Balancing Neumann-Neumann Methods for Elliptic Optimal Control Problems

Simple item page
dc.contributor.authorHeinkenschloss, Matthias
dc.contributor.authorNguyen, Hoang
dc.date.accessioned2018-06-18T17:51:08Z
dc.date.available2018-06-18T17:51:08Z
dc.date.issued2003-12
dc.date.noteDecember 2003
dc.description.abstractWe present Neumann-Neumann domain decomposition (DD) preconditioners for the solution of elliptic linear quadratic optimal control problems. The preconditioner is applied to the optimality system. A Schur complement formulation is derived that reformulates the original optimality system as a system in the state and adjoint variables restricted to the subdomain boundaries. The application of the Schur complement matrix requires the solution of subdomain optimal control problems with Dirichlet boundary conditions on the subdomain interfaces. The application of the inverses of the subdomain Schur complement matrices require the solution of subdomain optimal control problems with Neumann boundary conditions on the subdomain interfaces. Numerical tests show that the dependence of this preconditioner on mesh size and subdomain size is comparable to its counterpart applied to elliptic equations only.
dc.format.extent8 pp
dc.identifier.citationHeinkenschloss, Matthias and Nguyen, Hoang. "Balancing Neumann-Neumann Methods for Elliptic Optimal Control Problems." (2003) <a href="https://hdl.handle.net/1911/102013">https://hdl.handle.net/1911/102013</a>.
dc.identifier.digitalTR03-17
dc.identifier.urihttps://hdl.handle.net/1911/102013
dc.language.isoeng
dc.relation.HasVersionProceedings of the 15th International Conference on Domain Decomposition, R. Kornhuber, R. H. W. Hoppe, J. Periaux, O. Pironneau, O. B. Widlund, and J. Xu (eds.), Lecture Notes in Computational Science and Engineering, Springer-Verlag, Heidelberg, 2004, pp. 589-596.
dc.titleBalancing Neumann-Neumann Methods for Elliptic Optimal Control Problems
dc.typeTechnical report
dc.type.dcmiText
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
TR03-17.pdf
Size:
110.91 KB
Format:
Adobe Portable Document Format
Download
Collections
CAAM Technical Reports