Time and space adaptivity of the wave equation discretized in time by a second order scheme

2017/06/30 by Gorynina, Olga, Lozinski, Alexei, Picasso, Marco · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1707.00057

Abstract

The aim of this paper is to obtain a posteriori error bounds of optimal order in time and space for the linear second-order wave equation discretized by the Newmark scheme in time and the finite element method in space. Error estimates are derived in the L^∞-in-time/energy-in-space norm. Numerical experiments are reported for several test cases and confirm equivalence of the proposed estimators and the true error.

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• A posteriori error analysis and adaptivity of a space-time finite element method for the wave equation in second order formulation

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