Optimized Schwarz methods with Ventcell transmission conditions for model problems with continuously variable coefficients

作者：

Highlights：

•

• We optimized the Schwarz method for model problems with variable coefficients.

• We obtained the optimized Ventcell transmission parameters in asymptotic closed form.

• We estimated the asymptotic convergence rate with optimized Ventcell transmission conditions.

• The numerical experiments validate well the theoretical findings.

摘要

•We optimized the Schwarz method for model problems with variable coefficients.•We obtained the optimized Ventcell transmission parameters in asymptotic closed form.•We estimated the asymptotic convergence rate with optimized Ventcell transmission conditions.•The numerical experiments validate well the theoretical findings.

论文关键词：65N55,65F10,Optimized Schwarz method,Ventcell transmission condition,Continuously variable coefficient,Domain decomposition,Parallel computation

论文评审过程：Received 14 January 2016, Revised 12 July 2017, Available online 2 December 2017, Version of Record 26 December 2017.

论文官网地址：https://doi.org/10.1016/j.cam.2017.11.015