@article {10.3844/jmssp.2011.255.261, article_type = {journal}, title = {A Comparative Study of Block Preconditioners for Incompressible Flow Problems}, author = {Liu, Jia}, volume = {7}, year = {2011}, month = {Sep}, pages = {255-261}, doi = {10.3844/jmssp.2011.255.261}, url = {https://thescipub.com/abstract/jmssp.2011.255.261}, abstract = {Problem statement: We consider the numerical solvers for the linearized Navier-Stokes problem. Both the Stokes problem and Oseen problems are considered. Approach: We used the Mark and Cell (MAC) discretization method to discretize the Navier-Stokes equations. We used preconditioned Krylov subspace methods to solve the resulting linear systems. Results: Numerical experimental results are performed to compare the different preconditioners. Conclusion: The choice of the preconditioner is highly problem dependent and we give the suggestions for individual cases.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }