The French-Peterson space-time continuous FEM for the Hamiltonian wave equation is proved unconditionally stable with T-independent constants, quasi-optimal a priori error rates, and a reliable explicit a posteriori estimator.
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A variational approach to the analysis of the continuous space-time FEM for the wave equation
The French-Peterson space-time continuous FEM for the Hamiltonian wave equation is proved unconditionally stable with T-independent constants, quasi-optimal a priori error rates, and a reliable explicit a posteriori estimator.