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Commun. Comput. Phys., 24 (2018), pp. 510-530.
Published online: 2018-08
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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.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0168}, url = {http://global-sci.org/intro/article_detail/cicp/12250.html} }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.