Abstract
The linear system arising from a Lagrange‐Galerkin mixed finite element approximation of the Navier–Stokes and continuity equations is symmetric indefinite and has the same block structure as a system arising from a mixed finite element discretization of a Stokes problem. This paper considers the iterative solution of such a system, comparing the performance of the one‐level preconditioned conjugate residual method for indefinite matrices with that of a more traditional two‐level pressure correction approach. Asymptotic estimates for the amount of work involved in each method are given together with the results of related numerical experiments.
Original language | English |
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Pages (from-to) | 67-83 |
Number of pages | 17 |
Journal | International Journal for Numerical Methods in Fluids |
Volume | 19 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 1994 |
Keywords
- conjugate gradients
- mixed finite elements
- Navier–Stokes
- numerical experiments