Optimal Control in Heterogeneous Domain Decomposition Methods for Advection-Diffusion Equations
Monday 23rd January 2006
Agoshkov, Valery; Gervasio, Paola; Quarteroni, Alfio
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.