A posteriori error estimates for wave maps into spheres

10/15/2020

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by   Jan Giesselmann, et al.

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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. Numerical experiments are presented that confirm that our error estimates are formally optimal until the solution develops singularities.