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.

Optimal Control in Heterogeneous Domain Decomposition Methods for Advection-Diffusion Equations

QUARTERONI, ALFIO MARIA
2006-01-01

Abstract

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.
2006
Domain decomposition methods - optimal control theory - heterogeneous problems
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/553093
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