Asymptotically constant-free, p-robust and guaranteed a posteriori error estimates for the Helmholtz equation

Théophile Chaumont-Frelet (1) , Alexandre Ern (2, 3) , Martin Vohralík (2, 3)

1 NACHOS - Numerical modeling and high performance computing for evolution problems in complex domains and heterogeneous media
2 SERENA - Simulation for the Environment: Reliable and Efficient Numerical Algorithms
3 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík. Asymptotically constant-free, p-robust and guaranteed a posteriori error estimates for the Helmholtz equation. EnuMath 2019 - European Numerical Mathematics and Advanced Applications Conference, Sep 2019, Egmond aan Zee, Netherlands. ⟨hal-02321140⟩