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math.NA2022★ 4 cited
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…
math.NA2022
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…