L 2 error estimation of a quadratic finite volume element method for pseudo-parabolic equations in three spatial dimensions

L 2 error estimation of a quadratic finite volume element method for pseudo-parabolic equations in three spatial dimensions

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Article ID: iaor20122120
Volume: 218
Issue: 13
Start Page Number: 7270
End Page Number: 7278
Publication Date: Mar 2012
Journal: Applied Mathematics and Computation
Authors:
Keywords: graphs
Abstract:

In this paper, we develop a quadratic finite volume element method based on the Barlow points for pseudo‐parabolic equations in three spatial dimensions. Optimal order of convergence in the L 2 norm is obtained by use of a symmetrization technique. Numerical results are presented to illustrate the theoretical findings.

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