@Article{IJNAM-8-3,
author = {S., L., Hou and Lee, J.},
title = {A Robin-Robin Non-Overlapping Domain Decomposition Method for an Elliptic Boundary Control Problem},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2011},
volume = {8},
number = {3},
pages = {443--465},
abstract = {<p style="text-align: justify;">A Robin-Robin non-overlapping domain decomposition method
for an optimal boundary control problem associated with an elliptic boundary
value problem is presented. The existence of the whole domain and subdomain
optimal solutions is proven. The convergence of the subdomain optimal solutions
to the whole domain optimal solution is shown. The optimality system is
derived and a gradient-type method is defined for finding the optimal solution.
A theoretic convergence result for the gradient method is established. The
finite element version of the Robin-Robin non-overlapping domain decomposition
method is analyzed and some numerical results by the method on both
serial and parallel computers (using MPI) are presented.</p>},
issn = {2617-8710},
doi = {https://doi.org/2011-IJNAM-695},
url = {https://global-sci.com/article/83564/a-robin-robin-non-overlapping-domain-decomposition-method-for-an-elliptic-boundary-control-problem}
}