18 citations
- Laboratoire Paul PainlevéFR10 papers
- Université de LilleFR5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- CERMICSFR3 papers
- GIPSA-LabFR2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Laboratoire Jacques-Louis LionsFR2 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR1 paper
- École nationale des ponts et chausséesFR1 paper
- École PolytechniqueFR1 paper
- ETH ZurichCH1 paper
- Imperial College LondonGB1 paper
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math.NA2024
Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions with the leapfrog scheme
T. Chaumont-Frelet, A. Ern
We derive a posteriori error estimates for the the scalar wave equation discretized in space by continuous finite elements and in time by the explicit leapfrog scheme. Our analysis…
math.NA2024
Asymptotically constant-free and polynomial-degree-robust a posteriori error estimates for time-harmonic Maxwell's equations
T. Chaumont-Frelet
We propose a novel a posteriori error estimator for the Nédélec finite element discretization of time-harmonic Maxwell's equations. After the approximation of the electric field is…
math.NA2024
Conservative polynomial approximations and applications to Fokker-Planck equations
Tino Laidin, Lorenzo Pareschi
We address the problem of constructing approximations based on orthogonal polynomials that preserve an arbitrary set of moments of a given function without loosing the spectral con…