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Alexandre Ern
Researcher at École Normale Supérieure
Publications - 284
Citations - 11446
Alexandre Ern is an academic researcher from École Normale Supérieure. The author has contributed to research in topics: Finite element method & Discontinuous Galerkin method. The author has an hindex of 47, co-authored 278 publications receiving 9901 citations. Previous affiliations of Alexandre Ern include Yale University & École Polytechnique.
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Theory and practice of finite elements
Alexandre Ern,Jean-Luc Guermond +1 more
TL;DR: Theoretical Foundations for Finite Element Interpolation and Banach Spaces by Galerkin Methods are given in this article, along with a discussion of the application of the Banach and Hilbert spaces in data-structuring and mesh generation.
Book
Mathematical Aspects of Discontinuous Galerkin Methods
TL;DR: A simulation of Steady advection-reaction and unsteady first-order PDEs for pure diffusion shows that the former is more reliable than the latter.
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A hybrid high-order locking-free method for linear elasticity on general meshes
TL;DR: In this article, an arbitrary-order locking-free method for linear elasticity is proposed, which relies on a pure-displacement (primal) formulation and leads to a symmetric, positive definite system matrix with compact stencil.
Book
Multicomponent transport algorithms
TL;DR: The authors present a general and self-contained theory of iterative algorithms for evaluating transport coefficients in multicomponent, and especially dilute polyatomic gas mixtures thus filling a gap left by other books that give preference to pure (mostly monatomic) gases and to binary mixtures.
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An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
TL;DR: An arbitrary-order primal method for diffusion problems on general polyhedral meshes based on a local (elementwise) discrete gradient reconstruction operator that is proved to optimally converge in the energy norm and in the L2-norm of the potential for smooth solutions.