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Publications by Alexandre Ern

Polynomial-Degree-Robust a Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations

SIAM Journal on Numerical Analysis
Computational MathematicsApplied MathematicsNumerical Analysis
2015English

Explicit Runge–Kutta Schemes and Finite Elements With Symmetric Stabilization for First-Order Linear PDE Systems

SIAM Journal on Numerical Analysis
Computational MathematicsApplied MathematicsNumerical Analysis
2010English

A Nonlinear Consistent Penalty Method Weakly Enforcing Positivity in the Finite Element Approximation of the Transport Equation

Computer Methods in Applied Mechanics and Engineering
Mechanics of MaterialsMechanical EngineeringComputer Science ApplicationsComputational MechanicsAstronomyPhysics
2017English

Time-Integration Schemes for the Finite Element Dynamic Signorini Problem

SIAM Journal of Scientific Computing
Computational MathematicsApplied Mathematics
2011English

Low-Rank Approximation of Linear Parabolic Equations by Space-Time Tensor Galerkin Methods

ESAIM: Mathematical Modelling and Numerical Analysis
Numerical AnalysisApplied MathematicsAnalysisSimulationModelingComputational Mathematics
2019English

Discrete Functional Analysis Tools for Discontinuous Galerkin Methods With Application to the Incompressible Navier–Stokes Equations

Mathematics of Computation
Computational MathematicsApplied MathematicsNumber TheoryAlgebra
2010English

Hybrid High-Order Methods for the Elliptic Obstacle Problem

Journal of Scientific Computing
Numerical AnalysisApplied MathematicsComputational TheoryEngineeringComputational MathematicsMathematicsTheoretical Computer ScienceSoftware
2020English

Preface: Special Issue on Model Reduction

Journal of Scientific Computing
Numerical AnalysisApplied MathematicsComputational TheoryEngineeringComputational MathematicsMathematicsTheoretical Computer ScienceSoftware
2019English

Stress and Flux Reconstruction in Biot’s Poro-Elasticity Problem With Application to a Posteriori Error Analysis

Computers and Mathematics with Applications
MathematicsComputational MathematicsSimulationModelingComputational Theory
2017English

Abstract Nonconforming Error Estimates and Application to Boundary Penalty Methods for Diffusion Equations and Time-Harmonic Maxwell’s Equations

Computational Methods in Applied Mathematics
Computational MathematicsApplied MathematicsNumerical Analysis
2018English

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