Matrix oriented reduction of space-time Petrov-Galerkin variational problems
Numerical Analysis
2019-12-24 v1 Numerical Analysis
Abstract
Variational formulations of time-dependent PDEs in space and time yield -dimensional problems to be solved numerically. This increases the number of unknowns as well as the storage amount. On the other hand, this approach enables adaptivity in space and time as well as model reduction w.r.t. both type of variables. In this paper, we show that matrix oriented techniques can significantly reduce the computational timings for solving the arising linear systems outperforming both time-stepping schemes and other solvers.
Cite
@article{arxiv.1912.10082,
title = {Matrix oriented reduction of space-time Petrov-Galerkin variational problems},
author = {Julian Henning and Davide Palitta and Valeria Simoncini and Karsten Urban},
journal= {arXiv preprint arXiv:1912.10082},
year = {2019}
}