output
20202023
most citedFrequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations

16 citations

6 papers

math.AP2023★ 4 cited

Explicit bounds for the high-frequency time-harmonic Maxwell equations in heterogeneous media

Théophile Chaumont-Frelet, Andrea Moiola, Euan A. Spence

We consider the time-harmonic Maxwell equations posed in . We prove a priori bounds on the solution for coefficients and satisfying certain monoton…

math.NA2022

Decay of coefficients and approximation rates in Gabor Gaussian frames

T. Chaumont-Frelet, M. Ingremeau

The aim of this note is to present a self-contained proof of the fact that a function can be approximated using a linear combination of Gaussian coherent states, with a number of t…

math.NA2022

Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states

T. Chaumont-Frelet, V. Dolean, M. Ingremeau

We introduce new finite-dimensional spaces specifically designed to approximate the solutions to high-frequency Helmholtz problems with smooth variable coefficients in dimension $d…

math.NA2021★ 9 cited

Frequency-explicit approximability estimates for time-harmonic Maxwell's equations

T. Chaumont-Frelet, P. Vega

We consider time-harmonic Maxwell's equations set in an heterogeneous medium with perfectly conducting boundary conditions. Given a divergence-free right-hand side lying in ,…

math.NA2020★ 16 cited

Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations

T. Chaumont-Frelet, P. Vega

We consider residual-based a posteriori error estimators for Galerkin-type discretizations of time-harmonic Maxwell's equations. We focus on configurations where the frequency is h…

math.NA2020★ 1 cited

Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem

Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík

We study extensions of piecewise polynomial data prescribed in a patch of tetrahedra sharing an edge. We show stability in the sense that the minimizers over piecewise polynomial s…