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| Error Estimates for Finite-Element Navier-Stokes Solvers without Standard Inf-Sup Conditions |
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Citation： |
Jian-Guo LIU,Jie LIU,Robert L. PEGO.Error Estimates for Finite-Element Navier-Stokes Solvers without Standard Inf-Sup Conditions[J].Chinese Annals of Mathematics B,2009,30(6):743~768 |
| Page view： 1624
Net amount： 1102 |
Authors： |
Jian-Guo LIU; Jie LIU; Robert L. PEGO; |
Foundation： |
the National Science Foundation (Nos. DMS 06-04420 (RLP), DMS 08-11177
(JGL)) and the Center for Nonlinear Analysis (CNA) under National Science Foundation Grant (Nos.
0405343, 0635983). |
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| Abstract： |
The authors establish error estimates for recently developed finite-element
methods for incompressible viscous flow in domains with no-slip boundary conditions.
The methods arise by discretization of a well-posed extended Navier-Stokes dynamics for
which pressure is determined from current velocity and force fields. The methods use C1
elements for velocity and C0 elements for pressure. A stability estimate is proved for a
related finite-element projection method close to classical time-splitting methods of Orszag,
Israeli, DeVille and Karniadakis. |
Keywords： |
Time-dependent incompressible flow, Projection method, Backward
facing step, Driven cavity, Stokes pressure, Leray projection, Obtuse
corner, Recycling |
Classification： |
76D05, 65M15, 65M60 |
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