Abstract

Optimal control of quasistatic elastoviscoplastic macro-hybrid mixed set-valued variational problems are studied. Composition duality methods are the basis of their analysis, in evolution reflexive Banach field spaces. Macro-hybrid set-valued variational formulations, in terms of nonoverlapping multidomains, are the strategy for multi-physics as well as parallel computing. Perturbation conjugate duality results recently established by the author, provide dual macro-hybrid mixed optimality conditions, to which two- and three-field proximal penalty-duality algorithms are further established and analyzed.

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