TY - JOUR

T1 - An alternating explicit-implicit domain decomposition method for the parallel solution of parabolic equations

AU - Zhuang, Yu

N1 - Funding Information:
This research was supported in part by the National Science Foundation under NSF Grant no. ACI 0305393, and by NSF cooperative agreement ACI-9619020 through computing resources provided by the National Partnership for Advanced Computational Infrastructure at the San Diego Supercomputer Center and National Center for Supercomputing Applications.

PY - 2007/9/1

Y1 - 2007/9/1

N2 - Explicit-implicit domain decomposition (EIDD) is a class of globally non-iterative, non-overlapping domain decomposition methods for the numerical solution of parabolic problems on parallel computers, which are highly efficient both computationally and communicationally for each time step. In this paper an alternating EIDD method is proposed which is algorithmically simple, efficient for each time step, highly parallel, and satisfies a stability condition that imposes no additional restriction to the time step restriction imposed by the consistency condition, which guarantees a convergence of order O (Δ th- 1 sqrt(NB / N)) + O (h2) in an H1-type norm, where NB and N, respectively, denote the number of gridpoints on the interface boundaries B and the number of gridpoints on the entire discrete domain.

AB - Explicit-implicit domain decomposition (EIDD) is a class of globally non-iterative, non-overlapping domain decomposition methods for the numerical solution of parabolic problems on parallel computers, which are highly efficient both computationally and communicationally for each time step. In this paper an alternating EIDD method is proposed which is algorithmically simple, efficient for each time step, highly parallel, and satisfies a stability condition that imposes no additional restriction to the time step restriction imposed by the consistency condition, which guarantees a convergence of order O (Δ th- 1 sqrt(NB / N)) + O (h2) in an H1-type norm, where NB and N, respectively, denote the number of gridpoints on the interface boundaries B and the number of gridpoints on the entire discrete domain.

KW - Domain decomposition

KW - Parabolic equation

KW - Parallel computing

UR - http://www.scopus.com/inward/record.url?scp=34249282729&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2006.08.024

DO - 10.1016/j.cam.2006.08.024

M3 - Article

AN - SCOPUS:34249282729

SN - 0377-0427

VL - 206

SP - 549

EP - 566

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -