A parallel space-time domain decomposition method for unsteady source inversion problems
Abstract
In this paper, we propose a parallel space-time domain decomposition method for solving an unsteady source identification problem governed by the linear convection-diffusion equation. Traditional approaches require to solve repeatedly a forward parabolic system, an adjoint system and a system with respect to the unknowns. The three systems have to be solved one after another. These sequential steps are not desirable for large scale parallel computing. A space-time restrictive additive Schwarz method is proposed for a fully implicit space-time coupled discretization scheme to recover the time-dependent pollutant source intensity functions. We show with numerical experiments that the scheme works well with noise in the observation data. More importantly it is demonstrated that the parallel space-time Schwarz preconditioner is scalable on a supercomputer with over processors, thus promising for large scale applications.
Cite
@article{arxiv.1508.06064,
title = {A parallel space-time domain decomposition method for unsteady source inversion problems},
author = {Xiaomao Deng and Xiao-chuan Cai and Jun Zou},
journal= {arXiv preprint arXiv:1508.06064},
year = {2015}
}