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.