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Superconvergence and Asymptotic Expansions for Bilinear Finite Volume Element Approximations
Published online by Cambridge University Press: 28 May 2015
Aiming at the isoparametric bilinear finite volume element scheme, we initially derive an asymptotic expansion and a high accuracy combination formula of the derivatives in the sense of pointwise by employing the energy-embedded method on uniform grids. Furthermore, we prove that the approximate derivatives are convergent of order two. Finally, numerical examples verify the theoretical results.
- Research Article
- Numerical Mathematics: Theory, Methods and Applications , Volume 6 , Issue 2 , May 2013 , pp. 408 - 423
- Copyright © Global Science Press Limited 2013