A unified dual-primal finite element tearing and interconnecting approach for incompressible Stokes equations

作者：Tu Xuemin^*; Li Jing

来源：International Journal for Numerical Methods in Engineering, 2013, 94(2): 128-149.

DOI：10.1002/nme.4439

• domain decomposition
• incompressible Stokes
• FETI-DP
• BDDC

A unified framework of dual-primal finite element tearing and interconnecting (FETI-DP) algorithms is proposed for solving the system of linear equations arising from the mixed finite element approximation of incompressible Stokes equations. A distinctive feature of this framework is that it allows using both continuous and discontinuous pressures in the algorithm, whereas previous FETI-DP methods only apply to discontinuous pressures. A preconditioned conjugate gradient method is used in the algorithm with either a lumped or a Dirichlet preconditioner, and scalable convergence rates are proved. This framework is also used to describe several previously developed FETI-DP algorithms and greatly simplifies their analysis. Numerical experiments of solving a two-dimensional incompressible Stokes problem demonstrate the performances of the discussed FETI-DP algorithms represented under the same framework.

• 出版日期2013-4-13