Jan Giesselmann, Elena Mäder-Baumdicker
Published 2020-10-15Version 1
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.
Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems
A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model
A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow
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