A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM.

Bibliographic Details
Title: A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM.
Authors: Dong-yang Shi1, Yi-ran Zhang2
Source: Journal of Computational Mathematics. Sep2006, Vol. 24 Issue 5, p561-578. 18p.
Subject Terms: *STOKES equations, *PARTIAL differential equations, *FINITE element method, *NUMERICAL analysis, *ANISOTROPY
Abstract: This paper is devoted to the five parameters nonconforming finite element schemes with moving grids for velocity-pressure mixed formulations of the nonstationary Stokes problem in 2-D. We show that this element has anisotropic behavior and derive anisotropic error estimations in some certain norms of the velocity and the pressure based on some novel techniques. Especially through careful analysis we get an interesting result on consistency error estimation, which has never been seen for mixed finite element methods in the previously literatures. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Computational Mathematics is the property of Global Science Press and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Academic Search Complete
More Details
ISSN:02549409
Published in:Journal of Computational Mathematics
Language:English