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2014 Convergence Analysis of Incomplete Biquadratic Rectangular Element for Fourth-Order Singular Perturbation Problem on Anisotropic Meshes
Pingli Xie, Meng Hu
Abstr. Appl. Anal. 2014: 1-11 (2014). DOI: 10.1155/2014/234375

Abstract

The convergence analysis of a Morley type rectangular element for the fourth-order elliptic singular perturbation problem is considered. A counterexample is provided to show that the element is not uniformly convergent with respect to the perturbation parameter. A modified finite element approximation scheme is used to get convergent results; the corresponding error estimate is presented under anisotropic meshes. Numerical experiments are also carried out to demonstrate the theoretical analysis.

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Pingli Xie. Meng Hu. "Convergence Analysis of Incomplete Biquadratic Rectangular Element for Fourth-Order Singular Perturbation Problem on Anisotropic Meshes." Abstr. Appl. Anal. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/234375

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021961
MathSciNet: MR3170393
Digital Object Identifier: 10.1155/2014/234375

Rights: Copyright © 2014 Hindawi

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