Author

Jia Liu

2 articles in our journals

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Research ArticleOpen accessA Comparative Study of Block Preconditioners for Incompressible Flow ProblemsJia LiuProblem 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: … …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 14 Sep 2011 · 7,063 accessesView PDF Cite

Research ArticleOpen accessOptimal Boundary Control of the Incompressible Fluid Problems in Rotation formJia LiuProblem Statement: We consider the optimal boundary control of the linearized Navier-Stokes problem. Both the Stokes problem and Oseen problem in rotation form are considered. Approach: We use the Mark and Cell (MAC) discretization method to discretize the optimization problem with linear constraints including the Stokes problem and the Oseen problem in rotation from. Then Reduced Hessian methods are to … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,277 accessesView PDF Cite