TY - JOUR
T1 - Multigrid Methods for Elliptic Optimal Control Problems with Pointwise State Constraints
AU - Michelle Vallejos
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 99
EP - 109
PY - 2012
DA - 2012/05
SN - 5
DO - http://doi.org/10.4208/nmtma.2011.m12si06
UR - https://global-sci.org/intro/article_detail/nmtma/5930.html
KW - Elliptic optimal control problems, Lavrentiev regularization, multigrid methods, pointwise state constraints.
AB - <p style="text-align: justify;">An elliptic optimal control problem with constraints on the state variable is
considered. The Lavrentiev-type regularization is used to treat the constraints
on the state variable. To solve the problem numerically, the multigrid for
optimization (MGOPT) technique and the collective smoothing multigrid (CSMG)
are implemented. Numerical results are reported to
illustrate and compare the efficiency of both multigrid strategies.</p>