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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.NA2023
Asymptotic optimality of the edge finite element approximation of the time-harmonic Maxwell's equations
T. Chaumont-Frelet, A. Ern
We analyze the conforming approximation of the time-harmonic Maxwell's equations using Nédélec (edge) finite elements. We prove that the approximation is asymptotically optimal, i.…