TY - JOUR
T1 - Fast Solvers of Fredholm Optimal Control Problems
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 431
EP - 448
PY - 2010
DA - 2010/03
SN - 3
DO - http://doi.org/10.4208/nmtma.2010.m9011
UR - https://global-sci.org/intro/article_detail/nmtma/6007.html
KW - Optimal control theory, Fredholm integral equations of second kind, iterative methods.
AB - <p style="text-align: justify;">The formulation of optimal control problems governed
by Fredholm integral equations of second kind and an efficient computational framework
for solving these control problems is presented.
Existence and uniqueness of optimal solutions is proved. A collective Gauss-Seidel scheme
and a multigrid scheme are discussed. Optimal computational performance of these
iterative schemes is proved by local Fourier analysis and demonstrated by results
of numerical experiments.</p>