A ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems in unsteady convection-diffusion PDEs

作者：

Highlights：

• A ROM-accelerated parallel-in-time preconditioner is developed for solving evolutionary PDEs.

• Low dimensional approximation is introduced to the ParaDIAG preconditioning procedure.

• More than an order of magnitude speed-up has been achieved by the new algorithm.

摘要

•A ROM-accelerated parallel-in-time preconditioner is developed for solving evolutionary PDEs.•Low dimensional approximation is introduced to the ParaDIAG preconditioning procedure.•More than an order of magnitude speed-up has been achieved by the new algorithm.

论文关键词：Parallel-in-time,α-circulant preconditioner,Model order reduction,Reduced basis method,FGMRES

论文评审过程：Received 1 April 2021, Revised 8 August 2021, Accepted 17 October 2021, Available online 31 October 2021, Version of Record 31 October 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126750