An easily computable error estimator in space and time for the wave equation
Numerical Analysis
2017-10-25 v1
Abstract
We propose a cheaper version of \textit{a posteriori} error estimator from arXiv:1707.00057 for the linear second-order wave equation discretized by the Newmark scheme in time and by the finite element method in space. The new estimator preserves all the properties of the previous one (reliability, optimality on smooth solutions and quasi-uniform meshes) but no longer requires an extra computation of the Laplacian of the discrete solution on each time step.
Cite
@article{arxiv.1710.08410,
title = {An easily computable error estimator in space and time for the wave equation},
author = {Olga Gorynina and Alexei Lozinski and Marco Picasso},
journal= {arXiv preprint arXiv:1710.08410},
year = {2017}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1707.00057