[02609] Reliable and efficient a posteriori error estimates for time-dependent wave equations
Session Time & Room : 2E (Aug.22, 17:40-19:20) @F310
Type : Contributed Talk
Abstract : I will discuss a novel equilibrated a posteriori error estimator for the space (semi) discretization of the scalar wave equation by finite elements. Specifically, I will show that the estimator provides fully-guaranteed upper bounds that are asymptotically constant-free and that it is efficient and polynomial-degree-robust, meaning that the efficiency constant does not deteriorate as the approximation order is increased. To the best of my knowledge, this work is the first to propose an estimator for the wave equation that is provably reliable and efficient in the same norm. I will present numerical examples illustrate the theory and suggest that it is sharp.
