Finite volume method based on stabilized finite elements for the nonstationary Navier–Stokes problem
Copyright policy )Finite volume method based on stabilized finite elements for the nonstationary Navier–Stokes problem
AbstractA finite volume method based on stabilized finite element for the two‐dimensional nonstationary Navier–Stokes equations is investigated in this work. As in stabilized finite element method, macroelement condition is introduced for constructing the local stabilized formulation of the nonstationary Navier–Stokes equations. Moreover, for P1 − P0 element, the H1 error estimate of optimal order for finite volume solution (uh,ph) is analyzed. And, a uniform H1 error estimate of optimal order for finite volume solution (uh, ph) is also obtained if the uniqueness condition is satisfied. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007
- Xi’an Jiaotong-Liverpool University China (People's Republic of)
Error bounds for initial value and initial-boundary value problems involving PDEs, uniform error estimation, Navier-Stokes equations for incompressible viscous fluids, uniqueness condition, Finite volume methods applied to problems in fluid mechanics, macroelement condition, Finite element methods applied to problems in fluid mechanics
Error bounds for initial value and initial-boundary value problems involving PDEs, uniform error estimation, Navier-Stokes equations for incompressible viscous fluids, uniqueness condition, Finite volume methods applied to problems in fluid mechanics, macroelement condition, Finite element methods applied to problems in fluid mechanics
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