Multigrid methods for saddle point problems: Oseen system
We develop and analyze multigrid methods for the Oseen system in fluid flow. We show that the W-cycle algorithm is a uniform contraction if the number of smoothing steps is sufficiently large. Numerical results that illustrate the performance of the methods are also presented.
Publication Source (Journal or Book title)
Computers and Mathematics with Applications
Brenner, S., Li, H., & Sung, L. (2017). Multigrid methods for saddle point problems: Oseen system. Computers and Mathematics with Applications, 74 (9), 2056-2067. https://doi.org/10.1016/j.camwa.2017.06.016