Superconvergence by L2-projection for a stabilized finite volume method for the stationary Navier-Stokes equations

Authors:
Pengzhan Huang;Tong Zhang;Xiaoling Ma
Affiliations:
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China;Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, PR China and School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, PR China;College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, PR China
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

A superconvergence result is established for the stationary Navier-Stokes equations by a stabilized finite volume method and L^2-projection on a coarse mesh. Like other results in the family of L^2-projection methods, the superconvergence presented in this paper is based on some regularity assumption for the Navier-Stokes problem and is applicable to the stabilized finite volume method with quasi-uniform partitions.