Nonoverlapping Schwarz Waveform Relaxation and Numerical Recovery for Non-Fickian Problems With Time-Delay

IEEE Access

Di Liu¹  Dan Zhang²  Zhiyong Wang²  ShuLin Wu³ 

[1] Department of Arts, Jinan University, Guangzhou, China;School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China;School of Science, Sichuan University of Science and Engineering, Zigong, China;

关键词: Schwarz waveform relaxation;    non-Fickian delay equations;    parameter optimization;    convergence analysis;   

DOI  :  10.1109/ACCESS.2019.2891605

来源: DOAJ

【 摘 要 】

In this paper, we study the nonoverlapping Schwarz waveform relaxation algorithm with Robin transmission conditions (TCs) and numerical recovery for non-Fickian diffusion equations with time-delay. We derive an ideal Robin parameter by technically solving a special min-max problem. We show that the free parameter in TCs has a significant effect on the convergence rate of the algorithm. Finally, we present several numerical results to confirm the effectiveness of the proposed algorithm.

【 授权许可】

Unknown