The Optimal L 2 Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem
Author(s) -
Guoliang He,
Jian Su,
Wenqiang Dai
Publication year - 2012
Publication title -
advances in numerical analysis
Language(s) - English
Resource type - Journals
eISSN - 1687-9570
pISSN - 1687-9562
DOI - 10.1155/2012/251908
Subject(s) - algorithm , artificial intelligence , computer science
A finite volume method based on stabilized finite element for the two-dimensionalstationary Navier-Stokes equations is analyzed. For the P1–P0 element, we obtain the optimal L2 error estimates of the finite volume solution uh and ph. We also provide some numerical examplesto confirm the efficiency of the FVM. Furthermore, the effect of initial value for iterative methodis analyzed carefully
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