@Article{IJNAM-4-3-4,
author = {Yang, Sung-Dae},
title = {Shooting Methods for Numerical Solutions of Exact Controllability Problems Constrained by Linear and Semilinear 2-D Wave Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2007},
volume = {4},
number = {3-4},
pages = {625--647},
abstract = {<p style="text-align: justify;">Numerical solutions of exact controllability problems for
linear and semilinear 2-d wave equations with distributed controls are
studied. Exact controllability problems can be solved by the
corresponding optimal control problems. The optimal control problem is
reformulated as a system of equations (an optimality system) that
consists of an initial value problem for the underlying (linear or
semilinear) wave equation and a terminal value problem for the adjoint
wave equation. The discretized optimality system is solved by a shooting
method. The convergence properties of the numerical shooting method in
the context of exact controllability are illustrated through
computational experiments.</p>},
issn = {2617-8710},
doi = {https://doi.org/2007-IJNAM-881},
url = {https://global-sci.com/article/83797/shooting-methods-for-numerical-solutions-of-exact-controllability-problems-constrained-by-linear-and-semilinear-2-d-wave-equations}
}