Abstract We provide a posteriori error estimates in the energy norm for temporal semi-discretisations of wave maps into spheres that are based on angular momentum formulation. Our analysis is novel weak–strong stability which we combine with suitable reconstructions numerical solution. present time-adaptive simulations estimators solutions involving blow-up.

Maxwell equations are posed as variational boundary value problems in the function space H(curl) and are discretized by Nédélec finite elements. In Beck et al., 2000, a residual type a posteriori error estimator was proposed and analyzed under certain conditions onto the domain. In the present paper, we prove the reliability of that error estimator on Lipschitz domains. The key is to establish ...

In this paper, we study the a posteriori error estimate corresponding to Brinkman–Darcy–Forchheimer problem. We introduce variational formulation discretized by using finite element method. Then, establish an estimation with two types of indicators related discretization and linearization. Finally, numerical investigations are shown discussed.