Premium
Some fast 3D finite element solvers for the generalized Stokes problem
Author(s) -
Cahouet J.,
Chabard J.P.
Publication year - 1988
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650080802
Subject(s) - multigrid method , discretization , finite element method , mathematics , stokes problem , section (typography) , computational fluid dynamics , special section , mathematical optimization , computer science , mathematical analysis , partial differential equation , physics , mechanics , thermodynamics , operating system , engineering physics
This paper is devoted to a comparison of various iterative solvers for the Stokes problem, based on the preconditioned Uzawa approach. In the first section the basic equations and general results of gradient‐like methods are recalled. Then a new class of preconditioners, whose optimality will be shown, is introduced. In the last section numerical experiments and comparisons with multigrid methods prove the quality of these schemes, whose discretization is detailed.