TY - JOUR
T1 - Superconvergence of $H$<sup>1</sup>-Galerkin Mixed Finite Element Methods for Elliptic Optimal Control Problems
AU - Chunmei Liu, Tianliang Hou & Yin Yang
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 87
EP - 101
PY - 2019
DA - 2019/01
SN - 9
DO - http://doi.org/10.4208/eajam.150117.070618
UR - https://global-sci.org/intro/article_detail/eajam/12936.html
KW - Elliptic equations, optimal control problems, superconvergence, $H^1$-Galerkin mixed
finite element methods.
AB - <p style="text-align: justify;">The convergence of $H$<sup>1</sup>-Galerkin mixed finite element methods for elliptic
optimal control problems is studied and postprocessing operators are used to establish
the superconvergence for control, state and adjoint state variables. A numerical example
confirms the validity of theoretical results.</p>