3 papers
math.NA2026
On -robust convergence and optimality of adaptive FEM driven by equilibrated-flux estimators
Théophile Chaumont-Frelet, Zhaonan Dong, Gregor Gantner +1
Building on existing -adaptive algorithms driven by equilibrated-flux estimators from [ESAIM Math. Model. Numer. Anal. 57 (2023), 329--366] and the references therein, we propo…
math.NA2025
A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic electromagnetic problems
Ari E. Rappaport, Théophile Chaumont-Frelet, Axel Modave
The CHDG method is a hybridizable discontinuous Galerkin (HDG) finite element method suitable for the iterative solution of time-harmonic wave propagation problems. Hybrid unknowns…
math.NA2020
A postprocessing technique for a discontinuous Galerkin discretization of time-dependent Maxwell's equations
G. Nehmetallah, T. Chaumont-Frelet, S. Descombes +1
We present a novel postprocessing technique for a discontinuous Galerkin (DG) discretization of time-dependent Maxwell's equations that we couple with an explicit Runge-Kutta time-…