Multigrid methods for saddle point problems: Stokes and Lame systems

作者：Brenner Susanne C^*; Li Hengguang; Sung Li Yeng

来源：Numerische Mathematik, 2014, 128(2): 193-216.

DOI：10.1007/s00211-014-0607-3

We develop new multigrid methods for a class of saddle point problems that include the Stokes system in fluid flow and the Lam, system in linear elasticity as special cases. The new smoothers in the multigrid methods involve optimal preconditioners for the discrete Laplace operator. We prove uniform convergence of the -cycle algorithm in the energy norm and present numerical results for -cycle and -cycle algorithms.

• 出版日期2014-10