Transformed primal–dual methods for nonlinear saddle point systems

L Chen, J Wei - Journal of Numerical Mathematics, 2023 - degruyter.com
A transformed primal–dual (TPD) flow is developed for a class of nonlinear smooth saddle
point systemThe flow for the dual variable contains a Schur complement which is strongly …

Convergence of some iterative methods for symmetric saddle point linear systems

Y Notay - SIAM Journal on Matrix Analysis and Applications, 2019 - SIAM
We consider the iterative solution of linear systems with a symmetric saddle point system
matrix. We address a family of solution techniques that exploit the knowledge of a …

Multigrid preconditioners for mixed finite element methods of the vector Laplacian

L Chen, Y Wu, L Zhong, J Zhou - Journal of Scientific Computing, 2018 - Springer
Due to the indefiniteness and poor spectral properties, the discretized linear algebraic
system of the vector Laplacian by mixed finite element methods is hard to solve. A block …

[PDF][PDF] Fast Solvers for Stokes Equations

L Chen - en. In:() - math.uci.edu
FAST SOLVERS FOR STOKES EQUATIONS 1. Introudction 1 2. A Basic Iterative Method 2 3.
Uzawa-type Methods 3 3.1. Uzawa method 3 3. Page 1 FAST SOLVERS FOR STOKES …