Edit Profile (opens in new tab) Ern, Alexandre Co-Author Distance Author ID: ern.alexandre Published as: Ern, Alexandre; Ern, A.; Ern, Alexndre more...less Homepage: http://cermics.enpc.fr/~ern/ External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 199 Publications since 1993, including 8 Books and 5 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 123 Co-Authors with 200 Joint Publications 2,963 Co-Co-Authors all top 5 Co-Authors 5 single-authored 29 Burman, Erik 23 Guermond, Jean-Luc 23 Vohralík, Martin 21 Di Pietro, Daniele Antonio 11 Giovangigli, Vincent 9 Lelièvre, Tony 8 Piperno, Serge 7 Cicuttin, Matteo 6 Bonelle, Jérôme 6 Delay, Guillaume 6 Doyen, David 5 Casenave, Fabien 5 Chaumont-Frelet, Théophile 5 El Alaoui, Linda 5 Lemaire, Simon 5 Monasse, Laurent 5 Pignet, Nicolas 5 Smears, Iain 5 Smooke, Mitchell D. 4 Bongiovanni, Emmanuel 4 Dong, Zhaonan 4 Ehrlacher, Virginie 4 Glinsky-Olivier, Nathalie 4 Mozolevsky, Igor E. 3 Braack, Malte 3 Cantin, Pierre 3 Durán, Omar 3 Formaggia, Luca 3 Le Maître, Olivier P. 3 Marazzato, Frédéric 3 Mariotti, Christian 3 Perotto, Simona 3 Proft, Jennifer 3 Stephansen, Annette F. 3 Tryoen, J. 2 Abbas, Mickaël 2 Achchab, Boujemaa 2 Bouchut, François 2 Calo, Victor Manuel 2 Carstensen, Carsten 2 Cascavita, Karol L. 2 Chouly, Franz 2 Daniel, Patrik 2 Deng, Quanling 2 Dolejší, Vít 2 Douglas, Craig C. 2 Drouet, Guillaume 2 El Fatini, Mohamed 2 Fernández, Miguel Ángel 2 Gudi, Thirupathi 2 Hédin, Florent 2 Joubaud, Rémi 2 Lusso, Christelle 2 Mangeney, Anne 2 Meunier, Sébastien 2 Milani, Riccardo 2 Ndjinga, Michaël 2 Niakh, Idrissa 2 Pichot, Géraldine 2 Puscas, Maria Adela 2 Riedlbeck, Rita 2 Schieweck, Friedhelm 2 Souissi, Ali 2 Steins, Morgane 2 Sylvand, Guillaume 2 Tenaud, Christian 2 Veneziani, Alessandro 1 Beirão da Veiga, Lourenço 1 Benaceur, Amina 1 Benoit, Michel 1 Bertrand, Fleurianne 1 Bleyer, Jérémy 1 Boffi, Daniele 1 Boiveau, Thomas 1 Bourlioux, Anne 1 Caplain, Gilbert 1 Chalhoub, Nancy 1 Chateau, Xavier 1 Chazel, Florent 1 Cockburn, Bernardo 1 Contento, Lorenzo 1 Croisille, Jean-Pierre 1 Daru, Virginie 1 Debiane, L. 1 Djadel, Karim 1 Dormieux, Luc 1 Droniou, Jérôme 1 Drui, Florence 1 Duquennoi, Christian 1 Farin, Maxime 1 Granet, Sylvie 1 Guermond, J.-J. 1 Hu, Jun 1 Ivorra, Benjamin 1 Jamond, Olivier 1 Kazymyrenko, Kyrylo 1 Keyes, David Elliot 1 Linke, Alexander 1 Mohammadi, Bijan 1 Muga, Ignacio ...and 23 more Co-Authors all top 5 Serials 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 17 SIAM Journal on Numerical Analysis 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Computer Methods in Applied Mechanics and Engineering 9 IMA Journal of Numerical Analysis 9 SIAM Journal on Scientific Computing 8 Journal of Computational Physics 7 Mathematics of Computation 6 Computers & Mathematics with Applications 6 Computational Methods in Applied Mathematics 4 Journal of Scientific Computing 3 Journal of Computational and Applied Mathematics 3 Computational Mechanics 3 Applied Mathematics Letters 3 Combustion Theory and Modelling 3 Multiscale Modeling & Simulation 3 Texts in Applied Mathematics 2 International Journal for Numerical Methods in Fluids 2 International Journal for Numerical Methods in Engineering 2 Numerische Mathematik 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 Foundations of Computational Mathematics 1 Journal of Numerical Mathematics 1 Communications in Mathematical Sciences 1 International Journal of Numerical Analysis and Modeling 1 Oberwolfach Reports 1 Applied Mathematical Sciences 1 Lecture Notes in Physics. New Series m: Monographs 1 Series in Contemporary Applied Mathematics CAM 1 Matapli 1 SEMA SIMAI Springer Series 1 SpringerBriefs in Mathematics 1 SMAI Journal of Computational Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Fields 158 Numerical analysis (65-XX) 98 Partial differential equations (35-XX) 72 Fluid mechanics (76-XX) 28 Mechanics of deformable solids (74-XX) 14 Classical thermodynamics, heat transfer (80-XX) 7 Functional analysis (46-XX) 6 General and overarching topics; collections (00-XX) 6 Approximations and expansions (41-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Geophysics (86-XX) 5 Biology and other natural sciences (92-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 175 Publications have been cited 4,770 times in 2,929 Documents Cited by ▼ Year ▼ Theory and practice of finite elements. Zbl 1059.65103 Ern, Alexandre; Guermond, Jean-Luc 748 2004 Mathematical aspects of discontinuous Galerkin methods. Zbl 1231.65209 Di Pietro, Daniele Antonio; Ern, Alexandre 458 2012 A hybrid high-order locking-free method for linear elasticity on general meshes. Zbl 1423.74876 Di Pietro, Daniele A.; Ern, Alexandre 191 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 143 2014 Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045 Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre 112 2016 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 99 2015 Discontinuous Galerkin methods for Friedrichs’ systems. I: General theory. Zbl 1122.65111 Ern, A.; Guermond, J.-L. 95 2006 Continuous interior penalty \(hp\)-finite element methods for advection and advection-diffusion equations. Zbl 1118.65118 Burman, Erik; Ern, Alexandre 94 2007 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 92 2009 Finite element quasi-interpolation and best approximation. Zbl 1378.65041 Ern, Alexandre; Guermond, Jean-Luc 88 2017 Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs. Zbl 1362.65056 Ern, Alexandre; Vohralík, Martin 87 2013 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 84 2010 Hybrid high-order methods for variable-diffusion problems on general meshes. (Méthodes hybrides d’ordre élevé pour des problèmes à diffusion variable sur des maillages généraux.) Zbl 1308.65196 Di Pietro, Daniele A.; Ern, Alexandre 76 2015 A posteriori control of modeling errors and discretization errors. Zbl 1050.65100 Braack, Malte; Ern, Alexandre 68 2003 Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems. Zbl 1190.65165 Ern, Alexandre; Stephansen, Annette F.; Vohralík, Martin 68 2010 Multicomponent transport algorithms. Zbl 0820.76002 Ern, Alexandre; Giovangigli, Vincent 67 1994 Stabilized Galerkin approximation of convection-diffusion-reaction equations: Discrete maximum principle and convergence. Zbl 1078.65088 Burman, Erik; Ern, Alexandre 65 2005 Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems. Zbl 1197.65013 Tryoen, J.; Le Maître, O.; Ndjinga, M.; Ern, A. 65 2010 Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes. Zbl 1049.65128 Burman, Erik; Ern, Alexandre 58 2004 Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation. Zbl 1101.76354 Burman, Erik; Ern, Alexandre 52 2002 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. 52 2008 Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132 Bonelle, Jérôme; Ern, Alexandre 50 2014 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 49 2011 A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. Zbl 1457.65194 Di Pietro, Daniele A.; Droniou, Jérôme; Ern, Alexandre 46 2015 Finite elements II. Galerkin approximation, elliptic and mixed PDEs. Zbl 1476.65002 Ern, Alexandre; Guermond, Jean-Luc 45 2021 Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures. Zbl 1231.76143 Ern, A.; Mozolevski, I.; Schuh, L. 44 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. 44 2010 An accurate \(\mathbf H\)(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems. Zbl 1129.65085 Ern, Alexandre; Nicaise, Serge; Vohralík, Martin 41 2007 A discontinuous skeletal method for the viscosity-dependent Stokes problem. Zbl 1436.76022 Di Pietro, Daniele A.; Ern, Alexandre; Linke, Alexander; Schieweck, Friedhelm 40 2016 Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032 Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc 38 2008 A posteriori error estimation based on potential and flux reconstruction for the heat equation. Zbl 1215.65152 Ern, Alexandre; Vohralík, Martin 37 2010 An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201 Burman, Erik; Ern, Alexandre 36 2018 Thermal diffusion effects in hydrogen-air and methane-air flames. Zbl 0944.76092 Ern, Alexandre; Giovangigli, Vincent 31 1998 Evaluation of the condition number in linear systems arising in finite element approximations. Zbl 1149.65306 Ern, Alexandre; Guermond, Jean-Luc 30 2006 Fast and accurate multicomponent transport property evaluation. Zbl 0938.76097 Ern, Alexandre; Giovangigli, Vincent 29 1995 An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems. Zbl 1475.65186 Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre 28 2021 Discontinuous Galerkin methods for Friedrichs’ systems. II: Second-order elliptic PDEs. Zbl 1133.65098 Ern, Alexandre; Guermond, Jean-Luc 28 2006 An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrich’ systems. (An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrichs’ systems.) Zbl 1118.47003 Ern, Alexandre; Guermond, Jean-Luc; Caplain, Gilbert 28 2007 Adaptive anisotropic spectral stochastic methods for uncertain scalar conservation laws. Zbl 1273.35330 Tryoen, J.; Le Maître, O.; Ern, A. 28 2012 Finite elements I. Approximation and interpolation. Zbl 1476.65003 Ern, Alexandre; Guermond, Jean-Luc 28 2020 \(hp\)-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems. Zbl 1351.65082 Dolejší, Vít; Ern, Alexandre; Vohralík, Martin 26 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 26 2016 Time-integration schemes for the finite element dynamic Signorini problem. Zbl 1315.74019 Doyen, David; Ern, Alexandre; Piperno, Serge 26 2011 A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems. Zbl 1278.65138 Dolejší, Vít; Ern, Alexandre; Vohralík, Martin 26 2013 Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041 Ern, Alexandre; Guermond, Jean-Luc 25 2016 Hierarchical local model reduction for elliptic problems: A domain decomposition approach. Zbl 1206.65251 Perotto, Simona; Ern, Alexandre; Veneziani, Alessandro 25 2010 A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems. Zbl 1166.76036 Ern, Alexandre; Meunier, Sébastien 23 2009 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 23 2017 Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. Zbl 1471.74076 Cicuttin, M.; Di Pietro, D. A.; Ern, A. 22 2018 Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes. Zbl 1433.65285 Di Pietro, Daniele A.; Ern, Alexandre 22 2017 Éléments finis: théorie, applications, mise en œuvre. (Finite elements: Theory, applications, implementation.) Zbl 0993.65123 Ern, Alexandre; Guermond, Jean-Luc 21 2002 Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068 Ern, Alexandre; Guermond, Jean-Luc 21 2018 Towards polyalgorithmic linear system solvers for nonlinear elliptic problems. Zbl 0807.65027 Ern, Alexandre; Giovangigli, Vincent; Keyes, David E.; Smooke, Mitchell D. 21 1994 A posteriori energy-norm error estimates for advection-diffusion equations approximated by weighted interior penalty methods. Zbl 1174.65034 Ern, Alexandre; Stephansen, Annette F. 21 2008 Flux reconstruction and a posteriori error estimation for discontinuous Galerkin methods on general nonmatching grids. Zbl 1161.65085 Ern, Alexandre; Vohralík, Martin 21 2009 Projective iterative algorithms with application to multicomponent transport. Zbl 0867.65017 Ern, Alexandre; Giovangigli, Vincent 21 1997 Analysis of compatible discrete operator schemes for the Stokes equations on polyhedral meshes. Zbl 1329.76249 Bonelle, Jérôme; Ern, Alexandre 20 2015 Mass conservative BDF-discontinuous Galerkin/explicit finite volume schemes for coupling subsurface and overland flows. Zbl 1227.76045 Sochala, P.; Ern, A.; Piperno, S. 20 2009 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 20 2020 Hybrid high-order methods for finite deformations of hyperelastic materials. Zbl 1459.74020 Abbas, Mickaël; Ern, Alexandre; Pignet, Nicolas 19 2018 A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations. Zbl 1084.65092 Ern, Alexandre; Proft, Jennifer 19 2005 Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian. Zbl 1152.65073 Burman, Erik; Ern, Alexandre 19 2008 Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes. Zbl 1417.65197 Bonelle, Jérôme; Di Pietro, Daniele A.; Ern, Alexandre 18 2015 Hierarchical model reduction for advection-diffusion-reaction problems. Zbl 1157.65487 Ern, A.; Perotto, S.; Veneziani, A. 18 2008 Spectral approximation of elliptic operators by the hybrid high-order method. Zbl 1422.65359 Calo, Victor; Cicuttin, Matteo; Deng, Quanling; Ern, Alexandre 17 2019 Weighting the edge stabilization. Zbl 1280.65095 Ern, Alexandre; Guermond, Jean-Luc 17 2013 Discontinuous Galerkin methods for Friedrichs’ systems. Part III. Multifield theories with partial coercivity. Zbl 1179.65145 Ern, Alexandre; Guermond, Jean-Luc 17 2008 Finite elements III. First-order and time-dependent PDEs. Zbl 1457.65001 Ern, Alexandre; Guermond, Jean-Luc 16 2021 Fractional-step methods and finite elements with symmetric stabilization for the transient Oseen problem. Zbl 1398.76097 Burman, Erik; Ern, Alexandre; Fernández, Miguel A. 15 2017 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. 15 2007 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 15 2020 A nonintrusive reduced basis method applied to aeroacoustic simulations. Zbl 1338.76049 Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony 14 2015 A double-layer Boussinesq-type model for highly nonlinear and dispersive waves. Zbl 1186.35156 Chazel, F.; Benoit, M.; Ern, A.; Piperno, S. 14 2009 A hybrid high-order discretization combined with Nitsche’s method for contact and Tresca friction in small strain elasticity. Zbl 1452.65328 Chouly, Franz; Ern, Alexandre; Pignet, Nicolas 14 2020 Vorticity-velocity formulation for three-dimensional steady compressible flows. Zbl 0783.76059 Ern, A.; Smooke, M. D. 13 1993 Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes. Zbl 1245.35125 Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony 12 2012 A hybrid high-order method for incremental associative plasticity with small deformations. Zbl 1440.74368 Abbas, Mickaël; Ern, Alexandre; Pignet, Nicolas 12 2019 Convergence analysis of hybrid high-order methods for the wave equation. Zbl 1480.65248 Burman, Erik; Duran, Omar; Ern, Alexandre; Steins, Morgane 12 2021 Roe solver with entropy corrector for uncertain hyperbolic systems. Zbl 1197.65129 Tryoen, J.; Le Maître, O.; Ndjinga, M.; Ern, A. 12 2010 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 11 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 11 2017 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 11 2014 Nonconforming finite element methods with subgrid viscosity applied to advection-diffusion-reaction equations. Zbl 1104.65110 El Alaoui, Linda; Ern, Alexandre 11 2006 Residual and hierarchical a posteriori error estimates for nonconforming mixed finite element methods. Zbl 1077.65113 El Alaoui, Linda; Ern, Alexandre 11 2004 Coupling multimodelling with local mesh refinement for the numerical computation of laminar flames. Zbl 1068.80534 Braack, Malte; Ern, Alexandre 11 2004 Accurate velocity reconstruction for discontinuous Galerkin approximations of two-phase porous medium flows. Zbl 1162.76027 Ern, Alexandre; Mozolevski, Igor; Schuh, L. 11 2009 Hybrid high-order methods. A primer with applications to solid mechanics. Zbl 1475.74002 Cicuttin, Matteo; Ern, Alexandre; Pignet, Nicolas 11 2021 Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123 Burman, Erik; Ern, Alexandre 10 2012 Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal \(hp\) approximation estimates in \(\boldsymbol{H}(\operatorname{div})\). Zbl 1517.65108 Ern, Alexandre; Gudi, Thirupathi; Smears, Iain; Vohralík, Martin 10 2022 Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions. Zbl 1466.65183 Cascavita, Karol L.; Chouly, Franz; Ern, Alexandre 10 2020 Four closely related equilibrated flux reconstructions for nonconforming finite elements. Zbl 1261.65117 Ern, Alexandre; Vohralík, Martin 10 2013 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 9 2018 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 9 2016 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. 9 2006 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 8 2017 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 8 2014 Numerical study of a three-dimensional chemical vapor deposition reactor with detailed chemistry. Zbl 0853.76091 Ern, Alexandre; Giovangigli, Vincent; Smooke, Mitchell D. 8 1996 A progressive reduced basis/empirical interpolation method for nonlinear parabolic problems. Zbl 1397.65180 Benaceur, Amina; Ehrlacher, Virginie; Ern, Alexandre; Meunier, Sébastien 8 2018 Preface. Zbl 1349.00239 8 2016 A hybrid high-order method for highly oscillatory elliptic problems. Zbl 1434.65246 Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon 8 2019 The unique continuation problem for the heat equation discretized with a high-order space-time nonconforming method. Zbl 07764838 Burman, Erik; Delay, Guillaume; Ern, Alexandre 1 2023 Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal \(hp\) approximation estimates in \(\boldsymbol{H}(\operatorname{div})\). Zbl 1517.65108 Ern, Alexandre; Gudi, Thirupathi; Smears, Iain; Vohralík, Martin 10 2022 Hybrid high-order methods for the acoustic wave equation in the time domain. Zbl 1499.65483 Burman, Erik; Duran, Omar; Ern, Alexandre 8 2022 Hybrid high-order and weak Galerkin methods for the biharmonic problem. Zbl 1501.65111 Dong, Zhaonan; Ern, Alexandre 5 2022 Stable broken \(\boldsymbol{H}(\mathbf{curl})\) polynomial extensions and \(p\)-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem. Zbl 1479.65027 Chaumont-Frelet, T.; Ern, A.; Vohralík, M. 4 2022 Invariant-domain-preserving high-order time stepping. I: Explicit Runge-Kutta schemes. Zbl 1501.65070 Ern, Alexandre; Guermond, Jean-Luc 2 2022 Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and \(H^{1+r}, r>0\), regularity. Zbl 1501.35156 Ern, Alexandre; Guermond, Jean-Luc 2 2022 Unfitted hybrid high-order methods for the wave equation. Zbl 1507.65202 Burman, Erik; Duran, Omar; Ern, Alexandre 1 2022 Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods. Zbl 1486.65241 Chaumont-Frelet, Théophile; Ern, Alexandre; Lemaire, Simon; Valentin, Frédéric 1 2022 Finite elements II. Galerkin approximation, elliptic and mixed PDEs. Zbl 1476.65002 Ern, Alexandre; Guermond, Jean-Luc 45 2021 An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems. Zbl 1475.65186 Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre 28 2021 Finite elements III. First-order and time-dependent PDEs. Zbl 1457.65001 Ern, Alexandre; Guermond, Jean-Luc 16 2021 Convergence analysis of hybrid high-order methods for the wave equation. Zbl 1480.65248 Burman, Erik; Duran, Omar; Ern, Alexandre; Steins, Morgane 12 2021 Hybrid high-order methods. A primer with applications to solid mechanics. Zbl 1475.74002 Cicuttin, Matteo; Ern, Alexandre; Pignet, Nicolas 11 2021 On the derivation of guaranteed and \(p\)-robust a posteriori error estimates for the Helmholtz equation. Zbl 1500.65096 Chaumont-Frelet, T.; Ern, A.; Vohralík, M. 8 2021 SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators. Zbl 1486.65245 Deng, Quanling; Ern, Alexandre 5 2021 Explicit solutions to a free interface model for the static/flowing transition in thin granular flows. Zbl 1481.35340 Lusso, Christelle; Bouchut, François; Ern, Alexandre; Mangeney, Anne 5 2021 A hybridized high-order method for unique continuation subject to the Helmholtz equation. Zbl 1481.65207 Burman, Erik; Delay, Guillaume; Ern, Alexandre 4 2021 Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method. Zbl 1502.65179 Carstensen, Carsten; Ern, Alexandre; Puttkammer, Sophie 3 2021 An unfitted hybrid high-order method for the Stokes interface problem. Zbl 1518.65126 Burman, Erik; Delay, Guillaume; Ern, Alexandre 3 2021 A hybrid high-order method for flow simulations in discrete fracture networks. Zbl 1471.65196 Hédin, Florent; Pichot, Géraldine; Ern, Alexandre 2 2021 Hybrid high-order method for singularly perturbed fourth-order problems on curved domains. Zbl 1490.65269 Dong, Zhaonan; Ern, Alexandre 1 2021 The unfitted HHO method for the Stokes problem on curved domains. Zbl 1470.76051 Burman, Erik; Delay, Guillaume; Ern, Alexandre 1 2021 Finite elements I. Approximation and interpolation. Zbl 1476.65003 Ern, Alexandre; Guermond, Jean-Luc 28 2020 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 20 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 15 2020 A hybrid high-order discretization combined with Nitsche’s method for contact and Tresca friction in small strain elasticity. Zbl 1452.65328 Chouly, Franz; Ern, Alexandre; Pignet, Nicolas 14 2020 Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions. Zbl 1466.65183 Cascavita, Karol L.; Chouly, Franz; Ern, Alexandre 10 2020 Polynomial-degree-robust \(\boldsymbol H(\mathbf{curl})\)-stability of discrete minimization in a tetrahedron. Zbl 1456.65156 Chaumont-Frelet, Théophile; Ern, Alexandre; Vohralík, Martin 5 2020 Hybrid high-order methods for the elliptic obstacle problem. Zbl 1436.65176 Cicuttin, Matteo; Ern, Alexandre; Gudi, Thirupathi 5 2020 A quasi-optimal variant of the hybrid high-order method for elliptic partial differential equations with \(H^{-1}\) loads. Zbl 1466.65224 Ern, Alexandre; Zanotti, Pietro 4 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 4 2020 Compatible discrete operator schemes for the steady incompressible Stokes and Navier-Stokes equations. Zbl 1454.65134 Bonelle, Jérôme; Ern, Alexandre; Milani, Riccardo 3 2020 Spectral approximation of elliptic operators by the hybrid high-order method. Zbl 1422.65359 Calo, Victor; Cicuttin, Matteo; Deng, Quanling; Ern, Alexandre 17 2019 A hybrid high-order method for incremental associative plasticity with small deformations. Zbl 1440.74368 Abbas, Mickaël; Ern, Alexandre; Pignet, Nicolas 12 2019 A hybrid high-order method for highly oscillatory elliptic problems. Zbl 1434.65246 Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon 8 2019 Equilibrated flux a posteriori error estimates in \(L^2(H^1)\)-norms for high-order discretizations of parabolic problems. Zbl 1467.65092 Ern, Alexandre; Smears, Iain; Vohralík, Martin 6 2019 Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods. Zbl 1422.65250 Boiveau, Thomas; Ehrlacher, Virginie; Ern, Alexandre; Nouy, Anthony 4 2019 An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics. Zbl 1440.65274 Marazzato, Frédéric; Ern, Alexandre; Mariotti, Christian; Monasse, Laurent 3 2019 Preface: Special issue on model reduction. Zbl 1481.00045 1 2019 An unfitted hybrid high-order method for elliptic interface problems. Zbl 1448.65201 Burman, Erik; Ern, Alexandre 36 2018 Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. Zbl 1471.74076 Cicuttin, M.; Di Pietro, D. A.; Ern, A. 22 2018 Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068 Ern, Alexandre; Guermond, Jean-Luc 21 2018 Hybrid high-order methods for finite deformations of hyperelastic materials. Zbl 1459.74020 Abbas, Mickaël; Ern, Alexandre; Pignet, Nicolas 19 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 9 2018 A progressive reduced basis/empirical interpolation method for nonlinear parabolic problems. Zbl 1397.65180 Benaceur, Amina; Ehrlacher, Virginie; Ern, Alexandre; Meunier, Sébastien 8 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 5 2018 Numerical methods for PDEs. State of the art techniques. Zbl 1402.65007 4 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 4 2018 A cut cell hybrid high-order method for elliptic problems with curved boundaries. Zbl 1427.65350 Burman, Erik; Ern, Alexandre 2 2018 On the implementation of a multiscale hybrid high-order method. Zbl 1456.65158 Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon 1 2018 Finite element quasi-interpolation and best approximation. Zbl 1378.65041 Ern, Alexandre; Guermond, Jean-Luc 88 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 23 2017 Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes. Zbl 1433.65285 Di Pietro, Daniele A.; Ern, Alexandre 22 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. 15 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 11 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 11 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 8 2017 An edge-based scheme on polyhedral meshes for vector advection-reaction equations. Zbl 1402.65151 Cantin, Pierre; Ern, Alexandre 4 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 4 2017 A nonlinear consistent penalty method weakly enforcing positivity in the finite element approximation of the transport equation. Zbl 1439.76053 Burman, Erik; Ern, Alexandre 2 2017 Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045 Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre 112 2016 A discontinuous skeletal method for the viscosity-dependent Stokes problem. Zbl 1436.76022 Di Pietro, Daniele A.; Ern, Alexandre; Linke, Alexander; Schieweck, Friedhelm 40 2016 \(hp\)-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems. Zbl 1351.65082 Dolejší, Vít; Ern, Alexandre; Vohralík, Martin 26 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 26 2016 Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041 Ern, Alexandre; Guermond, Jean-Luc 25 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 9 2016 Preface. Zbl 1349.00239 8 2016 A converse to Fortin’s lemma in Banach spaces. (Une réciproque au lemme de Fortin dans les espaces de Banach.) Zbl 1387.47004 Ern, Alexandre; Guermond, Jean-Luc 6 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 3 2016 Vertex-based compatible discrete operator schemes on polyhedral meshes for advection-diffusion equations. Zbl 1336.65184 Cantin, Pierre; Ern, Alexandre 3 2016 Variants of the empirical interpolation method: symmetric formulation, choice of norms and rectangular extension. Zbl 1337.65014 Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony 3 2016 A hybrid high-order locking-free method for linear elasticity on general meshes. Zbl 1423.74876 Di Pietro, Daniele A.; Ern, Alexandre 191 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 99 2015 Hybrid high-order methods for variable-diffusion problems on general meshes. (Méthodes hybrides d’ordre élevé pour des problèmes à diffusion variable sur des maillages généraux.) Zbl 1308.65196 Di Pietro, Daniele A.; Ern, Alexandre 76 2015 A discontinuous-skeletal method for advection-diffusion-reaction on general meshes. Zbl 1457.65194 Di Pietro, Daniele A.; Droniou, Jérôme; Ern, Alexandre 46 2015 Analysis of compatible discrete operator schemes for the Stokes equations on polyhedral meshes. Zbl 1329.76249 Bonelle, Jérôme; Ern, Alexandre 20 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 18 2015 A nonintrusive reduced basis method applied to aeroacoustic simulations. Zbl 1338.76049 Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony 14 2015 Equilibrated tractions for the hybrid high-order method. (Tranctions équilibrées pour la méthode hybride d’ordre élevé.) Zbl 1310.65143 Di Pietro, Daniele A.; Ern, Alexandre 5 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 3 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 3 2015 A conservative embedded boundary method for an inviscid compressible flow coupled with a fragmenting structure. Zbl 1352.76074 Puscas, Maria Adela; Monasse, Laurent; Ern, Alexandre; Tenaud, Christian; Mariotti, Christian 2 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 143 2014 Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132 Bonelle, Jérôme; Ern, Alexandre 50 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 11 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 8 2014 Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs. Zbl 1362.65056 Ern, Alexandre; Vohralík, Martin 87 2013 A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems. Zbl 1278.65138 Dolejší, Vít; Ern, Alexandre; Vohralík, Martin 26 2013 Weighting the edge stabilization. Zbl 1280.65095 Ern, Alexandre; Guermond, Jean-Luc 17 2013 Four closely related equilibrated flux reconstructions for nonconforming finite elements. Zbl 1261.65117 Ern, Alexandre; Vohralík, Martin 10 2013 Quasi-explicit time-integration schemes for dynamic fracture with set-valued cohesive zone models. Zbl 1319.74024 Doyen, D.; Ern, A.; Piperno, S. 2 2013 Mathematical aspects of discontinuous Galerkin methods. Zbl 1231.65209 Di Pietro, Daniele Antonio; Ern, Alexandre 458 2012 Adaptive anisotropic spectral stochastic methods for uncertain scalar conservation laws. Zbl 1273.35330 Tryoen, J.; Le Maître, O.; Ern, A. 28 2012 Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes. Zbl 1245.35125 Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony 12 2012 Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations. Zbl 1281.65123 Burman, Erik; Ern, Alexandre 10 2012 Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions. Zbl 1267.65178 Di Pietro, Daniele A.; Ern, Alexandre 6 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. 1 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 49 2011 Time-integration schemes for the finite element dynamic Signorini problem. Zbl 1315.74019 Doyen, David; Ern, Alexandre; Piperno, Serge 26 2011 ...and 75 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,550 Authors 99 Ern, Alexandre 76 Burman, Erik 66 Di Pietro, Daniele Antonio 57 Vohralík, Martin 35 Droniou, Jérôme 30 Gatica, Gabriel N. 28 Antonietti, Paola Francesca 28 Salgado, Abner J. 26 Beirão da Veiga, Lourenço 25 Larson, Mats G. 25 Otárola, Enrique 24 Badia, Santiago 23 Guermond, Jean-Luc 23 Ruiz-Baier, Ricardo 22 Carstensen, Carsten 21 Georgoulis, Emmanuil H. 21 Giovangigli, Vincent 20 Oyarzúa, Ricardo 20 Perotto, Simona 19 Barrenechea, Gabriel R. 19 Feng, Minfu 19 Hansbo, Peter 19 Rivière, Beatrice M. 19 Verani, Marco 18 Caucao, Sergio 18 Manzini, Gianmarco 18 Park, Eun-Jae 18 Yuan, Guangwei 18 Zhao, Lina 17 John, Volker 17 Mora, David 16 Langer, Ulrich 15 Abgrall, Rémi 15 Dassi, Franco 15 Linke, Alexander 15 Maday, Yvon 15 Rhebergen, Sander 15 Smooke, Mitchell D. 15 Wick, Thomas 15 Ye, Xiu 14 Allendes, Alejandro 14 Botti, Lorenzo 14 Chaumont-Frelet, Théophile 14 Giani, Stefano 14 Guillén González, Francisco M. 14 Lehrenfeld, Christoph 14 Mu, Lin 14 Nochetto, Ricardo Horacio 14 Peterseim, Daniel 14 Quarteroni, Alfio M. 14 Schwab, Christoph 14 Wihler, Thomas Pascal 13 Calo, Victor Manuel 13 Chouly, Franz 13 Dolejší, Vít 13 Houston, Paul 13 Massing, André 13 Stamm, Benjamin 13 Valentin, Frédéric 12 Bertrand, Fleurianne 12 Botti, Michele 12 Cangiani, Andrea 12 Cockburn, Bernardo 12 Codina, Ramon 12 Eymard, Robert 12 Mascotto, Lorenzo 12 Meddahi, Salim 12 Shu, Chi-Wang 12 Zhang, Shangyou 12 Zunino, Paolo 11 Chung, Tsz Shun Eric 11 Knobloch, Petr 11 Lanteri, Stéphane 11 Marche, Fabien 11 Muga, Ignacio 11 Pryer, Tristan 11 Qiu, Weifeng 11 Renard, Yves 11 Reusken, Arnold 11 Russo, Alessandro 11 Sayah, Toni 11 Sheng, Zhiqiang 11 Stevenson, Rob P. 11 Van Brummelen, Harald 11 Veneziani, Alessandro 11 Zhang, Shun 10 Ainsworth, Mark 10 Araya, Rodolfo A. 10 Bause, Markus 10 Becker, Roland 10 Bennett, Beth Anne V. 10 Deng, Quanling 10 Guzmán, Johnny 10 Lovadina, Carlo 10 Maier, Roland 10 Nicaise, Serge 10 Solano, Manuel E. 10 Starke, Gerhard 10 Toulopoulos, Ioannis 9 Braack, Malte ...and 3,450 more Authors all top 5 Cited in 247 Serials 291 Computer Methods in Applied Mechanics and Engineering 204 Journal of Computational Physics 204 Journal of Scientific Computing 171 Computers & Mathematics with Applications 155 SIAM Journal on Numerical Analysis 130 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 121 SIAM Journal on Scientific Computing 118 Journal of Computational and Applied Mathematics 105 Mathematics of Computation 105 Numerische Mathematik 58 Applied Numerical Mathematics 53 Computational Methods in Applied Mathematics 45 Numerical Methods for Partial Differential Equations 43 M\(^3\)AS. 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