Theory and practice of finite elements A Ern, JL Guermond Springer 159, xiv-524, 2004 | 3494 | 2004 |
Mathematical aspects of discontinuous Galerkin methods DA Di Pietro, A Ern Springer Science & Business Media, 2011 | 1504 | 2011 |
Multicomponent transport algorithms A Ern, V Giovangigli Springer Science & Business Media, 1994 | 507 | 1994 |
A hybrid high-order locking-free method for linear elasticity on general meshes DA Di Pietro, A Ern Computer Methods in Applied Mechanics and Engineering 283, 1-21, 2015 | 393 | 2015 |
An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators DA Di Pietro, A Ern, S Lemaire Computational Methods in Applied Mathematics 14 (4), 461-472, 2014 | 297 | 2014 |
Finite elements I: Approximation and interpolation A Ern, JL Guermond Springer Nature, 2021 | 296* | 2021 |
A discontinuous Galerkin method with weighted averages for advection–diffusion equations with locally small and anisotropic diffusivity A Ern, AF Stephansen, P Zunino IMA Journal of Numerical Analysis 29 (2), 235-256, 2009 | 283 | 2009 |
A posteriori control of modeling errors and discretization errors M Braack, A Ern Multiscale Modeling & Simulation 1 (2), 221-238, 2003 | 276 | 2003 |
Discontinuous Galerkin methods for Friedrichs' systems. I. General theory A Ern, JL Guermond SIAM journal on numerical analysis 44 (2), 753-778, 2006 | 245 | 2006 |
Eléments finis: théorie, applications, mise en oeuvre A Ern, JL Guermond Springer Science & Business Media, 2002 | 242 | 2002 |
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods B Cockburn, DA Di Pietro, A Ern ESAIM: Mathematical Modelling and Numerical Analysis 50 (3), 635-650, 2016 | 238 | 2016 |
Thermal diffusion effects in hydrogen-air and methane-air flames A Ern, V Giovangigli Combustion Theory and Modelling 2 (4), 349, 1998 | 215 | 1998 |
Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations A Ern, M Vohralík SIAM Journal on Numerical Analysis 53 (2), 1058-1081, 2015 | 213 | 2015 |
Continuous interior penalty ℎ𝑝-finite element methods for advection and advection-diffusion equations E Burman, A Ern Mathematics of computation 76 (259), 1119-1140, 2007 | 211 | 2007 |
Fast and accurate multicomponent transport property evaluation A Ern, V Giovangigli Journal of Computational Physics 120 (1), 105-116, 1995 | 208 | 1995 |
Discrete functional analysis tools for discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations D Di Pietro, A Ern Mathematics of Computation 79 (271), 1303-1330, 2010 | 206 | 2010 |
Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs A Ern, M Vohralík SIAM Journal on Scientific Computing 35 (4), A1761-A1791, 2013 | 197 | 2013 |
Finite element quasi-interpolation and best approximation A Ern, JL Guermond ESAIM: Mathematical Modelling and Numerical Analysis 51 (4), 1367-1385, 2017 | 188 | 2017 |
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems A Ern, AF Stephansen, M Vohralík Journal of computational and applied mathematics 234 (1), 114-130, 2010 | 173 | 2010 |
A well‐balanced Runge–Kutta discontinuous Galerkin method for the shallow‐water equations with flooding and drying A Ern, S Piperno, K Djadel International journal for numerical methods in fluids 58 (1), 1-25, 2008 | 168 | 2008 |