Biquadratic finite volume element methods based on optimal stress points for parabolic problems

Authors:
Changhua Yu;Yonghai Li
Affiliations:
Institute of Mathematics, Jilin University, Changchun 130012, PR China;School of Mathematics, Jilin University, Changchun 130012, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

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Abstract

In this paper, the semi-discrete and full discrete biquadratic finite volume element schemes based on optimal stress points for a class of parabolic problems are presented. Optimal order error estimates in H^1 and L^2 norms are derived. In addition, the superconvergences of numerical gradients at optimal stress points are also discussed. A numerical experiment confirms some results of theoretical analysis.