Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

Authors

  • Yue Yan, Weijia Li, Wenbin Chen & Yanqiu Wang

DOI:

https://doi.org/10.4208/cicp.OA-2017-0168

Keywords:

Fourth-order elliptic problems, mixed finite element, optimal convergence.

Abstract

A Ciarlet-Raviart type mixed finite element approximation is constructed and analyzed for a class of fourth-order elliptic problems arising from solving various gradient systems. Optimal error estimates are obtained, using a super-closeness relation between the finite element solution and the Ritz projection of the PDE solution. Numerical results agree with the theoretical analysis.

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Published

2018-09-17

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Issue

Vol. 24 No. 2 (2018)

Section

Articles

How to Cite

Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems. (2018). Communications in Computational Physics, 24(2), 510-530. https://doi.org/10.4208/cicp.OA-2017-0168