zbMATH — the first resource for mathematics

Ern, Alexandre

Compute Distance To:
 Author ID: ern.alexandre Published as: Ern, A.; Ern, Alexandre
 Documents Indexed: 169 Publications since 1993, including 9 Books
all top 5

Co-Authors

 5 single-authored 21 Burman, Erik 21 Di Pietro, Daniele Antonio 19 Guermond, Jean-Luc 19 Vohralík, Martin 11 Giovangigli, Vincent 8 Lelièvre, Tony 8 Piperno, Serge 6 Cicuttin, Matteo 6 Doyen, David 5 Bonelle, Jérôme 5 El Alaoui, Linda 5 Smooke, Mitchell D. 4 Bongiovanni, Emmanuel 4 Casenave, Fabien 4 Glinsky-Olivier, Nathalie 4 Lemaire, Simon 4 Mozolevsky, Igor E. 4 Smears, Iain 3 Braack, Malte 3 Cantin, Pierre 3 Formaggia, Luca 3 Le Maître, Olivier P. 3 Mariotti, Christian 3 Monasse, Laurent 3 Perotto, Simona 3 Pignet, Nicolas 3 Proft, Jennifer 3 Schuh, L. I. A. 3 Stephansen, Annette F. 3 Tryoen, J. 2 Abbas, Mickaël 2 Achchab, Boujemaa 2 Calo, Victor Manuel 2 Cascavita, Karol L. 2 Chouly, Franz 2 Daniel, Patrik 2 Dolejší, Vít 2 Douglas, Craig C. 2 Ehrlacher, Virginie 2 El Fatini, Mohamed 2 Fernández, Miguel Ángel 2 Joubaud, Rémi 2 Meunier, Sébastien 2 Ndjinga, Michaël 2 Puscas, Maria Adela 2 Riedlbeck, Rita 2 Schieweck, Friedhelm 2 Souissi, Ali 2 Tenaud, Christian 2 Veneziani, Alessandro 1 Beirão da Veiga, Lourenço 1 Benaceur, Amina 1 Benoit, Michel 1 Bleyer, Jérémy 1 Boiveau, Thomas 1 Bouchut, François 1 Bourlioux, Anne 1 Caplain, Gilbert 1 Chalhoub, Nancy 1 Chateau, Xavier 1 Chaumont-Frelet, Théophile 1 Chazel, Florent 1 Cockburn, Bernardo 1 Contento, Lorenzo 1 Croisille, Jean-Pierre 1 Daru, Virginie 1 Debiane, L. 1 Delay, Guillaume 1 Deng, Quanling 1 Djadel, Karim 1 Dormieux, Luc 1 Droniou, Jéroôme 1 Duquennoi, Christian 1 Farin, Maxime 1 Granet, Sylvie 1 Gudi, Thirupathi 1 Guermond, J.-J. 1 Ivorra, Benjamin 1 Kazymyrenko, Kyrylo 1 Keyes, David Elliot 1 Linke, Alexander 1 Lusso, Christelle 1 Mangeney, Anne 1 Marazzato, Frédéric 1 Milani, Riccardo 1 Mohammadi, Bijan 1 Muga, Ignacio 1 Nicaise, Serge 1 Nicoud, Franck 1 Nouy, Anthony 1 Pitsch, Heinz 1 Poinsot, Thierry 1 Quartapelle, Luigi 1 Roche, Olivier 1 Rojas, Sergio 1 Rozza, Gianluigi 1 Sayah, Tony 1 Sochala, Pierre 1 Stamm, Benjamin 1 Sylvand, Guillaume ...and 9 more Co-Authors
all top 5

Serials

 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 SIAM Journal on Numerical Analysis 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Computer Methods in Applied Mechanics and Engineering 8 Journal of Computational Physics 8 SIAM Journal on Scientific Computing 7 IMA Journal of Numerical Analysis 6 Mathematics of Computation 5 Computational Methods in Applied Mathematics 4 Computers & Mathematics with Applications 3 Journal of Computational and Applied Mathematics 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 Combustion Theory and Modelling 3 Multiscale Modeling & Simulation 2 International Journal for Numerical Methods in Fluids 2 International Journal for Numerical Methods in Engineering 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Mathématiques & Applications (Berlin) 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Transport Theory and Statistical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Calcolo 1 Computer Aided Geometric Design 1 Journal of Computational Mathematics 1 Physica D 1 European Journal of Mechanics. B. Fluids 1 Communications in Partial Differential Equations 1 Linear Algebra and its Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Computational Optimization and Applications 1 Advances in Computational Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b 1 International Journal of Computational Fluid Dynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Theoretical and Applied Finance 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences 1 Journal of Numerical Mathematics 1 Communications in Mathematical Sciences 1 International Journal of Numerical Analysis and Modeling 1 Applied Mathematical Sciences 1 Lecture Notes in Physics. New Series m: Monographs 1 Texts in Applied Mathematics 1 Series in Contemporary Applied Mathematics CAM 1 Matapli 1 SEMA SIMAI Springer Series
all top 5

Fields

 130 Numerical analysis (65-XX) 81 Partial differential equations (35-XX) 62 Fluid mechanics (76-XX) 19 Mechanics of deformable solids (74-XX) 14 Classical thermodynamics, heat transfer (80-XX) 6 Functional analysis (46-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Geophysics (86-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Optics, electromagnetic theory (78-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations contained in zbMATH Open

136 Publications have been cited 2,803 times in 1,811 Documents Cited by Year
Theory and practice of finite elements. Zbl 1059.65103
Ern, Alexandre; Guermond, Jean-Luc
2004
Mathematical aspects of discontinuous Galerkin methods. Zbl 1231.65209
Di Pietro, Daniele Antonio; Ern, Alexandre
2012
A hybrid high-order locking-free method for linear elasticity on general meshes. Zbl 1423.74876
Di Pietro, Daniele A.; Ern, Alexandre
2015
An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Zbl 1304.65248
Di Pietro, Daniele A.; Ern, Alexandre; Lemaire, Simon
2014
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
2016
A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity. Zbl 1165.65074
Ern, Alexandre; Stephansen, Annette F.; Zunino, Paolo
2009
Continuous interior penalty $$hp$$-finite element methods for advection and advection-diffusion equations. Zbl 1118.65118
Burman, Erik; Ern, Alexandre
2007
Discontinuous Galerkin methods for Friedrichs’ systems. I: General theory. Zbl 1122.65111
Ern, A.; Guermond, J.-L.
2006
A posteriori control of modeling errors and discretization errors. Zbl 1050.65100
Braack, Malte; Ern, Alexandre
2003
Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations. Zbl 1312.76026
Ern, Alexandre; Vohralík, Martin
2015
Hybrid high-order methods for variable-diffusion problems on general meshes. Zbl 1308.65196
Di Pietro, Daniele A.; Ern, Alexandre
2015
Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs. Zbl 1362.65056
Ern, Alexandre; Vohralík, Martin
2013
Multicomponent transport algorithms. Zbl 0820.76002
Ern, Alexandre; Giovangigli, Vincent
1994
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems. Zbl 1190.65165
Ern, Alexandre; Stephansen, Annette F.; Vohralík, Martin
2010
Stabilized Galerkin approximation of convection-diffusion-reaction equations: Discrete maximum principle and convergence. Zbl 1078.65088
Burman, Erik; Ern, Alexandre
2005
Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems. Zbl 1197.65013
Tryoen, J.; Le Maître, O.; Ndjinga, M.; Ern, A.
2010
Discrete functional analysis tools for discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations. Zbl 1369.76024
Di Pietro, Daniele A.; Ern, Alexandre
2010
Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes. Zbl 1049.65128
Burman, Erik; Ern, Alexandre
2004
Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation. Zbl 1101.76354
Burman, Erik; Ern, Alexandre
2002
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
2017
A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying. Zbl 1142.76036
Ern, A.; Piperno, S.; Djadel, K.
2008
Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132
Bonelle, Jérôme; Ern, Alexandre
2014
Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures. Zbl 1231.76143
Ern, A.; Mozolevski, I.; Schuh, L.
2010
A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. Zbl 1457.65194
Di Pietro, Daniele A.; Droniou, Jéroôme; Ern, Alexandre
2015
Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems. Zbl 1230.65118
El Alaoui, Linda; Ern, Alexandre; Vohralík, Martin
2011
Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for first-order linear PDE systems. Zbl 1226.65086
Burman, Erik; Ern, Alexandre; Fernández, Miguel A.
2010
An accurate $$\mathbf H$$(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems. Zbl 1129.65085
Ern, Alexandre; Nicaise, Serge; Vohralík, Martin
2007
Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032
Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc
2008
A posteriori error estimation based on potential and flux reconstruction for the heat equation. Zbl 1215.65152
Ern, Alexandre; Vohralík, Martin
2010
Discontinuous Galerkin methods for Friedrichs’ systems. II: Second-order elliptic PDEs. Zbl 1133.65098
Ern, Alexandre; Guermond, Jean-Luc
2006
Thermal diffusion effects in hydrogen-air and methane-air flames. Zbl 0944.76092
Ern, Alexandre; Giovangigli, Vincent
1998
Fast and accurate multicomponent transport property evaluation. Zbl 0938.76097
Ern, Alexandre; Giovangigli, Vincent
1995
A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems. Zbl 1278.65138
Dolejší, Vít; Ern, Alexandre; Vohralík, Martin
2013
An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrich’ systems. Zbl 1118.47003
Ern, Alexandre; Guermond, Jean-Luc; Caplain, Gilbert
2007
Time-integration schemes for the finite element dynamic Signorini problem. Zbl 1315.74019
Doyen, David; Ern, Alexandre; Piperno, Serge
2011
Projective iterative algorithms with application to multicomponent transport. Zbl 0867.65017
Ern, Alexandre; Giovangigli, Vincent
1997
Towards polyalgorithmic linear system solvers for nonlinear elliptic problems. Zbl 0807.65027
Ern, Alexandre; Giovangigli, Vincent; Keyes, David E.; Smooke, Mitchell D.
1994
Flux reconstruction and a posteriori error estimation for discontinuous Galerkin methods on general nonmatching grids. Zbl 1161.65085
Ern, Alexandre; Vohralík, Martin
2009
Evaluation of the condition number in linear systems arising in finite element approximations. Zbl 1149.65306
Ern, Alexandre; Guermond, Jean-Luc
2006
Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes. Zbl 1433.65285
Di Pietro, Daniele A.; Ern, Alexandre
2017
Adaptive anisotropic spectral stochastic methods for uncertain scalar conservation laws. Zbl 1273.35330
Tryoen, J.; Le Maître, O.; Ern, A.
2012
Analysis of compatible discrete operator schemes for the Stokes equations on polyhedral meshes. Zbl 1329.76249
Bonelle, Jérôme; Ern, Alexandre
2015
A priori and a posteriori analysis of non-conforming finite elements with face penalty for advection-diffusion equations. Zbl 1112.65109
El Alaoui, L.; Ern, A.; Burman, E.
2007
A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations. Zbl 1084.65092
Ern, Alexandre; Proft, Jennifer
2005
A review of hybrid high-order methods: formulations, computational aspects, comparison with other methods. Zbl 1357.65258
Di Pietro, Daniele A.; Ern, Alexandre; Lemaire, Simon
2016
$$hp$$-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems. Zbl 1351.65082
Dolejší, Vít; Ern, Alexandre; Vohralík, Martin
2016
Éléments finis: théorie, applications, mise en œuvre. Zbl 0993.65123
Ern, Alexandre; Guermond, Jean-Luc
2002
Hierarchical local model reduction for elliptic problems: A domain decomposition approach. Zbl 1206.65251
Perotto, Simona; Ern, Alexandre; Veneziani, Alessandro
2010
Discontinuous Galerkin methods for Friedrichs’ systems. Part III. Multifield theories with partial coercivity. Zbl 1179.65145
Ern, Alexandre; Guermond, Jean-Luc
2008
A posteriori energy-norm error estimates for advection-diffusion equations approximated by weighted interior penalty methods. Zbl 1174.65034
Ern, Alexandre; Stephansen, Annette F.
2008
Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian. Zbl 1152.65073
Burman, Erik; Ern, Alexandre
2008
Mass conservative BDF-discontinuous Galerkin/explicit finite volume schemes for coupling subsurface and overland flows. Zbl 1227.76045
Sochala, P.; Ern, A.; Piperno, S.
2009
Vorticity-velocity formulation for three-dimensional steady compressible flows. Zbl 0783.76059
Ern, A.; Smooke, M. D.
1993
Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. Zbl 06910458
Cicuttin, M.; Di Pietro, D. A.; Ern, A.
2018
Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems. Zbl 1378.65165
Ern, Alexandre; Smears, Iain; VohralÍk, Martin
2017
Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041
Ern, Alexandre; Guermond, Jean-Luc
2016
Weighting the edge stabilization. Zbl 1280.65095
Ern, Alexandre; Guermond, Jean-Luc
2013
Roe solver with entropy corrector for uncertain hyperbolic systems. Zbl 1197.65129
Tryoen, J.; Le Maître, O.; Ndjinga, M.; Ern, A.
2010
A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems. Zbl 1166.76036
Ern, Alexandre; Meunier, Sébastien
2009
Hierarchical model reduction for advection-diffusion-reaction problems. Zbl 1157.65487
Ern, A.; Perotto, S.; Veneziani, A.
2008
Coupling multimodelling with local mesh refinement for the numerical computation of laminar flames. Zbl 1068.80534
Braack, Malte; Ern, Alexandre
2004
A double-layer Boussinesq-type model for highly nonlinear and dispersive waves. Zbl 1186.35156
Chazel, F.; Benoit, M.; Ern, A.; Piperno, S.
2009
Accurate velocity reconstruction for discontinuous Galerkin approximations of two-phase porous medium flows. Zbl 1162.76027
Ern, Alexandre; Mozolevski, Igor; Schuh, L.
2009
Nonconforming finite element methods with subgrid viscosity applied to advection-diffusion-reaction equations. Zbl 1104.65110
El Alaoui, Linda; Ern, Alexandre
2006
Residual and hierarchical a posteriori error estimates for nonconforming mixed finite element methods. Zbl 1077.65113
El Alaoui, Linda; Ern, Alexandre
2004
A low-complexity global optimization algorithm for temperature and pollution control in flames with complex chemistry. Zbl 1184.76829
Debiane, L.; Ivorra, B.; Mohammadi, B.; Nicoud, F.; Poinsot, T.; Ern, A.; Pitsch, H.
2006
Spectral approximation of elliptic operators by the hybrid high-order method. Zbl 1422.65359
Calo, Victor; Cicuttin, Matteo; Deng, Quanling; Ern, Alexandre
2019
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068
Ern, Alexandre; Guermond, Jean-Luc
2018
Four closely related equilibrated flux reconstructions for nonconforming finite elements. Zbl 1261.65117
Ern, Alexandre; Vohralík, Martin
2013
Volume viscosity of dilute polyatomic gas mixtures. Zbl 0869.76075
Ern, Alexandre; Giovangigli, Vincent
1995
An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201
Burman, Erik; Ern, Alexandre
2018
Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem. Zbl 1398.76097
Burman, Erik; Ern, Alexandre; Fernández, Miguel A.
2017
Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes. Zbl 1417.65197
Bonelle, Jérôme; Di Pietro, Daniele A.; Ern, Alexandre
2015
A nonintrusive reduced basis method applied to aeroacoustic simulations. Zbl 1338.76049
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
2015
Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions. Zbl 1267.65178
Di Pietro, Daniele A.; Ern, Alexandre
2012
Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes. Zbl 1245.35125
Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony
2012
The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders $$p \geqslant 2$$. Zbl 1128.65061
Burman, Erik; Ern, Alexandre; Mozolevski, Igor; Stamm, Benjamin
2007
Discrete $$p$$-robust $$\boldsymbol H(\mathrm{div})$$-liftings and a posteriori estimates for elliptic problems with $$H^{-1}$$ source terms. Zbl 1378.65173
Ern, Alexandre; Smears, Iain; Vohralík, Martin
2017
Bunsen flame simulation by finite elements on adaptively refined, unstructured triangulations. Zbl 1068.80536
Burman, Erik; Ern, Alexandre; Giovangigli, Vincent
2004
Numerical study of a three-dimensional chemical vapor deposition reactor with detailed chemistry. Zbl 0853.76091
Ern, Alexandre; Giovangigli, Vincent; Smooke, Mitchell D.
1996
Hybrid high-order methods for finite deformations of hyperelastic materials. Zbl 06980145
Abbas, Mickaël; Ern, Alexandre; Pignet, Nicolas
2018
Stress and flux reconstruction in Biot’s poro-elasticity problem with application to a posteriori error analysis. Zbl 1370.76086
Riedlbeck, Rita; Di Pietro, Daniele A.; Ern, Alexandre; Granet, Sylvie; Kazymyrenko, Kyrylo
2017
A discontinuous skeletal method for the viscosity-dependent Stokes problem. Zbl 1436.76022
Di Pietro, Daniele A.; Ern, Alexandre; Linke, Alexander; Schieweck, Friedhelm
2016
Accurate and online-efficient evaluation of the a posteriori error bound in the reduced basis method. Zbl 1288.65157
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
2014
Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123
Burman, Erik; Ern, Alexandre
2012
A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations. Zbl 1173.65350
Achchab, B.; El Fatini, M.; Ern, A.; Souissi, A.
2009
Continuous interior penalty $$hp$$-finite element methods for transport operators. Zbl 1119.65406
Burman, Erik; Ern, Alexandre
2006
The discrete maximum principle for stabilized finite element methods. Zbl 1043.65113
Burman, E.; Ern, A.
2003
Vorticity-velocity formulations of the Stokes problem in 3D. Zbl 0939.35144
Ern, A.; Guermond, J.-J.; Quartapelle, L.
1999
Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. Zbl 1375.74020
Lusso, Christelle; Ern, Alexandre; Bouchut, François; Mangeney, Anne; Farin, Maxime; Roche, Olivier
2017
Preface. Zbl 1349.00239
Beirão da Veiga, L. (ed.); Ern, A. (ed.)
2016
Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs. Zbl 1416.65348
Ern, Alexandre; Schieweck, Friedhelm
2016
Equilibrated tractions for the hybrid high-order method. Zbl 1310.65143
Di Pietro, Daniele A.; Ern, Alexandre
2015
Convergence of a space semi-discrete modified mass method for the dynamic Signorini problem. Zbl 1245.74045
Doyen, D.; Ern, A.
2009
Discontinuous Galerkin methods for Friedrichs’ systems. Zbl 1119.65408
Ern, Alexandre; Guermond, Jean-Luc
2006
An adaptive finite element method with crosswind diffusion for low Mach, steady, laminar combustion. Zbl 1025.80002
Burman, Erik; Ern, Alexandre; Giovangigli, Vincent
2003
Stable broken $$H^1$$ and $$H(\operatorname{div})$$ polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions. Zbl 1434.65253
Ern, Alexandre; Vohralík, Martin
2020
An adaptive $$hp$$-refinement strategy with computable guaranteed bound on the error reduction factor. Zbl 1427.65356
Daniel, Patrik; Ern, Alexandre; Smears, Iain; Vohralík, Martin
2018
A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization. Zbl 1368.65248
Cantin, Pierre; Bonelle, Jérôme; Burman, Erik; Ern, Alexandre
2016
A converse to Fortin’s lemma in Banach spaces. Zbl 1387.47004
Ern, Alexandre; Guermond, Jean-Luc
2016
Stable broken $$H^1$$ and $$H(\operatorname{div})$$ polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions. Zbl 1434.65253
Ern, Alexandre; Vohralík, Martin
2020
An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms. Zbl 1436.65173
Calo, Victor M.; Ern, Alexandre; Muga, Ignacio; Rojas, Sergio
2020
Finite Elements I. Approximation and interpolation. Zbl 07258486
Ern, Alexandre; Guermond, Jean-Luc
2020
An adaptive $$hp$$-refinement strategy with inexact solvers and computable guaranteed bound on the error reduction factor. Zbl 1441.65095
Daniel, Patrik; Ern, Alexandre; Vohralík, Martin
2020
Spectral approximation of elliptic operators by the hybrid high-order method. Zbl 1422.65359
Calo, Victor; Cicuttin, Matteo; Deng, Quanling; Ern, Alexandre
2019
A hybrid high-order method for incremental associative plasticity with small deformations. Zbl 1440.74368
Abbas, Mickaël; Ern, Alexandre; Pignet, Nicolas
2019
A hybrid high-order method for highly oscillatory elliptic problems. Zbl 1434.65246
Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon
2019
Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. Zbl 06910458
Cicuttin, M.; Di Pietro, D. A.; Ern, A.
2018
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068
Ern, Alexandre; Guermond, Jean-Luc
2018
An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201
Burman, Erik; Ern, Alexandre
2018
Hybrid high-order methods for finite deformations of hyperelastic materials. Zbl 06980145
Abbas, Mickaël; Ern, Alexandre; Pignet, Nicolas
2018
An adaptive $$hp$$-refinement strategy with computable guaranteed bound on the error reduction factor. Zbl 1427.65356
Daniel, Patrik; Ern, Alexandre; Smears, Iain; Vohralík, Martin
2018
Abstract nonconforming error estimates and application to boundary penalty methods for diffusion equations and time-harmonic Maxwell’s equations. Zbl 1401.65132
Ern, Alexandre; Guermond, Jean-Luc
2018
A progressive reduced basis/empirical interpolation method for nonlinear parabolic problems. Zbl 1397.65180
Benaceur, Amina; Ehrlacher, Virginie; Ern, Alexandre; Meunier, Sébastien
2018
Hybrid discretization methods with adaptive yield surface detection for Bingham pipe flows. Zbl 1407.65141
Cascavita, Karol L.; Bleyer, Jérémy; Chateau, Xavier; Ern, Alexandre
2018
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
2017
Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes. Zbl 1433.65285
Di Pietro, Daniele A.; Ern, Alexandre
2017
Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems. Zbl 1378.65165
Ern, Alexandre; Smears, Iain; VohralÍk, Martin
2017
Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem. Zbl 1398.76097
Burman, Erik; Ern, Alexandre; Fernández, Miguel A.
2017
Discrete $$p$$-robust $$\boldsymbol H(\mathrm{div})$$-liftings and a posteriori estimates for elliptic problems with $$H^{-1}$$ source terms. Zbl 1378.65173
Ern, Alexandre; Smears, Iain; Vohralík, Martin
2017
Stress and flux reconstruction in Biot’s poro-elasticity problem with application to a posteriori error analysis. Zbl 1370.76086
Riedlbeck, Rita; Di Pietro, Daniele A.; Ern, Alexandre; Granet, Sylvie; Kazymyrenko, Kyrylo
2017
Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. Zbl 1375.74020
Lusso, Christelle; Ern, Alexandre; Bouchut, François; Mangeney, Anne; Farin, Maxime; Roche, Olivier
2017
An edge-based scheme on polyhedral meshes for vector advection-reaction equations. Zbl 1402.65151
Cantin, Pierre; Ern, Alexandre
2017
Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis. Zbl 1390.74187
Riedlbeck, Rita; Di Pietro, Daniele A.; Ern, Alexandre
2017
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
2016
A review of hybrid high-order methods: formulations, computational aspects, comparison with other methods. Zbl 1357.65258
Di Pietro, Daniele A.; Ern, Alexandre; Lemaire, Simon
2016
$$hp$$-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems. Zbl 1351.65082
Dolejší, Vít; Ern, Alexandre; Vohralík, Martin
2016
Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041
Ern, Alexandre; Guermond, Jean-Luc
2016
A discontinuous skeletal method for the viscosity-dependent Stokes problem. Zbl 1436.76022
Di Pietro, Daniele A.; Ern, Alexandre; Linke, Alexander; Schieweck, Friedhelm
2016
Preface. Zbl 1349.00239
Beirão da Veiga, L. (ed.); Ern, A. (ed.)
2016
Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs. Zbl 1416.65348
Ern, Alexandre; Schieweck, Friedhelm
2016
A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization. Zbl 1368.65248
Cantin, Pierre; Bonelle, Jérôme; Burman, Erik; Ern, Alexandre
2016
A converse to Fortin’s lemma in Banach spaces. Zbl 1387.47004
Ern, Alexandre; Guermond, Jean-Luc
2016
Vertex-based compatible discrete operator schemes on polyhedral meshes for advection-diffusion equations. Zbl 1336.65184
Cantin, Pierre; Ern, Alexandre
2016
Variants of the empirical interpolation method: symmetric formulation, choice of norms and rectangular extension. Zbl 1337.65014
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
2016
A hybrid high-order locking-free method for linear elasticity on general meshes. Zbl 1423.74876
Di Pietro, Daniele A.; Ern, Alexandre
2015
Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations. Zbl 1312.76026
Ern, Alexandre; Vohralík, Martin
2015
Hybrid high-order methods for variable-diffusion problems on general meshes. Zbl 1308.65196
Di Pietro, Daniele A.; Ern, Alexandre
2015
A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. Zbl 1457.65194
Di Pietro, Daniele A.; Droniou, Jéroôme; Ern, Alexandre
2015
Analysis of compatible discrete operator schemes for the Stokes equations on polyhedral meshes. Zbl 1329.76249
Bonelle, Jérôme; Ern, Alexandre
2015
Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes. Zbl 1417.65197
Bonelle, Jérôme; Di Pietro, Daniele A.; Ern, Alexandre
2015
A nonintrusive reduced basis method applied to aeroacoustic simulations. Zbl 1338.76049
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
2015
Equilibrated tractions for the hybrid high-order method. Zbl 1310.65143
Di Pietro, Daniele A.; Ern, Alexandre
2015
A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure. Zbl 1352.76075
Puscas, Maria Adela; Monasse, Laurent; Ern, Alexandre; Tenaud, Christian; Mariotti, Christian; Daru, Virginie
2015
A linear-time approximate convex envelope algorithm using the double Legendre-Fenchel transform with application to phase separation. Zbl 1320.90079
Contento, Lorenzo; Ern, Alexandre; Vermiglio, Rossana
2015
An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Zbl 1304.65248
Di Pietro, Daniele A.; Ern, Alexandre; Lemaire, Simon
2014
Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132
Bonelle, Jérôme; Ern, Alexandre
2014
Accurate and online-efficient evaluation of the a posteriori error bound in the reduced basis method. Zbl 1288.65157
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
2014
Coupled BEM-FEM for the convected Helmholtz equation with non-uniform flow in a bounded domain. Zbl 1349.76184
Casenave, Fabien; Ern, Alexandre; Sylvand, Guillaume
2014
Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs. Zbl 1362.65056
Ern, Alexandre; Vohralík, Martin
2013
A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems. Zbl 1278.65138
Dolejší, Vít; Ern, Alexandre; Vohralík, Martin
2013
Weighting the edge stabilization. Zbl 1280.65095
Ern, Alexandre; Guermond, Jean-Luc
2013
Four closely related equilibrated flux reconstructions for nonconforming finite elements. Zbl 1261.65117
Ern, Alexandre; Vohralík, Martin
2013
Quasi-explicit time-integration schemes for dynamic fracture with set-valued cohesive zone models. Zbl 1319.74024
Doyen, D.; Ern, A.; Piperno, S.
2013
Mathematical aspects of discontinuous Galerkin methods. Zbl 1231.65209
Di Pietro, Daniele Antonio; Ern, Alexandre
2012
Adaptive anisotropic spectral stochastic methods for uncertain scalar conservation laws. Zbl 1273.35330
Tryoen, J.; Le Maître, O.; Ern, A.
2012
Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions. Zbl 1267.65178
Di Pietro, Daniele A.; Ern, Alexandre
2012
Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes. Zbl 1245.35125
Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony
2012
Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123
Burman, Erik; Ern, Alexandre
2012
Corrigendum to “Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures”. Zbl 1354.76104
Ern, A.; Mozolevski, I.; Schuh, L.
2012
Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems. Zbl 1230.65118
El Alaoui, Linda; Ern, Alexandre; Vohralík, Martin
2011
Time-integration schemes for the finite element dynamic Signorini problem. Zbl 1315.74019
Doyen, David; Ern, Alexandre; Piperno, Serge
2011
A unified framework for a posteriori error estimation in elliptic and parabolic problems with application to finite volumes. Zbl 1246.65162
Ern, Alexandre; Vohralıḱ, Martin
2011
Analysis of the modified mass method for the dynamic Signorini problem with Coulomb friction. Zbl 1298.74179
Doyen, David; Ern, Alexandre
2011
Numerical study of a thin liquid film flowing down an inclined wavy plane. Zbl 1366.76011
Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony
2011
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems. Zbl 1190.65165
Ern, Alexandre; Stephansen, Annette F.; Vohralík, Martin
2010
Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems. Zbl 1197.65013
Tryoen, J.; Le Maître, O.; Ndjinga, M.; Ern, A.
2010
Discrete functional analysis tools for discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations. Zbl 1369.76024
Di Pietro, Daniele A.; Ern, Alexandre
2010
Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures. Zbl 1231.76143
Ern, A.; Mozolevski, I.; Schuh, L.
2010
Explicit Runge-Kutta schemes and finite elements with symmetric stabilization for first-order linear PDE systems. Zbl 1226.65086
Burman, Erik; Ern, Alexandre; Fernández, Miguel A.
2010
A posteriori error estimation based on potential and flux reconstruction for the heat equation. Zbl 1215.65152
Ern, Alexandre; Vohralík, Martin
2010
Hierarchical local model reduction for elliptic problems: A domain decomposition approach. Zbl 1206.65251
Perotto, Simona; Ern, Alexandre; Veneziani, Alessandro
2010
Roe solver with entropy corrector for uncertain hyperbolic systems. Zbl 1197.65129
Tryoen, J.; Le Maître, O.; Ndjinga, M.; Ern, A.
2010
A posteriori error estimation for subgrid flamelet models. Zbl 1407.76041
Bourlioux, Anne; Ern, Alexandre; Turbis, Pascal
2010
A three-field augmented Lagrangian formulation of unilateral contact problems with cohesive forces. Zbl 1192.74355
Doyen, David; Ern, Alexandre; Piperno, Serge
2010
A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity. Zbl 1165.65074
Ern, Alexandre; Stephansen, Annette F.; Zunino, Paolo
2009
Flux reconstruction and a posteriori error estimation for discontinuous Galerkin methods on general nonmatching grids. Zbl 1161.65085
Ern, Alexandre; Vohralík, Martin
2009
Mass conservative BDF-discontinuous Galerkin/explicit finite volume schemes for coupling subsurface and overland flows. Zbl 1227.76045
Sochala, P.; Ern, A.; Piperno, S.
2009
A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems. Zbl 1166.76036
Ern, Alexandre; Meunier, Sébastien
2009
A double-layer Boussinesq-type model for highly nonlinear and dispersive waves. Zbl 1186.35156
Chazel, F.; Benoit, M.; Ern, A.; Piperno, S.
2009
Accurate velocity reconstruction for discontinuous Galerkin approximations of two-phase porous medium flows. Zbl 1162.76027
Ern, Alexandre; Mozolevski, Igor; Schuh, L.
2009
A posteriori error estimates for subgrid viscosity stabilized approximations of convection-diffusion equations. Zbl 1173.65350
Achchab, B.; El Fatini, M.; Ern, A.; Souissi, A.
2009
Convergence of a space semi-discrete modified mass method for the dynamic Signorini problem. Zbl 1245.74045
Doyen, D.; Ern, A.
2009
A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying. Zbl 1142.76036
Ern, A.; Piperno, S.; Djadel, K.
2008
Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032
Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc
2008
Discontinuous Galerkin methods for Friedrichs’ systems. Part III. Multifield theories with partial coercivity. Zbl 1179.65145
Ern, Alexandre; Guermond, Jean-Luc
2008
A posteriori energy-norm error estimates for advection-diffusion equations approximated by weighted interior penalty methods. Zbl 1174.65034
Ern, Alexandre; Stephansen, Annette F.
2008
Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian. Zbl 1152.65073
Burman, Erik; Ern, Alexandre
2008
Hierarchical model reduction for advection-diffusion-reaction problems. Zbl 1157.65487
Ern, A.; Perotto, S.; Veneziani, A.
2008
A discontinuous Galerkin flux for anisotropic heterogeneous second-order elliptic problems. Zbl 1422.65382
Di Pietro, Daniele A.; Ern, Alexandre
2008
Adaptive mesh for algebraic orthogonal subscale stabilization of convective dispersive transport. Zbl 1154.65080
Achchab, Boujemaâ; El Fatini, Mohamed; Ern, Alexandre; Souissi, A.
2008
Continuous interior penalty $$hp$$-finite element methods for advection and advection-diffusion equations. Zbl 1118.65118
Burman, Erik; Ern, Alexandre
2007
An accurate $$\mathbf H$$(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems. Zbl 1129.65085
Ern, Alexandre; Nicaise, Serge; Vohralík, Martin
2007
An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrich’ systems. Zbl 1118.47003
Ern, Alexandre; Guermond, Jean-Luc; Caplain, Gilbert
2007
A priori and a posteriori analysis of non-conforming finite elements with face penalty for advection-diffusion equations. Zbl 1112.65109
El Alaoui, L.; Ern, A.; Burman, E.
2007
The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders $$p \geqslant 2$$. Zbl 1128.65061
Burman, Erik; Ern, Alexandre; Mozolevski, Igor; Stamm, Benjamin
2007
A continuous finite element method with face penalty to approximate Friedrichs’ systems. Zbl 1129.65083
Burman, Erik; Ern, Alexandre
2007
Adaptive models for polymeric fluid flow simulation. Zbl 1111.76004
Ern, Alexandre; Lelièvre, Tony
2007
Finite element evaluation of diffusion and dispersion tensors in periodic porous media with advection. Zbl 1168.76338
Tardif d’Hamonville, P.; Ern, A.; Dormieux, L.
2007
Discontinuous Galerkin methods for Friedrichs’ systems. I: General theory. Zbl 1122.65111
Ern, A.; Guermond, J.-L.
2006
...and 36 more Documents
all top 5

Cited by 2,518 Authors

 77 Ern, Alexandre 50 Burman, Erik 49 Di Pietro, Daniele Antonio 42 Vohralík, Martin 21 Guermond, Jean-Luc 21 Salgado, Abner J. 19 Badia, Santiago 19 Beirão da Veiga, Lourenço 18 Antonietti, Paola Francesca 18 Barrenechea, Gabriel R. 18 Droniou, Jérôme 17 Giovangigli, Vincent 17 Larson, Mats G. 17 Otárola, Enrique 15 Hansbo, Peter 15 Quarteroni, Alfio M. 14 Georgoulis, Emmanuil H. 14 Linke, Alexander 14 Manzini, Gianmarco 13 Codina, Ramon 13 Smooke, Mitchell D. 13 Verani, Marco 12 Giani, Stefano 12 Langer, Ulrich 12 Renard, Yves 12 Rivière, Beatrice M. 11 Mora, David 11 Stamm, Benjamin 11 Valentin, Frédéric 11 Van Brummelen, Harald 11 Wick, Thomas 11 Ye, Xiu 10 Becker, Roland 10 Carstensen, Carsten 10 Chouly, Franz 10 John, Volker 10 Mu, Lin 10 Peterseim, Daniel 10 Ruiz-Baier, Ricardo 10 Schwab, Christoph 9 Ainsworth, Mark 9 Allendes, Alejandro 9 Botti, Lorenzo 9 Ciarlet, Patrick jun. 9 Dolejší, Vít 9 Guillén González, Francisco M. 9 Houston, Paul 9 Ivorra, Benjamin 9 Korotov, Sergey 9 Lehrenfeld, Christoph 9 Lipnikov, Konstantin N. 9 Maday, Yvon 9 Massing, André 9 Nicaise, Serge 9 Oyarzúa, Ricardo 9 Park, Eun-Jae 9 Perotto, Simona 9 Russo, Alessandro 9 Zhao, Lina 9 Zunino, Paolo 8 Abgrall, Rémi 8 Bennett, Beth Anne V. 8 Bernardi, Christine 8 Braack, Malte 8 Burazin, Krešimir 8 Cancès, Clément 8 Cangiani, Andrea 8 Cockburn, Bernardo 8 Eymard, Robert 8 Formaggia, Luca 8 Gatica, Gabriel N. 8 Gutiérrez-Santacreu, Juan Vicente 8 Lube, Gert 8 Marche, Fabien 8 Nochetto, Ricardo Horacio 8 Ovall, Jeffrey S. 8 Ramos, Angel Manuel 8 Scovazzi, Guglielmo 8 Shu, Chi-Wang 8 Toulopoulos, Ioannis 8 Veneziani, Alessandro 8 Wheeler, Mary Fanett 8 Wihler, Thomas Pascal 8 Yuan, Guangwei 8 Zhang, Shangyou 7 Achchab, Boujemaa 7 Antonić, Nenad 7 Araya, Rodolfo A. 7 Bochev, Pavel B. 7 Botti, Michele 7 Calo, Victor Manuel 7 Fernández, Miguel Ángel 7 Fu, Guosheng 7 Gallouët, Thierry 7 Guzmán, Johnny 7 Herbin, Raphaèle 7 Jin, Bangti 7 Lazarov, Raytcho D. 7 Le Maître, Olivier P. 7 Lelièvre, Tony ...and 2,418 more Authors
all top 5

Cited in 194 Serials

 225 Computer Methods in Applied Mechanics and Engineering 155 Journal of Computational Physics 120 Journal of Scientific Computing 100 SIAM Journal on Numerical Analysis 86 SIAM Journal on Scientific Computing 82 Journal of Computational and Applied Mathematics 80 Computers & Mathematics with Applications 75 Numerische Mathematik 72 Mathematics of Computation 59 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 41 Applied Numerical Mathematics 32 Computers and Fluids 31 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 28 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Computational Methods in Applied Mathematics 25 Computational Geosciences 23 Numerical Methods for Partial Differential Equations 22 Applied Mathematics and Computation 20 International Journal for Numerical Methods in Engineering 19 Calcolo 18 Combustion Theory and Modelling 17 Computational Mechanics 14 Advances in Computational Mathematics 11 International Journal for Numerical Methods in Fluids 11 Journal of Fluid Mechanics 10 Applied Mathematical Modelling 9 Archives of Computational Methods in Engineering 9 Journal of Numerical Mathematics 8 BIT 8 Mathematics and Computers in Simulation 8 Applied Mathematics Letters 8 SMAI Journal of Computational Mathematics 7 Journal of Mathematical Analysis and Applications 7 Computational and Applied Mathematics 7 Multiscale Modeling & Simulation 7 SIAM/ASA Journal on Uncertainty Quantification 6 ETNA. Electronic Transactions on Numerical Analysis 6 Acta Numerica 5 Numerical Algorithms 5 Computational Optimization and Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Kinetic and Related Models 4 Mathematical Methods in the Applied Sciences 4 SIAM Journal on Control and Optimization 4 Japan Journal of Industrial and Applied Mathematics 4 Applications of Mathematics 4 Linear Algebra and its Applications 4 Physics of Fluids 4 Mathematical Problems in Engineering 4 International Journal of Computational Fluid Dynamics 4 European Journal of Mechanics. B. Fluids 4 Nonlinear Analysis. Real World Applications 4 Foundations of Computational Mathematics 4 SIAM Journal on Imaging Sciences 4 S$$\vec{\text{e}}$$MA Journal 3 Journal of Optimization Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Chinese Annals of Mathematics. Series B 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Mathematical Imaging and Vision 3 Numerical Linear Algebra with Applications 3 Discrete and Continuous Dynamical Systems 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Flow, Turbulence and Combustion 3 Inverse Problems and Imaging 3 Science China. Mathematics 3 Evolution Equations and Control Theory 2 Fluid Dynamics 2 International Journal of Heat and Mass Transfer 2 Inverse Problems 2 Transport Theory and Statistical Physics 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Differential Equations 2 Applied Mathematics and Mechanics. (English Edition) 2 Physica D 2 Mathematical and Computer Modelling 2 International Journal of Computer Mathematics 2 SIAM Review 2 SIAM Journal on Optimization 2 Continuum Mechanics and Thermodynamics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Journal of Inverse and Ill-Posed Problems 2 Engineering Analysis with Boundary Elements 2 Computing and Visualization in Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Applied Mathematics and Computer Science 2 Communications on Pure and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 SIAM Journal on Applied Dynamical Systems 2 Central European Journal of Mathematics 2 International Journal of Numerical Analysis and Modeling 2 Networks and Heterogeneous Media 2 GEM - International Journal on Geomathematics 2 International Journal of Advances in Engineering Sciences and Applied Mathematics 2 Journal of Applied Analysis and Computation 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys ...and 94 more Serials
all top 5

Cited in 41 Fields

 1,454 Numerical analysis (65-XX) 751 Partial differential equations (35-XX) 674 Fluid mechanics (76-XX) 234 Mechanics of deformable solids (74-XX) 81 Classical thermodynamics, heat transfer (80-XX) 66 Optics, electromagnetic theory (78-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 45 Biology and other natural sciences (92-XX) 43 Geophysics (86-XX) 40 Statistical mechanics, structure of matter (82-XX) 33 Probability theory and stochastic processes (60-XX) 24 Ordinary differential equations (34-XX) 20 Functional analysis (46-XX) 18 Operator theory (47-XX) 18 Computer science (68-XX) 15 Operations research, mathematical programming (90-XX) 11 Approximations and expansions (41-XX) 11 Statistics (62-XX) 11 Systems theory; control (93-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Integral equations (45-XX) 8 Real functions (26-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Mechanics of particles and systems (70-XX) 6 Potential theory (31-XX) 4 Combinatorics (05-XX) 4 Special functions (33-XX) 4 Quantum theory (81-XX) 4 Relativity and gravitational theory (83-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1