Leugering G (2008)
Publication Status: Published
Publication Type: Authored book, Volume of book series
Publication year: 2008
Book Volume: 60
Pages Range: 119-130
Event location: St. Wolfgang /Strobl
ISBN: 9783540751984
DOI: 10.1007/978-3-540-75199-1_10
We consider optimal control problems for elliptic systems under control constraints on networked domains. In particular, we study such systems in a format that allows for applications in problems including membranes and Reissner-Mindlin plates on multi-link-domains, called networks. We first provide the models, derive first order optimality conditions in terms of variational equations and inequalities for a control-constrained linear-quadratic optimal control problem, and then introduce a non-overlapping iterative domain decomposition method, which is based on Robin-type interface updates at multiple joints (edges). We prove convergence of the iteration and derive a posteriori error estimates with respect to the iteration across the interfaces.
APA:
Leugering, G. (2008). Domain decomposition of constrained optimal control problems for 2d elliptic system on networked domains: convergence and a posteriori error estimates.
MLA:
Leugering, Günter. Domain decomposition of constrained optimal control problems for 2d elliptic system on networked domains: convergence and a posteriori error estimates. 2008.
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