Year: 1999
Author: Xiao-Bo Liu
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 475–494
Abstract
Interior error estimates are derived for nonconforming stable mixed finite element discretizations of the stationary Stokes equations. As an application, interior convergences of difference quotients of the finite element solution are obtained for the derivatives of the exact solution when the mesh satisfied some translation invariant condition. For the linear element, it is proved that the average of the gradients of the finite element solution at the midpoint of two interior adjacent triangles approximates the gradient of the exact solution quadratically.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9119
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 475–494
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20