Ern, Alexandre
- Finite element quasi-interpolation and best approximation
2015/05/26 by Alexandre Ern, Ern, Alexandre, Jean-Luc Guermond +2 · 10 citations
Computer Science · Engineering · #FOS: Mathematics #Numerical Analysis (math.NA)
- Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H(div)
2019/08/22 by Alexandre Ern, Ern, Alexandre, Thirupathi Gudi +5 · 6 citations
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
- Mollification in strongly Lipschitz domains with application to continuous and discrete De Rham complex
2015/09/04 by Ern, Alexandre, Guermond, Jean-Luc · 2 citations
#41A65 #65D05 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
- Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem
2020/05/28 by Théophile Chaumont-Frelet, Chaumont-Frelet, Théophile, Alexandre Ern +3 · 3 citations
Engineering · #65N15 #65N30 #78M10 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
- Hybrid high-order methods. A primer with application to solid mechanics
2021/06/17 by Matteo Cicuttin, Cicuttin, Matteo, Alexandre Ern +3 · 2 citations
Computer Science · Engineering · #Advanced Numerical Methods in Computational Mathematics #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
- Analysis of Compatible Discrete Operator Schemes for the Stokes\n Equations on Polyhedral Meshes
2014/01/30 by Jérôme Bonelle, Alexandre Ern, Bonelle, Jerome +1 · 1 citation
Computer Science · Engineering · #65N08 #65N12 #65N15 #65N30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Computational Engineering #Contact Mechanics and Variational Inequalities #FOS: Computer and information sciences #FOS: Mathematics #Finance #Numerical Analysis (math.NA) #and Science (cs.CE)
- A converse to Fortin's Lemma in Banach spaces
2016/02/14 by Ern, Alexandre, Guermond, Jean-Luc · 1 citation
#46B10 #65N12 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
- Analysis of the edge finite element approximation of the Maxwell\n equations with low regularity solutions
2017/06/02 by Alexandre Ern, Ern, Alexandre, Jean‐Luc Guermond +1 · 1 citation
Engineering · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
- An unfitted Hybrid High-Order method for elliptic interface problems
2017/10/27 by Burman, Erik, Ern, Alexandre · 1 citation
#35J15 #65N15 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
- Spectral approximation of elliptic operators by the Hybrid High-Order method
2017/11/03 by Calo, Victor, Cicuttin, Matteo, Deng, Quanling +1 · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- Discrete Poincaré inequalities: a review on proofs, equivalent formulations, and behavior of constants
2024/12/16 by Ern, Alexandre, Guzmán, Johnny, Potu, Pratyush +1 · 2 citations
#FOS: Mathematics #Numerical Analysis (math.NA)
- Equilibrated tractions for the Hybrid High-Order method
2014/11/01 by Di Pietro, Daniele A., Ern, Alexandre · 1 citation
#65N08 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
- SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators
2020/11/13 by Deng, Quanling, Ern, Alexandre · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- hp-error analysis of mixed-order hybrid high-order methods for elliptic problems on simplicial meshes
2024/10/03 by Dong, Zhaonan, Ern, Alexandre · 2 citations
#65N15 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)