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Superconvergent biquadratic finite volume element method for two-dimensional Poisson's equations
2010
Journal of Computational and Applied Mathematics
MSC: 65N12 65N15 Keywords: Poisson's equation Biquadratic finite volume element method Alternating direction method Optimal stress point Error estimate Superconvergence a b s t r a c t In this paper, a kind of biquadratic finite volume element method is presented for two-dimensional Poisson's equations by restricting the optimal stress points of biquadratic interpolation as the vertices of control volumes. The method can be effectively implemented by alternating direction technique. It is
doi:10.1016/j.cam.2009.12.036
fatcat:eoipnca37jecbfmaq2y6l2xnh4