@Article{CiCP-24-510, author = {}, title = {Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems}, journal = {Communications in Computational Physics}, year = {2018}, volume = {24}, number = {2}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0168}, url = {http://global-sci.org/intro/article_detail/cicp/12250.html} }