3 papers
math.NA2024
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…
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.…
math.NA2023
A reduced basis method for frictional contact problems formulated with Nitsche's method
Idrissa Niakh, Guillaume Drouet, Virginie Ehrlacher +1
We develop an efficient reduced basis method for the frictional contact problem formulated using Nitsche's method. We focus on the regime of small deformations and on Tresca fricti…