Nonconforming time discretization based on Robin transmission conditions for the Stokes–Darcy system
作者：
Highlights：
• The Stokes and Darcy system is formulated as a time-dependent interface problem.
• The decoupling algorithm is developed based on Robin–Robin transmission conditions.
• The Stokes and Darcy problems are solved independently and globally in time.
• Local time-stepping schemes with nonconforming time grids can be used.
• The use of nonconforming time grids significantly improves the efficiency.
摘要
•The Stokes and Darcy system is formulated as a time-dependent interface problem.•The decoupling algorithm is developed based on Robin–Robin transmission conditions.•The Stokes and Darcy problems are solved independently and globally in time.•Local time-stepping schemes with nonconforming time grids can be used.•The use of nonconforming time grids significantly improves the efficiency.
论文关键词：Stokes–Darcy system,Domain decomposition,Robin–Robin conditions,Schwarz waveform relaxation,Robin parameters,Local time-stepping
论文评审过程：Received 20 January 2021, Revised 1 June 2021, Accepted 12 August 2021, Available online 21 September 2021, Version of Record 21 September 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126602
