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V. I. Agoshkov, P. Gervasio, A. Quarteroni

Optimal control in heterogeneous domain decomposition methods

Some new domain decomposition methods (DDM) based on optimal control approach are introduced for the coupling of first- and second-order equations on overlapping subdomains. Several cost functionals and control functions are proposed. Uniqueness and existence results are proved for the coupled problem and the convergence of iterative processes is analyzed.

Russian Journal of Numerical Analysis and Mathematical Modelling, Walter de Gruyter

Print ISSN: 0927-6467
Volume: 20, 06/2005
Pages: 229 - 246

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