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Hecht, Frédéric

Co-Author Distance
Author ID: hecht.frederic Recent zbMATH articles by "Hecht, Frédéric"
Published as: Hecht, Frédéric; Hecht, F.; Hecht, Frederic
External Links: MGP
Videos: carmin.tv
Documents Indexed: 96 Publications since 1981, including 2 Additional arXiv Preprints
Co-Authors: 88 Co-Authors with 85 Joint Publications
2,193 Co-Co-Authors
all top 5

Co-Authors

6 single-authored
22 Bernardi, Christine
14 Pironneau, Olivier
9 Girault, Vivette
6 George, Paul Louis
5 Belhachmi, Zakaria
5 Chacón Rebollo, Tomás
5 Danaila, Ionut
5 Saltel, Eric
5 Sayah, Toni
4 Dolean, Victorita
4 Mghazli, Zoubida
4 Tournier, Pierre-Henri
3 Ben Belgacem, Faker
3 Blouza, Adel
3 Jolivet, Pierre
3 Mohammadi, Bijan
3 Nataf, Frédéric
3 Thiriet, Marc
2 Aldbaissy, Rim
2 Amara, Mohamed
2 Auliac, Sylvain
2 Bonazzoli, Marcella
2 Borouchaki, Houman
2 Castro-Díaz, Manuel Jesús
2 Deparis, Simone
2 Dib, Séréna
2 Garnotel, Simon
2 Gómez Mármol, Macarena
2 Houssein, Houssam
2 Kalt, Victor
2 Kuate, Raphael
2 Le Dret, Hervé
2 Lozinski, Alexei
2 Mansour, Gihane
2 Prud’homme, Christophe
2 Rapetti, Francesca
2 Rubino, Samuele
2 Sadaka, Georges
2 Sheng, Zhiqiang
2 Verfürth, Rüdiger
1 Achdou, Yves
1 Azaïez, Mejdi
1 Bajc, Iztok
1 Bégis, D.
1 Bergam, Amal
1 Boffi, Daniele
1 Caquot, E.
1 Čermák, Martin
1 Cohen, Albert
1 Devaux, Nicolas
1 Dufilié, Pierre
1 Dyn, Nira
1 Favennec, Yann
1 Fischer, Paul F.
1 Franco Coronil, Daniel
1 Frey, Pascal Jean
1 Golse, François
1 Goussebaile, J.
1 Haddad, Mireille
1 Hauret, Patrice
1 Jangveladze, Temur A.
1 Kaber, Sidimahmoud
1 Kawarada, Hideo
1 Kiguradze, Zurab V.
1 Labadie, G.
1 Laug, Patrick
1 Le Bot, Cédric
1 Le Hardy, D.
1 Le Masson, Stéphane
1 Lewandowski, Roger
1 Lions, Jacques-Louis
1 Maday, Yvon
1 Mirebeau, Jean-Marie
1 Moglan, Raluca
1 Murat, François
1 Naji, Ilyas
1 Nouri, Fatma Zohra
1 Ohtsuka, Kohji
1 Orzetti, Giordano
1 Parés Madroñal, Carlos
1 Perronnet, Alain
1 Pommier, David
1 Reinhart, Laure
1 Roberts, Jean Elizabeth
1 Rousseau, Benoit
1 Salmon, Stéphanie
1 Sánchez Muñoz, Isabel
1 Smets, Didier
1 Spillane, Nicole
1 Tang, Zuqi
1 Tautges, Timothy J.
1 Vallet, Marie-Gabrielle
1 Ventura, Pascal
1 Vergez, Guillaume
1 Vidrascu, Marina
1 Vohralík, Martin
1 Žumer, Slobodan
all top 5

Serials

7 Journal of Computational Physics
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 International Journal for Numerical Methods in Fluids
4 Journal of Scientific Computing
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Journal of Numerical Mathematics
3 Computer Physics Communications
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 IMA Journal of Numerical Analysis
2 Mathematics of Computation
2 Numerische Mathematik
2 SIAM Journal on Numerical Analysis
2 Numerical Algorithms
2 Journal of Mathematical Imaging and Vision
2 East-West Journal of Numerical Mathematics
2 Revue Européenne des Éléments Finis
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Inverse Problems
1 Applied Mathematics and Computation
1 Calcolo
1 International Journal for Numerical Methods in Engineering
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 RAIRO. Analyse Numérique
1 Acta Applicandae Mathematicae
1 Finite Elements in Analysis and Design
1 COMPEL
1 IMPACT of Computing in Science and Engineering
1 Japan Journal of Industrial and Applied Mathematics
1 Advances in Engineering Software and Workstations
1 Computational Geometry
1 International Journal of Computer Mathematics
1 Journal of Elasticity
1 SIAM Journal on Scientific Computing
1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b
1 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Study
1 Information
1 MathematicS In Action
all top 5

Fields

72 Numerical analysis (65-XX)
43 Fluid mechanics (76-XX)
34 Partial differential equations (35-XX)
11 Mechanics of deformable solids (74-XX)
5 Computer science (68-XX)
4 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Geophysics (86-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Operator theory (47-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Biology and other natural sciences (92-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

69 Publications have been cited 793 times in 646 Documents Cited by ▼ Year ▼
New development in freefem++. Zbl 1266.68090
Hecht, F.
1,411
2012
Anisotropic unstructured mesh adaption for flow simulations. Zbl 0902.76057
Castro-Díaz, M. J.; Hecht, F.; Mohammadi, B.; Pironneau, O.
92
1997
Delaunay mesh generation governed by metric specifications. Part I: Algorithms. Zbl 0897.65076
Borouchaki, Houman; George, Paul Louis; Hecht, Frédéric; Laug, Patrick; Saltel, Eric
66
1997
A parareal in time semi-implicit approximation of the Navier-Stokes equations. Zbl 1309.76060
Fischer, Paul F.; Hecht, Frédéric; Maday, Yvon
58
2005
Automatic mesh generator with specified boundary. Zbl 0756.65133
George, P. L.; Hecht, F.; Saltel, E.
53
1991
Mortar finite element discretization of a model coupling Darcy and Stokes equations. Zbl 1138.76044
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Mghazli, Zoubida
40
2008
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
35
2005
A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates. Zbl 1198.82035
Danaila, Ionut; Hecht, Frédéric
29
2010
Mesh gradation control. Zbl 0944.76071
Borouchaki, Houman; Hecht, Frédéric; Frey, Pascal J.
27
1998
Error indicators for the mortar finite element discretization of the Laplace equation. Zbl 1012.65108
Bernardi, Christine; Hecht, Frédéric
24
2002
A Newton method with adaptive finite elements for solving phase-change problems with natural convection. Zbl 1351.76056
Danaila, Ionut; Moglan, Raluca; Hecht, Frédéric; Le Masson, Stéphane
23
2014
A finite element discretization of the three-dimensional Navier-Stokes equations with mixed boundary conditions. Zbl 1422.76124
Bernardi, Christine; Hecht, Frédéric; Verfürth, Rüdiger
20
2009
A new finite-element discretization of the Stokes problem coupled with the Darcy equations. Zbl 1423.76213
Bernardi, Christine; Hecht, Frédéric; Nouri, Fatma Zohra
19
2010
Mesh adaption for the Black and Scholes equations. Zbl 0995.91026
Pironneau, O.; Hecht, F.
18
2000
Construction d’une base de fonctions P1 non conforme à divergence nulle dans R3. Zbl 0471.76028
Hecht, F.
16
1981
Finite element methods for Darcy’s problem coupled with the heat equation. Zbl 1393.35159
Bernardi, Christine; Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Murat, François; Sayah, Toni
16
2018
Fully automatic mesh generator for 3D domains of any shape. Zbl 0717.65095
George, P. L.; Hecht, F.; Saltel, E.
16
1990
A full discretisation of the time-dependent Boussinesq (buoyancy) model with nonlinear viscosity. Zbl 1404.35317
Aldbaissy, Rim; Hecht, Frédéric; Mansour, Gihane; Sayah, Toni
14
2018
A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099
Bernardi, C.; Girault, V.; Hecht, F.
13
2003
Creation of internal points in Voronoi’s type method. Control adaptation. Zbl 0754.65095
George, P. L.; Hecht, F.; Vallet, M. G.
12
1991
Mortar finite element discretization for the flow in a nonhomogeneous porous medium. Zbl 1173.76331
Bernardi, Christine; Hecht, Frédéric; Mghazli, Zoubida
12
2007
A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation. Zbl 1380.65389
Vergez, Guillaume; Danaila, Ionut; Auliac, Sylvain; Hecht, Frédéric
12
2016
High performance domain decomposition methods on massively parallel architectures with freefem++. Zbl 1267.65195
Jolivet, P.; Dolean, V.; Hecht, F.; Nataf, F.; Prud’Homme, C.; Spillane, N.
11
2012
A high-order local projection stabilization method for natural convection problems. Zbl 1397.65181
Chacón Rebollo, Tomás; Gómez Mármol, Macarena; Hecht, Frédéric; Rubino, Samuele; Sánchez Muñoz, Isabel
10
2018
A mesh adaptivity scheme on the Landau-de Gennes functional minimization case in 3D, and its driving efficiency. Zbl 1349.76170
Bajc, Iztok; Hecht, Frédéric; Žumer, Slobodan
10
2016
Adaptive multiresolution analysis based on anisotropic triangulations. Zbl 1242.65293
Cohen, Albert; Dyn, Nira; Hecht, Frédéric; Mirebeau, Jean-Marie
10
2012
A truncated Fourier/finite element discretization of the Stokes equations in an axisymmetric domain. Zbl 1134.76376
Belhachmi, Z.; Bernardi, C.; Deparis, S.; Hecht, F.
9
2006
Two finite element approximations of Naghdi’s shell model in Cartesian coordinates. Zbl 1109.74048
Blouza, Adel; Hecht, Frédéric; Le Dret, Hervé
8
2006
Quadratic finite elements with non-matching grids for the unilateral boundary contact. Zbl 1308.74140
Auliac, S.; Belhachmi, Z.; Ben Belgacem, F.; Hecht, F.
8
2013
A posteriori error estimates for Darcy’s problem coupled with the heat equation. Zbl 1434.65226
Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Sayah, Toni
8
2019
Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations. Zbl 1169.76031
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Lewandowski, Roger
8
2009
Numerical approximation of the Smagorinsky turbulence model applied to the primitive equations of the ocean. Zbl 1533.76042
Chacón Rebollo, Tomás; Hecht, Frédéric; Gómez Mármol, Macarena; Orzetti, Giordano; Rubino, Samuele
7
2014
A posteriori error estimates for parabolic variational inequalities. Zbl 1203.65096
Achdou, Yves; Hecht, Frédéric; Pommier, David
7
2008
Finite difference scheme for one system of nonlinear partial integro-differential equations. Zbl 1427.65164
Hecht, Frederic; Jangveladze, Temur; Kiguradze, Zurab; Pironneau, Olivier
7
2018
A posteriori analysis of a finite element discretization of a Naghdi shell model. Zbl 1329.74268
Bernardi, Christine; Hecht, Frédéric; Le Dret, Hervé; Blouza, Adel
6
2013
A discrete differential sequence for elasticity based upon continuous displacements. Zbl 1372.74086
Hauret, Patrice; Hecht, Frédéric
6
2013
Control of the effects of regularization on variational optic flow computations. Zbl 1255.68206
Belhachmi, Z.; Hecht, F.
6
2011
Error indicators for the mortar finite element discretization of a parabolic problem. Zbl 1035.65102
Bergam, A.; Bernardi, C.; Hecht, F.; Mghazli, Z.
6
2003
Specular reflection treatment for the 3D radiative transfer equation solved with the discrete ordinates method. Zbl 1380.65379
Le Hardy, D.; Favennec, Y.; Rousseau, B.; Hecht, F.
6
2017
An adaptive approach for the segmentation and the TV-filtering in the optic flow estimation. Zbl 1405.94013
Belhachmi, Zakaria; Hecht, Frederic
5
2016
Numerical zoom and the Schwarz algorithm. Zbl 1183.65162
Hecht, Frédéric; Lozinski, Alexei; Pironneau, Olivier
5
2009
An approximation of anisotropic metrics from higher order interpolation error for triangular mesh adaptation. Zbl 1294.65106
Hecht, Frédéric; Kuate, Raphaël
5
2014
Implementation of a low-order mimetic elements in freefem++. Zbl 1267.65127
Dalal, D.; Hecht, F.; Pironneau, O.
4
2012
Numerical methods for grade-two fluid models: finite-element discretizations and algorithms. Zbl 1318.76009
Girault, Vivette; Hecht, Frédéric
4
2011
Some further approximation properties of Nédélec finite elements, aapplication to a posteriori analysis. (Quelques propriétés d’approximation des éléments finis de nédélec, application à l’analyse a posteriori.) Zbl 1114.65139
Bernardi, Christine; Hecht, Frédéric
4
2007
Mixed finite element simulation of heterojunction structures including a boundary layer model for the quasi-Fermi levels. Zbl 0824.65136
Hecht, F.; Marrocco, A.
3
1994
Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem. Zbl 1448.65221
Čermák, Martin; Hecht, Frédéric; Tang, Zuqi; Vohralík, Martin
3
2018
An efficient discretization of the Navier-Stokes equations in an axisymmetric domain. I: The discrete problem and its numerical analysis. Zbl 1101.76031
Belhachmi, Z.; Bernardi, C.; Deparis, S.; Hecht, F.
3
2006
An efficient numerical method for the equations of steady and unsteady flows of homogeneous incompressible Newtonian fluid. Zbl 1283.76019
Sheng, Zhiqiang; Thiriet, Marc; Hecht, Frederic
3
2011
A finite element problem issued from fictious domain techniques. Zbl 1002.65127
Bernardi, C.; Girault, V.; Hecht, F.; Kawarada, H.; Pironneau, O.
3
2001
Mesh adaptation for time-dependent simulation, optimization and control. Zbl 1018.76040
Mohammadi, Bijan; Hecht, Frédéric
3
2001
Finite element solution of the shallow water equations by a quasi-direct decomposition procedure. Zbl 0554.76021
Goussebaile, J.; Hecht, F.; Labadie, G.; Reinhart, L.
3
1984
A residual a posteriori error estimators for a model for flow in porous media with fractures. Zbl 1419.65096
Hecht, F.; Mghazli, Z.; Naji, I.; Roberts, J. E.
3
2019
More pressure in the finite element discretization of the Stokes problem. Zbl 0992.76051
Bernardi, Christine; Hecht, Frédéric
2
2000
3D mesh adaptation by metric control for CFD. Zbl 0966.76054
Mohammadi, Bijan; George, Paul-Louis; Hecht, Frédéric; Saltel, Eric
2
2000
Regularized finite element discretizations of a grade-two fluid model. Zbl 1072.76036
Amara, M.; Bernardi, C.; Girault, V.; Hecht, F.
2
2005
A high-order scheme for the incompressible Navier-Stokes equations with open boundary condition. Zbl 1455.65138
Sheng, Z.; Thiriet, M.; Hecht, F.
2
2013
A posteriori error analysis of the method of characteristics. Zbl 1228.65181
Bernardi, Christine; Hecht, Frédéric; Verfürth, Rüdiger
2
2011
Numerical zoom for multiscale problems with an application to flows through porous media. Zbl 1156.76033
Hecht, Frédéric; Lozinski, Alexei; Perronnet, Alain; Pironneau, Olivier
2
2009
Overlapping domain decomposition methods with FreeFem++. Zbl 1382.65445
Jolivet, Pierre; Hecht, Frédéric; Nataf, Frédéric; Prud’homme, Christophe
1
2014
An incompressible fluid in a weakly deformable shell. I: Analysis of the model. Zbl 1290.74013
Bernardi, Christine; Blouza, Adel; Hecht, Frédéric
1
2012
Use of divergence free basis in finite elements methods. Zbl 0547.76037
Hecht, Frédéric
1
1984
Choice of the penalty parameter for the finite element discretization of Navier-Stokes equations. (Choix du paramètre de pénalisation pour la discrétisation par éléments finis des équations de Navier-Stokes.) Zbl 1140.76361
Bernardi, Christine; Girault, Vivette; Hecht, Frédéric
1
2003
The generation of anisotropic grids. The minimization of the interpolation error. Zbl 0960.65533
Castro Díaz, M. J.; Hecht, F.
1
1998
Stabilized finite elements for a reaction-dispersion saddle-point problem with nonconstant coefficients. Zbl 1311.65142
Ben Belgacem, Faker; Bernardi, Christine; Hecht, Frédéric; Salmon, Stéphanie
1
2014
An ill-posed parabolic evolution system for dispersive deoxygenation-reaeration in water. Zbl 1285.35129
Azaïez, M.; Ben Belgacem, F.; Hecht, F.; Le Bot, C.
1
2014
Identification of vortices in quantum fluids: finite element algorithms and programs. Zbl 07700421
Kalt, Victor; Sadaka, Georges; Danaila, Ionut; Hecht, Frédéric
1
2023
An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell’s equations. Zbl 1409.65088
Bonazzoli, Marcella; Dolean, Victorita; Hecht, Frédéric; Rapetti, Francesca
1
2018
Radiative transfer for variable three-dimensional atmospheres. Zbl 07649284
Golse, F.; Hecht, F.; Pironneau, O.; Smets, D.; Tournier, P.-H.
1
2023
Identification of vortices in quantum fluids: finite element algorithms and programs. Zbl 07700421
Kalt, Victor; Sadaka, Georges; Danaila, Ionut; Hecht, Frédéric
1
2023
Radiative transfer for variable three-dimensional atmospheres. Zbl 07649284
Golse, F.; Hecht, F.; Pironneau, O.; Smets, D.; Tournier, P.-H.
1
2023
A posteriori error estimates for Darcy’s problem coupled with the heat equation. Zbl 1434.65226
Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Sayah, Toni
8
2019
A residual a posteriori error estimators for a model for flow in porous media with fractures. Zbl 1419.65096
Hecht, F.; Mghazli, Z.; Naji, I.; Roberts, J. E.
3
2019
Finite element methods for Darcy’s problem coupled with the heat equation. Zbl 1393.35159
Bernardi, Christine; Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Murat, François; Sayah, Toni
16
2018
A full discretisation of the time-dependent Boussinesq (buoyancy) model with nonlinear viscosity. Zbl 1404.35317
Aldbaissy, Rim; Hecht, Frédéric; Mansour, Gihane; Sayah, Toni
14
2018
A high-order local projection stabilization method for natural convection problems. Zbl 1397.65181
Chacón Rebollo, Tomás; Gómez Mármol, Macarena; Hecht, Frédéric; Rubino, Samuele; Sánchez Muñoz, Isabel
10
2018
Finite difference scheme for one system of nonlinear partial integro-differential equations. Zbl 1427.65164
Hecht, Frederic; Jangveladze, Temur; Kiguradze, Zurab; Pironneau, Olivier
7
2018
Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem. Zbl 1448.65221
Čermák, Martin; Hecht, Frédéric; Tang, Zuqi; Vohralík, Martin
3
2018
An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell’s equations. Zbl 1409.65088
Bonazzoli, Marcella; Dolean, Victorita; Hecht, Frédéric; Rapetti, Francesca
1
2018
Specular reflection treatment for the 3D radiative transfer equation solved with the discrete ordinates method. Zbl 1380.65379
Le Hardy, D.; Favennec, Y.; Rousseau, B.; Hecht, F.
6
2017
A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation. Zbl 1380.65389
Vergez, Guillaume; Danaila, Ionut; Auliac, Sylvain; Hecht, Frédéric
12
2016
A mesh adaptivity scheme on the Landau-de Gennes functional minimization case in 3D, and its driving efficiency. Zbl 1349.76170
Bajc, Iztok; Hecht, Frédéric; Žumer, Slobodan
10
2016
An adaptive approach for the segmentation and the TV-filtering in the optic flow estimation. Zbl 1405.94013
Belhachmi, Zakaria; Hecht, Frederic
5
2016
A Newton method with adaptive finite elements for solving phase-change problems with natural convection. Zbl 1351.76056
Danaila, Ionut; Moglan, Raluca; Hecht, Frédéric; Le Masson, Stéphane
23
2014
Numerical approximation of the Smagorinsky turbulence model applied to the primitive equations of the ocean. Zbl 1533.76042
Chacón Rebollo, Tomás; Hecht, Frédéric; Gómez Mármol, Macarena; Orzetti, Giordano; Rubino, Samuele
7
2014
An approximation of anisotropic metrics from higher order interpolation error for triangular mesh adaptation. Zbl 1294.65106
Hecht, Frédéric; Kuate, Raphaël
5
2014
Overlapping domain decomposition methods with FreeFem++. Zbl 1382.65445
Jolivet, Pierre; Hecht, Frédéric; Nataf, Frédéric; Prud’homme, Christophe
1
2014
Stabilized finite elements for a reaction-dispersion saddle-point problem with nonconstant coefficients. Zbl 1311.65142
Ben Belgacem, Faker; Bernardi, Christine; Hecht, Frédéric; Salmon, Stéphanie
1
2014
An ill-posed parabolic evolution system for dispersive deoxygenation-reaeration in water. Zbl 1285.35129
Azaïez, M.; Ben Belgacem, F.; Hecht, F.; Le Bot, C.
1
2014
Quadratic finite elements with non-matching grids for the unilateral boundary contact. Zbl 1308.74140
Auliac, S.; Belhachmi, Z.; Ben Belgacem, F.; Hecht, F.
8
2013
A posteriori analysis of a finite element discretization of a Naghdi shell model. Zbl 1329.74268
Bernardi, Christine; Hecht, Frédéric; Le Dret, Hervé; Blouza, Adel
6
2013
A discrete differential sequence for elasticity based upon continuous displacements. Zbl 1372.74086
Hauret, Patrice; Hecht, Frédéric
6
2013
A high-order scheme for the incompressible Navier-Stokes equations with open boundary condition. Zbl 1455.65138
Sheng, Z.; Thiriet, M.; Hecht, F.
2
2013
New development in freefem++. Zbl 1266.68090
Hecht, F.
1,411
2012
High performance domain decomposition methods on massively parallel architectures with freefem++. Zbl 1267.65195
Jolivet, P.; Dolean, V.; Hecht, F.; Nataf, F.; Prud’Homme, C.; Spillane, N.
11
2012
Adaptive multiresolution analysis based on anisotropic triangulations. Zbl 1242.65293
Cohen, Albert; Dyn, Nira; Hecht, Frédéric; Mirebeau, Jean-Marie
10
2012
Implementation of a low-order mimetic elements in freefem++. Zbl 1267.65127
Dalal, D.; Hecht, F.; Pironneau, O.
4
2012
An incompressible fluid in a weakly deformable shell. I: Analysis of the model. Zbl 1290.74013
Bernardi, Christine; Blouza, Adel; Hecht, Frédéric
1
2012
Control of the effects of regularization on variational optic flow computations. Zbl 1255.68206
Belhachmi, Z.; Hecht, F.
6
2011
Numerical methods for grade-two fluid models: finite-element discretizations and algorithms. Zbl 1318.76009
Girault, Vivette; Hecht, Frédéric
4
2011
An efficient numerical method for the equations of steady and unsteady flows of homogeneous incompressible Newtonian fluid. Zbl 1283.76019
Sheng, Zhiqiang; Thiriet, Marc; Hecht, Frederic
3
2011
A posteriori error analysis of the method of characteristics. Zbl 1228.65181
Bernardi, Christine; Hecht, Frédéric; Verfürth, Rüdiger
2
2011
A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates. Zbl 1198.82035
Danaila, Ionut; Hecht, Frédéric
29
2010
A new finite-element discretization of the Stokes problem coupled with the Darcy equations. Zbl 1423.76213
Bernardi, Christine; Hecht, Frédéric; Nouri, Fatma Zohra
19
2010
A finite element discretization of the three-dimensional Navier-Stokes equations with mixed boundary conditions. Zbl 1422.76124
Bernardi, Christine; Hecht, Frédéric; Verfürth, Rüdiger
20
2009
Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations. Zbl 1169.76031
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Lewandowski, Roger
8
2009
Numerical zoom and the Schwarz algorithm. Zbl 1183.65162
Hecht, Frédéric; Lozinski, Alexei; Pironneau, Olivier
5
2009
Numerical zoom for multiscale problems with an application to flows through porous media. Zbl 1156.76033
Hecht, Frédéric; Lozinski, Alexei; Perronnet, Alain; Pironneau, Olivier
2
2009
Mortar finite element discretization of a model coupling Darcy and Stokes equations. Zbl 1138.76044
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Mghazli, Zoubida
40
2008
A posteriori error estimates for parabolic variational inequalities. Zbl 1203.65096
Achdou, Yves; Hecht, Frédéric; Pommier, David
7
2008
Mortar finite element discretization for the flow in a nonhomogeneous porous medium. Zbl 1173.76331
Bernardi, Christine; Hecht, Frédéric; Mghazli, Zoubida
12
2007
Some further approximation properties of Nédélec finite elements, aapplication to a posteriori analysis. (Quelques propriétés d’approximation des éléments finis de nédélec, application à l’analyse a posteriori.) Zbl 1114.65139
Bernardi, Christine; Hecht, Frédéric
4
2007
A truncated Fourier/finite element discretization of the Stokes equations in an axisymmetric domain. Zbl 1134.76376
Belhachmi, Z.; Bernardi, C.; Deparis, S.; Hecht, F.
9
2006
Two finite element approximations of Naghdi’s shell model in Cartesian coordinates. Zbl 1109.74048
Blouza, Adel; Hecht, Frédéric; Le Dret, Hervé
8
2006
An efficient discretization of the Navier-Stokes equations in an axisymmetric domain. I: The discrete problem and its numerical analysis. Zbl 1101.76031
Belhachmi, Z.; Bernardi, C.; Deparis, S.; Hecht, F.
3
2006
A parareal in time semi-implicit approximation of the Navier-Stokes equations. Zbl 1309.76060
Fischer, Paul F.; Hecht, Frédéric; Maday, Yvon
58
2005
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
35
2005
Regularized finite element discretizations of a grade-two fluid model. Zbl 1072.76036
Amara, M.; Bernardi, C.; Girault, V.; Hecht, F.
2
2005
A posteriori analysis of a penalty method and application to the Stokes problem. Zbl 1050.65099
Bernardi, C.; Girault, V.; Hecht, F.
13
2003
Error indicators for the mortar finite element discretization of a parabolic problem. Zbl 1035.65102
Bergam, A.; Bernardi, C.; Hecht, F.; Mghazli, Z.
6
2003
Choice of the penalty parameter for the finite element discretization of Navier-Stokes equations. (Choix du paramètre de pénalisation pour la discrétisation par éléments finis des équations de Navier-Stokes.) Zbl 1140.76361
Bernardi, Christine; Girault, Vivette; Hecht, Frédéric
1
2003
Error indicators for the mortar finite element discretization of the Laplace equation. Zbl 1012.65108
Bernardi, Christine; Hecht, Frédéric
24
2002
A finite element problem issued from fictious domain techniques. Zbl 1002.65127
Bernardi, C.; Girault, V.; Hecht, F.; Kawarada, H.; Pironneau, O.
3
2001
Mesh adaptation for time-dependent simulation, optimization and control. Zbl 1018.76040
Mohammadi, Bijan; Hecht, Frédéric
3
2001
Mesh adaption for the Black and Scholes equations. Zbl 0995.91026
Pironneau, O.; Hecht, F.
18
2000
More pressure in the finite element discretization of the Stokes problem. Zbl 0992.76051
Bernardi, Christine; Hecht, Frédéric
2
2000
3D mesh adaptation by metric control for CFD. Zbl 0966.76054
Mohammadi, Bijan; George, Paul-Louis; Hecht, Frédéric; Saltel, Eric
2
2000
Mesh gradation control. Zbl 0944.76071
Borouchaki, Houman; Hecht, Frédéric; Frey, Pascal J.
27
1998
The generation of anisotropic grids. The minimization of the interpolation error. Zbl 0960.65533
Castro Díaz, M. J.; Hecht, F.
1
1998
Anisotropic unstructured mesh adaption for flow simulations. Zbl 0902.76057
Castro-Díaz, M. J.; Hecht, F.; Mohammadi, B.; Pironneau, O.
92
1997
Delaunay mesh generation governed by metric specifications. Part I: Algorithms. Zbl 0897.65076
Borouchaki, Houman; George, Paul Louis; Hecht, Frédéric; Laug, Patrick; Saltel, Eric
66
1997
Mixed finite element simulation of heterojunction structures including a boundary layer model for the quasi-Fermi levels. Zbl 0824.65136
Hecht, F.; Marrocco, A.
3
1994
Automatic mesh generator with specified boundary. Zbl 0756.65133
George, P. L.; Hecht, F.; Saltel, E.
53
1991
Creation of internal points in Voronoi’s type method. Control adaptation. Zbl 0754.65095
George, P. L.; Hecht, F.; Vallet, M. G.
12
1991
Fully automatic mesh generator for 3D domains of any shape. Zbl 0717.65095
George, P. L.; Hecht, F.; Saltel, E.
16
1990
Finite element solution of the shallow water equations by a quasi-direct decomposition procedure. Zbl 0554.76021
Goussebaile, J.; Hecht, F.; Labadie, G.; Reinhart, L.
3
1984
Use of divergence free basis in finite elements methods. Zbl 0547.76037
Hecht, Frédéric
1
1984
Construction d’une base de fonctions P1 non conforme à divergence nulle dans R3. Zbl 0471.76028
Hecht, F.
16
1981
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Cited by 1,066 Authors

20 Hecht, Frédéric
18 Bernardi, Christine
16 Alauzet, Frédéric
16 Ruiz-Baier, Ricardo
15 Gatica, Gabriel N.
14 Sayah, Toni
12 Danaila, Ionut
10 Chacón Rebollo, Tomás
10 Chorfi, Nejmeddine
10 Jiang, Yaolin
10 Yakoubi, Driss
9 Abdelwahed, Mohamed
8 Belhachmi, Zakaria
8 Borouchaki, Houman
8 Lo, Sai-Huen
8 Oyarzúa, Ricardo
7 Antoine, Xavier
7 Darmofal, David L.
7 Frey, Pascal Jean
7 Omnes, Pascal
6 George, Paul Louis
6 Loseille, Adrien
6 Mohammadi, Bijan
6 Nicaise, Serge
6 Perotto, Simona
6 Rubino, Samuele
6 Wang, Desheng
5 Béchet, Fabien
5 Chen, Jinru
5 Chen, Zhangxin
5 Company, Rafael
5 Fidkowski, Krzysztof J.
5 Girault, Vivette
5 Gómez Mármol, Macarena
5 Haiour, Mohamed
5 He, Xiaoming
5 Hou, Yanren
5 Löhner, Rainald
5 Maday, Yvon
5 Mghazli, Zoubida
5 Ruprecht, Daniel
5 Sadaka, Georges
5 Sanchez-Palencia, Évariste
5 Saramito, Pierre
5 Shephard, Mark S.
5 Tang, Qinglin
5 Walker, Shawn W.
5 Zheng, Yao
4 Alvarez, Mario M.
4 Bencheikh Le Hocine, Mohamed El Amine
4 Boulaaras, Salah Mahmoud
4 Dervieux, Alain
4 Guardone, Alberto
4 He, Yinnian
4 Huang, Pengzhan
4 Jódar Sanchez, Lucas Antonio
4 Jolivet, Pierre
4 Lee, Hyesuk Kwon
4 Li, Jian
4 Li, Rui
4 Merabet, Ismail
4 Miao, Zhen
4 Micheletti, Stefano
4 Millet, Olivier
4 Ouertani, Henda
4 Picasso, Marco
4 Pintos, José Ramón
4 Rapetti, Francesca
4 Re, Barbara
4 Roquet, Nicolas
4 Satouri, Jamil
4 Si, Hang
4 Song, Bo
4 Theljani, Anis
4 Weatherill, Nigel P.
4 Zhang, Lei
4 Zhang, Pingwen
3 Al Mahbub, Md. Abdullah
3 Anaya, Verónica
3 Aouadi, Saloua Mani
3 Belme, Anca
3 Ben Belgacem, Faker
3 Bi, Hai
3 Blouza, Adel
3 Bourgault, Yves
3 Chalhoub, Nancy
3 Chen, Guodong
3 Chen, Jianjun
3 Chung, Tsz Shun Eric
3 Coupez, Thierry
3 Daikh, Yasmina
3 Del Pino, Stéphane
3 Djoko, Jules K.
3 Dobrzynski, Cécile
3 El Zahlaniyeh, Rebecca
3 Ern, Alexandre
3 Ervin, Vincent J.
3 Fahs, Hassan
3 Gander, Martin Jakob
3 Gao, Yali
...and 966 more Authors
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Cited in 135 Serials

78 Journal of Computational Physics
56 Computer Methods in Applied Mechanics and Engineering
31 International Journal for Numerical Methods in Engineering
28 Journal of Scientific Computing
27 Computers & Mathematics with Applications
25 Journal of Computational and Applied Mathematics
19 SIAM Journal on Scientific Computing
16 Applied Numerical Mathematics
14 Computers and Fluids
13 Applied Mathematics and Computation
13 Numerical Methods for Partial Differential Equations
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 Computer Physics Communications
12 Mathematics of Computation
10 Mathematical Methods in the Applied Sciences
10 Numerische Mathematik
9 Calcolo
8 Advances in Computational Mathematics
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 International Journal for Numerical Methods in Fluids
7 Mathematics and Computers in Simulation
7 Applied Mathematical Modelling
6 Engineering Computations
6 Boundary Value Problems
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Numerical Algorithms
5 Computational Methods in Applied Mathematics
5 Advances in Applied Mathematics and Mechanics
4 Journal of Mathematical Analysis and Applications
4 SIAM Journal on Numerical Analysis
4 Mathematical and Computer Modelling
4 Numerical Linear Algebra with Applications
4 Engineering Analysis with Boundary Elements
4 Computing and Visualization in Science
4 International Journal of Computational Fluid Dynamics
4 Journal of Mathematical Fluid Mechanics
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Journal of Numerical Mathematics
4 International Journal of Numerical Analysis and Modeling
4 S\(\vec{\text{e}}\)MA Journal
3 Computational Mechanics
3 Applications of Mathematics
3 International Journal of Computer Mathematics
3 Journal of Non-Newtonian Fluid Mechanics
3 Computational and Applied Mathematics
3 Communications in Nonlinear Science and Numerical Simulation
3 Communications in Computational Physics
3 SMAI Journal of Computational Mathematics
2 Nonlinearity
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Applied Mathematics and Optimization
2 BIT
2 Computer Aided Geometric Design
2 Japan Journal of Industrial and Applied Mathematics
2 Journal of Mathematical Imaging and Vision
2 Communications in Numerical Methods in Engineering
2 Georgian Mathematical Journal
2 ETNA. Electronic Transactions on Numerical Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Acta Numerica
2 GAMM-Mitteilungen
2 Discrete and Continuous Dynamical Systems. Series S
1 Applicable Analysis
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Solids and Structures
1 Mathematical Biosciences
1 Chaos, Solitons and Fractals
1 ACM Transactions on Mathematical Software
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Computing
1 Journal of Differential Equations
1 Journal of Optimization Theory and Applications
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 SIAM Journal on Computing
1 SIAM Journal on Control and Optimization
1 Theoretical Computer Science
1 Parallel Computing
1 Constructive Approximation
1 Journal of Computer Science and Technology
1 Journal of Economic Dynamics & Control
1 SIAM Journal on Matrix Analysis and Applications
1 Engineering with Computers
1 Computational Mathematics and Modeling
1 Computational Mathematics and Mathematical Physics
1 Automation and Remote Control
1 Journal of Elasticity
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Indagationes Mathematicae. New Series
1 Physics of Fluids
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Journal of Inverse and Ill-Posed Problems
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Annals of Mathematics and Artificial Intelligence
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
...and 35 more Serials
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Cited in 38 Fields

531 Numerical analysis (65-XX)
320 Fluid mechanics (76-XX)
192 Partial differential equations (35-XX)
80 Mechanics of deformable solids (74-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
22 Classical thermodynamics, heat transfer (80-XX)
21 Computer science (68-XX)
20 Statistical mechanics, structure of matter (82-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Optics, electromagnetic theory (78-XX)
11 Geophysics (86-XX)
9 Approximations and expansions (41-XX)
8 Quantum theory (81-XX)
7 Ordinary differential equations (34-XX)
7 Integral equations (45-XX)
7 Probability theory and stochastic processes (60-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Operations research, mathematical programming (90-XX)
6 Information and communication theory, circuits (94-XX)
5 Functional analysis (46-XX)
5 Biology and other natural sciences (92-XX)
4 Operator theory (47-XX)
4 Convex and discrete geometry (52-XX)
3 Systems theory; control (93-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Geometry (51-XX)
2 Differential geometry (53-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)

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