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arXiv · 1707.00057

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

Olga Gorynina·Alexei Lozinski·Marco Picasso
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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 $L^{\infty}$-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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Olga Gorynina, Alexei Lozinski, Marco Picasso. 2017-09-21. Time and space adaptivity of the wave equation discretized in time by a second order scheme. https://arxiv.org/abs/1707.00057

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