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

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

Year:    2018

Communications in Computational Physics, Vol. 24 (2018), Iss. 2 : pp. 510–530

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Communications in Computational Physics, Vol. 24 (2018), Iss. 2 : pp. 510–530

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Fourth-order elliptic problems mixed finite element optimal convergence.