Year: 2011
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 3 : pp. 443–465
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-695
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 3 : pp. 443–465
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Nonoverlapping domain decomposition method elliptic boundary control problem elliptic boundary value problem MPI.