Agoshkov, Valery I.Gervasio, PaolaQuarteroni, Alfio2019-08-232019-08-232019-08-23200510.1515/1569398054308603https://infoscience.epfl.ch/handle/20.500.14299/160177WOS:0002306752000017123Some 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.text::journal::journal article::research article