Time and space adaptivity of the wave equation discretized in time by a second order scheme
Numerical Analysis
2017-09-22 v2
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 -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.
Keywords
Cite
@article{arxiv.1707.00057,
title = {Time and space adaptivity of the wave equation discretized in time by a second order scheme},
author = {Olga Gorynina and Alexei Lozinski and Marco Picasso},
journal= {arXiv preprint arXiv:1707.00057},
year = {2017}
}