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Alexandre Ern
Alexandre Ern
ENPC and INRIA
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Title
Cited by
Cited by
Year
Theory and practice of finite elements
A Ern, JL Guermond
Springer 159, xiv-524, 2004
34942004
Mathematical aspects of discontinuous Galerkin methods
DA Di Pietro, A Ern
Springer Science & Business Media, 2011
15042011
Multicomponent transport algorithms
A Ern, V Giovangigli
Springer Science & Business Media, 1994
5071994
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
3932015
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
2972014
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
2832009
A posteriori control of modeling errors and discretization errors
M Braack, A Ern
Multiscale Modeling & Simulation 1 (2), 221-238, 2003
2762003
Discontinuous Galerkin methods for Friedrichs' systems. I. General theory
A Ern, JL Guermond
SIAM journal on numerical analysis 44 (2), 753-778, 2006
2452006
Eléments finis: théorie, applications, mise en oeuvre
A Ern, JL Guermond
Springer Science & Business Media, 2002
2422002
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
2382016
Thermal diffusion effects in hydrogen-air and methane-air flames
A Ern, V Giovangigli
Combustion Theory and Modelling 2 (4), 349, 1998
2151998
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
2132015
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
2112007
Fast and accurate multicomponent transport property evaluation
A Ern, V Giovangigli
Journal of Computational Physics 120 (1), 105-116, 1995
2081995
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
2062010
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
1972013
Finite element quasi-interpolation and best approximation
A Ern, JL Guermond
ESAIM: Mathematical Modelling and Numerical Analysis 51 (4), 1367-1385, 2017
1882017
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
1732010
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
1682008
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Articles 1–20