Alexandre Ern
Computational Mechanics · 2002–2016
A researcher in the Science corpus: 15 papers; trusts 33 researchers and is trusted by 52 researchers here, as inferred from the citation graph.
Subfields
- Computational Mechanics — 46 citations into it; #1,495 of 10,001 by trust here, #2,407 by citations
- Numerical Analysis — 20 citations into it; #1,254 of 3,586 by trust here, #1,122 by citations
- Computational Theory and Mathematics — 18 citations into it; #1,297 of 12,182 by trust here, #2,161 by citations
- Electrical and Electronic Engineering — 13 citations into it
- Mechanics of Materials — 13 citations into it; #670 of 6,291 by trust here, #1,301 by citations
Whom Alexandre Ern trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Bernardo Cockburn
- Jean-Luc Guermond
- Franco Brezzi
- Douglas N. Arnold
- Second-Order Elliptic Pdes
- Mark Ainsworth
- Chi-Wang Shu
- Yulong Xing
- Clint N. Dawson
- Claes Eskilsson
Who trusts Alexandre Ern overall
- Alexander Linke
- Franz Chouly
- Volker John
- Martin Vohralík
- Matthew W. Farthing
- Benoît Carrier
- S. Brisard
- Gunar Matthies
- Yulong Xing
- Linda El Alaoui
Papers from Alexandre Ern's perspective
Ordered by how strongly the researchers Alexandre Ern trusts endorse each paper. Same corpus, a different order for every researcher.
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems (SIAM Journal on Numerical Analysis)
- Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
- Mixed and Hybrid Finite Element Methods (Springer Series in Computational Mathematics)
- A Discontinuous Galerkin Method for the Shallow Water Equations with Source Terms
- Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes (SIAM Journal on Numerical Analysis)
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems (SIAM Journal on Numerical Analysis)
- Theory and practice of finite elements
- The nonconforming virtual element method
- Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces
- A new discretization methodology for diffusion problems on generalized polyhedral meshes
Their papers
- Hybrid high-order methods for variable-diffusion problems on general meshes (2015) — 127 citations
- Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures (2010) — 98 citations
- Mathematical Aspects of Discontinuous Galerkin Methods (2011) — 1,241 citations
- An accurate H(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems (2007) — 108 citations
- A posteriori error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems (2009) — 60 citations
- Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods (2016) — 224 citations
- Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation (2002) — 104 citations
- A discontinuous skeletal method for the viscosity-dependent Stokes problem (2015) — 91 citations
- Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems (2011) — 115 citations
- Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian (2008) — 49 citations
- A well‐balanced Runge–Kutta discontinuous Galerkin method for the shallow‐water equations with flooding and drying (2008) — 151 citations
- An Intrinsic Criterion for the Bijectivity of Hilbert Operators Related to Friedrich' Systems (2007) — 70 citations
- Discontinuous Galerkin Methods for Friedrichs’ Systems (2006) — 117 citations
- Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes (2004) — 108 citations
- Theory and practice of finite elements (2004) — 2,450 citations