Stability of time-splitting schemes for the Stokes problem with stabilized finite elements

The time-dependent Stokes problem is solved using continuous, piecewise linear finite elements and a classical stabilization procedure. Four order-one methods are proposed for the time discretization. The first one is nothing but the Euler backward scheme and requires a large linear system involving the velocity and pressure unknowns to be solved. The other three schemes allow velocity and pressure computations to be decoupled, namely the pressure-matrix method, a method based on an inexact LU factorization, and an operator splitting method. Stability and condition number estimates are derived. Numerical experiments in two space dimensions confirm the theoretical predictions. (C) 2001 John Wiley & Sons, Inc.


Published in:
Numerical Methods for Partial Differential Equations, 17, 6, 632-656
Year:
2001
ISSN:
0749-159X
Keywords:
Note:
Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland. Picasso, M, Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland.
ISI Document Delivery No.: 484GF
Times Cited: 2
Cited Reference Count: 28
Other identifiers:
Laboratories:




 Record created 2006-08-24, last modified 2018-03-17


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