RobinDD

This is the code corresponding to the article [Robin-type domain decomposition with stabilized mixed approximation for incompressible flow]. 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.

Required MATLAB packages

To use the package ensure the path contains:

• IFISS 3.6

Running the examples

There are five examples included corresponding to the examples in [Robin-type domain decomposition with stabilized mixed approximation for incompressible flow]. Run the following scripts to get the results presented in our paper.

run_stokes_exact.m

and

run_driven_cavity.m

and

run_navier_two.m

and

run_navier_six.m

and

run_navier_large.m