TY - JOUR
T1 - Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems
JO - Communications in Computational Physics
VL - 2
SP - 510
EP - 530
PY - 2018
DA - 2018/08
SN - 24
DO - http://doi.org/10.4208/cicp.OA-2017-0168
UR - https://global-sci.org/intro/article_detail/cicp/12250.html
KW - Fourth-order elliptic problems, mixed finite element, optimal convergence.
AB - <p style="text-align: justify;">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.</p>