Volume 24, Issue 2
Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems.

Yue Yan ,  Weijia Li ,  Wenbin Chen and Yanqiu Wang

10.4208/cicp.OA-2017-0168

Commun. Comput. Phys., 24 (2018), pp. 510-530.

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  • 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.

  • History

Published online: 2018-08

  • AMS Subject Headings

65N12, 65N30, 35J30

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