Seminars on Numerical Algorithms, Analyses, and Applications: Robin-Robin domain decomposition method and optimized Schwarz method for a coupled model in free flow and porous media flow-Tianyuan Mathematical Center in Southeast China (TMSE)

Seminars on Numerical Algorithms, Analyses, and Applications: Robin-Robin domain decomposition method and optimized Schwarz method for a coupled model in free flow and porous media flow

Jun 12, 2023

Conference Room 106 at Experiment Building at Haiyun Campus

Wenjing Yan (Xian Jiaotong University)

Speaker：Wenjing Yan (Xi'an Jiaotong University)

Time：2023-6-12, 10:00

Location：Conference Room 106 at Experiment Building at Haiyun Campus

Abstract:

In this talk, we propose and analyze the efficient decoupled methods to solve the large system arisen from a coupled model in free flow and porous media flow. Robin boundary conditions are applied to decouple the coupling conditions on the interface. Then, Robin-Robin domain decomposition method is established based on the two decoupled sub-problems. Moreover, optimized Schwarz method is used to derive the optimized Robin parameters which are able to improve the convergent behavior of the algorithms. Finally, the numerical experiments are presented to validate the accuracy and applicability of proposed algorithms.