Convergence Analysis of Incomplete Biquadratic Rectangular Element for Fourth‐Order Singular Perturbation Problem on Anisotropic Meshes

Pingli Xie and Meng Hu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/234375

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:234375

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