上海科技大学知识管理系统

In this paper we present a nonoverlapping Robin-type multi-domain decomposition method based on stabilized Q1–P0 mixed approximation (RMDD-Q1P0) for incompressible flow problems. The global Stokes and Navier-Stokes equations are decomposed into a series of local problems through Robin-type domain decomposition, and local problems are solved through the local jump stabilized Q1–P0 approximation. The RMDD-Q1P0 solutions are proven to converge to the standard global Q1–P0 solutions for the Stokes problem. Numerical experiments for both Stokes and Navier-Stokes equations demonstrate that RMDD-Q1P0 significantly improves the scalability of the stabilized Q1–P0 approximation. The codes used to generate the numerical results are available online. © 2023 Elsevier Ltd