A posteriori error estimates for wave maps into spheres
Numerical Analysis
2023-07-25 v2 Numerical Analysis
Abstract
We provide a posteriori error estimates in the energy norm for temporal semi-discretisations of wave maps into spheres that are based on the angular momentum formulation. Our analysis is based on novel weak-strong stability estimates which we combine with suitable reconstructions of the numerical solution. We present time-adaptive numerical simulations based on the a posteriori error estimators for solutions involving blow-up.
Cite
@article{arxiv.2010.07552,
title = {A posteriori error estimates for wave maps into spheres},
author = {Jan Giesselmann and Elena Mäder-Baumdicker and David Jakob Stonner},
journal= {arXiv preprint arXiv:2010.07552},
year = {2023}
}