title: Parallel algorithm for convection-diffusion system based on least-squares procedure.
abstract: Combining subspace correction method with least-squares finite element procedure, we construct a new overlapping domain decomposition parallel algorithm for solving the first-order time-dependent convection-diffusion system. This algorithm is fully parallel. We analyze the convergence of approximate solution, and study the dependence of the convergent rate on the spacial mesh size, time increment, iteration number and sub-domains overlapping degree. Both theoretical analysis and numerical results suggest that only one or two iterations are needed to reach to given accuracy at each time step.
authors.affiliation: Department of Applied Mathematics, China University of Petroleum, Qingdao, 266580 China.
authors.forename: Jiansong
authors.initials: J
authors.lastname: Zhang
authors.affiliation: Department of Computational Mathematics, China University of Petroleum, Qingdao, 266580 China.
authors.forename: Hui
authors.initials: H
authors.lastname: Guo
authors.affiliation: Department of Pure Mathematics, China University of Petroleum, Qingdao, 266580 China.
authors.forename: Hongfei
authors.initials: H
authors.lastname: Fu
authors.affiliation: Department of Mathematics, Beijing University of Chemical Technology, Beijing, 100029 China.
authors.forename: Yanzhen
authors.initials: Y
authors.lastname: Chang
keywords: Convection–diffusion system; Least-squares; Overlapping domain decomposition; Parallel subspace correction