16 citations · 32 across the 11 of their papers we have counts for
12 papers
A HDG method with transmission variables for time-harmonic wave propagation problems with constant coefficients
Simone Pescuma, Gwénaël Gabard, Théophile Chaumont-Frelet +1
Iterative finite element solvers for time-harmonic wave problems are notoriously slow to converge, owing to fundamental properties of these problems. We present a variant of the hy…
A posteriori error estimates and space-adaptive mesh refinements for time-dependent scattering problems
Théophile Chaumont-Frelet, Heiko Gimperlein, Ignacio Labarca-Figueroa +1
This work studies a posteriori error estimates and their use for time-dependent acoustic scattering problems, formulated as a time-dependent boundary integral equation based on a s…
A quasi-interpolation operator yielding fully computable error bounds
T. Chaumont-Frelet, M. Vohralik
We design a quasi-interpolation operator from the Sobolev space to its finite-dimensional finite element subspace formed by piecewise polynomials on a simplicial mesh wi…
A posteriori error estimates for the finite element discretization of second-order PDEs set in unbounded domains
T. Chaumont-Frelet
We consider second-order PDE problems set in unbounded domains and discretized by Lagrange finite elements on a finite mesh, thus introducing an artificial boundary in the discreti…
Adaptive boundary element methods for regularized combined field integral equations
Théophile Chaumont-Frelet, Gregor Gantner
While the exterior Helmholtz problem with Dirichlet boundary conditions is always well-posed, the associated standard boundary integral equations are not if the squared wavenumber…
A priori and a posteriori analysis of the discontinuous Galerkin approximation of the time-harmonic Maxwell's equations under minimal regularity assumptions
T. Chaumont-Frelet, A. Ern
We derive a priori and a posteriori error estimates for the discontinuous Galerkin (dG) approximation of the time-harmonic Maxwell's equations. Specifically, we consider an interio…
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…
Frequency-explicit a posteriori error estimates for discontinuous Galerkin discretizations of Maxwell's equations
T. Chaumont-Frelet, P. Vega
We propose a new residual-based a posteriori error estimator for discontinuous Galerkin discretizations of time-harmonic Maxwell's equations in first-order form. We establish that…
Asymptotically constant-free and polynomial-degree-robust a posteriori estimates for space discretizations of the wave equation
T. Chaumont-Frelet
We derive an equilibrated a posteriori error estimator for the space (semi) discretization of the scalar wave equation by finite elements. In the idealized setting where time discr…
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 ,…
A posteriori error estimates for finite element discretizations of time-harmonic Maxwell's equations coupled with a non-local hydrodynamic Drude model
T. Chaumont-Frelet, S. Lanteri, P. Vega
We consider finite element discretizations of Maxwell's equations coupled with a non-local hydrodynamic Drude model that accurately accounts for electron motions in metallic nanost…
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…