić, A.; Piatnitski, A.
2003
Random double porosity model. Zbl 1024.35008
Bourgeat, Alain; Mikelić, Andro; Piatnitski, Andrey
1998
Effective model of two-phase flow in a porous medium made of different rock types. Zbl 0833.76079
Bourgeat, Alain; Hidani, Abdelkader
1995
Effective equations of two-phase flow in random media. Zbl 0824.35099
Bourgeat, A.; Kozlov, S. M.; Mikelić, A.
1995
On persistent primary variables for numerical modeling of gas migration in a nuclear waste repository. Zbl 1382.76239
Bourgeat, Alain; Jurak, Mladen; Smaï, Farid
2013
Averaging of a singular random source term in a diffusion convection equation. Zbl 1228.35029
Bourgeat, Alain; Piatnitski, Andrey L.
2010
Effective macrodiffusion in solute transport through heterogeneous porous media. Zbl 1187.76746
Amaziane, Brahim; Bourgeat, Alain; Jurak, Mladen
2006
Homogénéisation des attracteurs d’une équation parabolique semi-linéaire dans un domaine avec “pièges” sphériques. Zbl 0938.35028
Bourgeat, Alain; Chueshov, Igor; Pankratov, Leonid
1999
Nonlinear effects for flow in periodically constricted channel caused by high injection rate. Zbl 0920.76082
Bourgeat, Alain; Marušić-Paloka, Eduard
1998
A note on homogenization of Bingham flow through a porous medium. Zbl 0836.76091
Bourgeat, A.; Mikelić, A.
1993
Compositional two-phase flow in saturated-unsaturated porous media: benchmarks for phase appearance/disappearance. Zbl 1302.76169
Bourgeat, Alain P.; Granet, Sylvie; Smaï, Farid
2013
Scaling up of source terms with random behavior for modelling transport migration of contaminants in aquifers. Zbl 1202.35330
Bourgeat, A.; Gipouloux, O.; Smai, F.
2010
Homogenization of two phase flow through randomly heterogeneous porous media. Zbl 0925.76751
Badea, A.; Bourgeat, A.
1996
Special issue on simulation of transport around a nuclear waste disposal site: The COUPLEX test cases. Zbl 1062.86501
Bourgeat, Alain P. (ed.); Kern, M. (ed.)
2004
Filtration law for polymer flow through porous media. Zbl 1038.76044
Bourgeat, Alain; Gipouloux, Olivier; Marušić-Paloka, Eduard
2003
Mathematical modelling and numerical simulation of a non-Newtonian viscous flow through a thin filter. Zbl 1103.76302
Bourgeat, Alain; Gipouloux, Olivier; Marušić-Paloka, Eduard
2001
A general double porosity model. Zbl 0965.76083
Bourgeat, Alain; Goncharenko, Maria; Panfilov, Michel; Pankratov, Leonid
1999
Numerical simulations by homogenization of two-phase flow through randomly heterogeneous porous media. Zbl 0895.76064
Badea, A.; Bourgeat, A.
1997
Weak nonlinear corrections for Darcy’s law. Zbl 0869.76085
Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro
1996
Homogenization in a perforated domain including a thin full interlayer. Zbl 0826.35007
Bourgeat, Alain; Tapiéro, Roland
1993
Éléments de comparaison entre la méthode d’homogénéisation et la méthode de prise do moyenne avec fermeture. (Comparison between homogenization theory and volume averaging method with closure problem). Zbl 0637.45008
Bourgeat, Alain; Quintard, Michel; Whitaker, Stephen
1988
A result of existence for a model of two-phase flow in a porous medium made of different rock types. Zbl 0832.35024
Bourgeat, Alain; Hidani, Abdelkader
1995
Scaling up of an underground nuclear waste repository including a possibly damaged zone. Zbl 1200.35309
Bourgeat, Alain; Marušić-Paloka, Eduard; Piatnitski, Andrey
2010
A two level scaling-up method for multiphase flow in porous media; numerical validation and comparison with other methods. Zbl 1398.76167
Bourgeat, Alain; Jurak, Mladen
2010
Homogenization of semilinear parabolic equations in domains with spherical traps. Zbl 0878.35013
Bourgeat, A.; Pankratov, L.
1997
Non-Newtonian flow through a thin filter. Zbl 0879.76002
Bourgeat, Alain; Marušić, Sanja; Marušić-Paloka, Eduard
1997
Existence d’une taille critique pour une fissure dans un milieu poreux. (Existence of a critical value for a fissure in a porous media). Zbl 0825.76805
Bourgeat, A.; Elamri, H.; Tapiero, R.
1991
Mathematical modeling of an array of underground waste containers. Zbl 1076.74548
Bourgeat, Alain; Gipouloux, Olivier; Marušić-Paloka, Eduard
2002
Precise estimates of the difference between the homogenized solution with its first corrector and the original one. Zbl 1022.65122
Bakhvalov, N. S.; Bourgeat, A.
1998
Existence of solutions of various rock types model of two-phase flow in porous media. Zbl 0877.35065
Amaziane, B.; Bourgeat, A.; El Amri, H.
1996
Effective behaviour of a porous medium containing a thin fissure. Zbl 0921.73022
Bourgeat, Alain; Marusvsić, Edouard; Mikelić, Andro
1994
Derivation of averaged equations describing a non-Newtonian flow through a thin slab. Zbl 0777.76006
Bourgeat, Alain; Mikelić, Andro; Tapiéro, Roland
1993
Homogenization of two-phase flow equations. Zbl 0641.76094
Bourgeat, Alain
1986
Nonlinear homogenization of two-phase flow equations. Zbl 0617.76117
Bourgeat, Alain P.
1985
Modelling of an underground waste disposal site by upscaling and simulation with domain decomposition method. Zbl 1309.76148
Boursier, I.; Bourgeat, A.; Tromeur-Dervout, D.
2005
Study of the double porosity model versus the fissures thickness. Zbl 1061.76081
Bourgeat, A.; Pankratov, L.; Panfilov, M.
2004
Overall behaviour of fractured porous media versus fractures’ size and permeability ratio. Zbl 1015.35010
Bourgeat, Alain
2002
Mathematical modelling of a non-Newtonian viscous flow through a thin filter. Zbl 1040.76505
Bourgeat, Alain; Marušić-Paloka, Eduard
1998
Nonlinear law for flow between two wavy plates. Zbl 0841.76082
Bourgeat, Alain; Marušić-Paloka, Eduard
1995
Homogenization of two-phase immiscible flows in a one-dimensional porous medium. Zbl 0814.35103
Bourgeat, Alain; Mikelić, Andro
1994
Computation of viscous or nonviscous conservation law by domain decomposition based on asymptotic analysis. Zbl 0742.76058
Bourgeat, A.; Garbey, M.
1992
Effective behavior of two-phase flow in heterogeneous reservoir. Zbl 0699.76102
Amaziane, Brahim; Bourgeat, Alain
1988
Global behavior of two-phase flows in homogeneous media. Zbl 0671.76121
Bourgeat, Alain
1984
Homogénéisation d’une plaque mince, thermoélastique, perforée transversalement, de structure non uniformément périodique, dans le modèle de la théorie naturelle. Zbl 0534.73014
Bourgeat, Alain; Tapiéro, Roland
1983
On persistent primary variables for numerical modeling of gas migration in a nuclear waste repository. Zbl 1382.76239
Bourgeat, Alain; Jurak, Mladen; Smaï, Farid
2013
Compositional two-phase flow in saturated-unsaturated porous media: benchmarks for phase appearance/disappearance. Zbl 1302.76169
Bourgeat, Alain P.; Granet, Sylvie; Smaï, Farid
2013
Averaging of a singular random source term in a diffusion convection equation. Zbl 1228.35029
Bourgeat, Alain; Piatnitski, Andrey L.
2010
Scaling up of source terms with random behavior for modelling transport migration of contaminants in aquifers. Zbl 1202.35330
Bourgeat, A.; Gipouloux, O.; Smai, F.
2010
Scaling up of an underground nuclear waste repository including a possibly damaged zone. Zbl 1200.35309
Bourgeat, Alain; Marušić-Paloka, Eduard; Piatnitski, Andrey
2010
A two level scaling-up method for multiphase flow in porous media; numerical validation and comparison with other methods. Zbl 1398.76167
Bourgeat, Alain; Jurak, Mladen
2010
Two-phase, partially miscible flow and transport modeling in porous media; application to gas migration in a nuclear waste repository. Zbl 1172.76052
Bourgeat, Alain; Jurak, Mladen; Smaï, Farid
2009
Effective macrodiffusion in solute transport through heterogeneous porous media. Zbl 1187.76746
Amaziane, Brahim; Bourgeat, Alain; Jurak, Mladen
2006
A homogenized model of an underground waste repository including a disturbed zone. Zbl 1108.35009
Bourgeat, Alain; Marusic-Paloka, Eduard
2005
Modelling of an underground waste disposal site by upscaling and simulation with domain decomposition method. Zbl 1309.76148
Boursier, I.; Bourgeat, A.; Tromeur-Dervout, D.
2005
Approximations of effective coefficients in stochastic homogenization. Zbl 1058.35023
Bourgeat, Alain; Piatnitski, Andrey
2004
Modelling of an underground waste disposal site by upscaling. Zbl 1128.76364
Bourgeat, A.; Gipouloux, O.; Marušić-Paloka, E.
2004
The COUPLEX test cases: nuclear waste disposal simulation. Zbl 1060.86002
Bourgeat, A.; Kern, M.; Schumacher, S.; Talandier, J.
2004
Characterization of the flow for a single fluid in an excavation damaged zone. Zbl 1176.76128
Amaziane, Brahim; Bourgeat, Alain; Goncharenko, Mariya; Pankratov, Leonid
2004
Special issue on simulation of transport around a nuclear waste disposal site: The COUPLEX test cases. Zbl 1062.86501
Bourgeat, Alain P. (ed.); Kern, M. (ed.)
2004
Study of the double porosity model versus the fissures thickness. Zbl 1061.76081
Bourgeat, A.; Pankratov, L.; Panfilov, M.
2004
Averaging a transport equation with small diffusion and oscillating velocity. Zbl 1013.76069
Bourgeat, A.; Jurak, M.; Piatnitski, A. L.
2003
Singular double porosity model. Zbl 1290.35195
Bourgeat, Alain; Chechkin, Gregory A.; Piatnitski, Andrey L.
2003
On the double porosity model of a single phase flow in random media. Zbl 1060.76113
Bourgeat, A.; Mikelić, A.; Piatnitski, A.
2003
Filtration law for polymer flow through porous media. Zbl 1038.76044
Bourgeat, Alain; Gipouloux, Olivier; Marušić-Paloka, Eduard
2003
Mathematical modeling of an array of underground waste containers. Zbl 1076.74548
Bourgeat, Alain; Gipouloux, Olivier; Marušić-Paloka, Eduard
2002
Overall behaviour of fractured porous media versus fractures’ size and permeability ratio. Zbl 1015.35010
Bourgeat, Alain
2002
Mathematical modelling and numerical simulation of a non-Newtonian viscous flow through a thin filter. Zbl 1103.76302
Bourgeat, Alain; Gipouloux, Olivier; Marušić-Paloka, Eduard
2001
Estimates in probability of the residual between the random and the homogenized solutions of one-dimensional second-order operator. Zbl 0960.60057
Bourgeat, A.; Piatnitski, A.
1999
Homogénéisation des attracteurs d’une équation parabolique semi-linéaire dans un domaine avec “pièges” sphériques. Zbl 0938.35028
Bourgeat, Alain; Chueshov, Igor; Pankratov, Leonid
1999
A general double porosity model. Zbl 0965.76083
Bourgeat, Alain; Goncharenko, Maria; Panfilov, Michel; Pankratov, Leonid
1999
Effective two-phase flow through highly heterogeneous porous media: Capillary nonequilibrium effects. Zbl 0942.76074
Bourgeat, Alain; Panfilov, Mikhail
1998
Asymptotic homogenization of laminated piezocomposite materials. Zbl 0930.74045
Castillero, J. B.; Otero, J. A.; Ramos, R. R.; Bourgeat, Alain
1998
Random double porosity model. Zbl 1024.35008
Bourgeat, Alain; Mikelić, Andro; Piatnitski, Andrey
1998
Nonlinear effects for flow in periodically constricted channel caused by high injection rate. Zbl 0920.76082
Bourgeat, Alain; Marušić-Paloka, Eduard
1998
Precise estimates of the difference between the homogenized solution with its first corrector and the original one. Zbl 1022.65122
Bakhvalov, N. S.; Bourgeat, A.
1998
Mathematical modelling of a non-Newtonian viscous flow through a thin filter. Zbl 1040.76505
Bourgeat, Alain; Marušić-Paloka, Eduard
1998
Numerical simulations by homogenization of two-phase flow through randomly heterogeneous porous media. Zbl 0895.76064
Badea, A.; Bourgeat, A.
1997
Homogenization of semilinear parabolic equations in domains with spherical traps. Zbl 0878.35013
Bourgeat, A.; Pankratov, L.
1997
Non-Newtonian flow through a thin filter. Zbl 0879.76002
Bourgeat, Alain; Marušić, Sanja; Marušić-Paloka, Eduard
1997
Convergence of the homogenization process for a double-porosity model of immiscible two-phase flow. Zbl 0866.35018
Bourgeat, Alain; Luckhaus, Stephan; Mikelić, Andro
1996
Homogenization of a polymer flow through a porous medium. Zbl 0863.76082
Bourgeat, Alain; Mikelić, Andro
1996
Homogenization of two phase flow through randomly heterogeneous porous media. Zbl 0925.76751
Badea, A.; Bourgeat, A.
1996
Weak nonlinear corrections for Darcy’s law. Zbl 0869.76085
Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro
1996
Existence of solutions of various rock types model of two-phase flow in porous media. Zbl 0877.35065
Amaziane, B.; Bourgeat, A.; El Amri, H.
1996
Effective fluid flow in a porous medium containing a thin fissure. Zbl 0847.35106
Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro
1995
Effective model of two-phase flow in a porous medium made of different rock types. Zbl 0833.76079
Bourgeat, Alain; Hidani, Abdelkader
1995
Effective equations of two-phase flow in random media. Zbl 0824.35099
Bourgeat, A.; Kozlov, S. M.; Mikelić, A.
1995
A result of existence for a model of two-phase flow in a porous medium made of different rock types. Zbl 0832.35024
Bourgeat, Alain; Hidani, Abdelkader
1995
Nonlinear law for flow between two wavy plates. Zbl 0841.76082
Bourgeat, Alain; Marušić-Paloka, Eduard
1995
Stochastic two-scale convergence in the mean and applications. Zbl 0808.60056
Bourgeat, Alain; Mikelić, Andro; Wright, Steve
1994
Effective behaviour of a porous medium containing a thin fissure. Zbl 0921.73022
Bourgeat, Alain; Marusvsić, Edouard; Mikelić, Andro
1994
Homogenization of two-phase immiscible flows in a one-dimensional porous medium. Zbl 0814.35103
Bourgeat, Alain; Mikelić, Andro
1994
A note on homogenization of Bingham flow through a porous medium. Zbl 0836.76091
Bourgeat, A.; Mikelić, A.
1993
Homogenization in a perforated domain including a thin full interlayer. Zbl 0826.35007
Bourgeat, Alain; Tapiéro, Roland
1993
Derivation of averaged equations describing a non-Newtonian flow through a thin slab. Zbl 0777.76006
Bourgeat, Alain; Mikelić, Andro; Tapiéro, Roland
1993
Computation of viscous or nonviscous conservation law by domain decomposition based on asymptotic analysis. Zbl 0742.76058
Bourgeat, A.; Garbey, M.
1992
Existence d’une taille critique pour une fissure dans un milieu poreux. (Existence of a critical value for a fissure in a porous media). Zbl 0825.76805
Bourgeat, A.; Elamri, H.; Tapiero, R.
1991
Éléments de comparaison entre la méthode d’homogénéisation et la méthode de prise do moyenne avec fermeture. (Comparison between homogenization theory and volume averaging method with closure problem). Zbl 0637.45008
Bourgeat, Alain; Quintard, Michel; Whitaker, Stephen
1988
Effective behavior of two-phase flow in heterogeneous reservoir. Zbl 0699.76102
Amaziane, Brahim; Bourgeat, Alain
1988
Homogenization of two-phase flow equations. Zbl 0641.76094
Bourgeat, Alain
1986
Nonlinear homogenization of two-phase flow equations. Zbl 0617.76117
Bourgeat, Alain P.
1985
Homogenized behavior of two-phase flows in naturally fractured reservoirs with uniform fractures distribution. Zbl 0545.76125
Bourgeat, Alain
1984
Global behavior of two-phase flows in homogeneous media. Zbl 0671.76121
Bourgeat, Alain
1984
Homogénéisation d’une plaque mince, thermoélastique, perforée transversalement, de structure non uniformément périodique, dans le modèle de la théorie naturelle. Zbl 0534.73014
Bourgeat, Alain; Tapiéro, Roland
1983
all top 5

#### Cited by 512 Authors

 22 Amaziane, Brahim 19 Pankratov, Leonid S. 14 Legoll, Frédéric 12 Mikelić, Andro 12 Piatnitski, Andrey L. 11 Jurak, Mladen 9 Bourgeat, Alain P. 9 Gloria, Antoine 9 Woukeng, Jean Louis 8 Le Bris, Claude 7 Anguiano, María 7 Marušić-Paloka, Eduard 7 Saad, Mazen 6 Bunoiu, Renata 6 Knabner, Peter 6 Neukamm, Stefan 5 Abdulle, Assyr 5 Chung, Tsz Shun Eric 5 Efendiev, Yalchin R. 5 Gahn, Markus 5 Neuss-Radu, Maria 5 Otto, Felix 5 Saad, Bilal M. 5 Schweizer, Ben 5 Wheeler, Mary Fanett 4 Allaire, Grégoire 4 Bal, Guillaume 4 Bravo-Castillero, Julián 4 Choquet, Catherine 4 Gu, Yu 4 Jäger, Willi 4 Minvielle, William 4 Muntean, Adrian 4 Nguetseng, Gabriel 4 Smaï, Farid 4 Suárez-Grau, Francisco Javier 4 Velčić, Igor 4 Yao, Zhengan 4 Žgaljić Keko, Ana 4 Zhao, Hongxing 3 Calvo-Jurado, Carmen 3 Cardone, Giuseppe 3 Casado-Díaz, Juan 3 Chechkin, Gregory Aleksandrovich 3 Gérard-Varet, David 3 Gilbert, Robert Pertsch 3 Leung, Wingtat 3 Luna-Laynez, Manuel 3 Marpeau, Fabien 3 Marušić, Sanja 3 Mustapha, Hussein 3 Panasenko, Grigory P. 3 Panchenko, Alexander N. 3 Panfilov, Mikhail 3 Pop, Iuliu Sorin 3 Ptashnyk, Mariya 3 Rodríguez-Ramos, Reinaldo 3 Sabina, Federico J. 3 Sango, Mamadou 3 Souganidis, Panagiotis E. 3 Vasilic, Ana 3 Visintin, Augusto 3 Vrbaski, Anja 2 Abreu, Eduardo 2 Ambrosio, Luigi 2 Amirat, Youcef Aït 2 Apoung Kamga, Jean-Baptiste 2 Babuška, Ivo 2 Bastian, Peter 2 Brenner, Konstantin 2 Cancès, Eric 2 Caro, Florian 2 Clark, Gordon W. 2 Cottereau, Régis 2 Dalibard, Anne-Laure 2 Duncan, Andrew B. 2 Ehrlacher, Virginie 2 El Ossmani, Mustapha 2 Fatima, Tasnim 2 Fratrović, Tomislav 2 Frid, Hermano 2 Gerritsen, Margot G. 2 Gipouloux, Olivier 2 Guinovart-Díaz, Raúl 2 Henning, Patrick 2 Hornung, Ulrich 2 Iliev, Oleg P. 2 Khrabustovskyi, Andrii 2 Kim, Jin-Yeon F. 2 Konyukhov, Andrey 2 Lambers, James V. 2 Lee, Sanghyun 2 Lejay, Antoine 2 Lenzinger, Michael 2 Lions, Pierre-Louis 2 Liu, Zhifeng 2 Luce, Robert 2 Masson, Roland 2 Mohammed, Mogtaba A. Y. 2 Motamed, Mohammad ...and 412 more Authors
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#### Cited in 110 Serials

 26 Computational Geosciences 24 Applicable Analysis 16 Computer Methods in Applied Mechanics and Engineering 12 Journal of Computational Physics 12 Mathematical Methods in the Applied Sciences 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Nonlinear Analysis. Real World Applications 10 Journal of Differential Equations 10 Multiscale Modeling & Simulation 9 Journal of Mathematical Analysis and Applications 9 Journal of Computational and Applied Mathematics 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Networks and Heterogeneous Media 7 Discrete and Continuous Dynamical Systems. Series S 6 International Journal of Engineering Science 5 SIAM Journal on Mathematical Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 International Journal for Numerical Methods in Engineering 4 Mathematics and Computers in Simulation 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Numerical Mathematics 4 Applications of Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Journal of Mathematical Sciences (New York) 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Physics 3 SIAM Journal on Numerical Analysis 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Communications in Partial Differential Equations 3 Mathematical Problems in Engineering 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Journal of the Mechanics and Physics of Solids 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Functional Analysis 2 Zeitschrift für Analysis und ihre Anwendungen 2 Probability Theory and Related Fields 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 European Journal of Applied Mathematics 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 Stochastic Processes and their Applications 2 Archive of Applied Mechanics 2 Journal of Nonlinear Science 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematics and Mechanics of Solids 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 European Journal of Mechanics. A. Solids 2 Discrete and Continuous Dynamical Systems. Series B 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society 1 Fluid Dynamics 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Nonlinearity 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Theoretical and Computational Fluid Dynamics 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Inventiones Mathematicae 1 Quarterly of Applied Mathematics 1 Transactions of the Moscow Mathematical Society 1 Acta Applicandae Mathematicae 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 The Annals of Applied Probability 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Vestnik St. Petersburg University. Mathematics 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Monte Carlo Methods and Applications 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Vietnam Journal of Mathematics 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 LMS Journal of Computation and Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Foundations of Computational Mathematics ...and 10 more Serials
all top 5

#### Cited in 24 Fields

 229 Partial differential equations (35-XX) 167 Fluid mechanics (76-XX) 77 Mechanics of deformable solids (74-XX) 65 Numerical analysis (65-XX) 47 Probability theory and stochastic processes (60-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Biology and other natural sciences (92-XX) 11 Functional analysis (46-XX) 8 Geophysics (86-XX) 6 Ordinary differential equations (34-XX) 6 Optics, electromagnetic theory (78-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1