Composition Duality Methods for Mixed Variational Inclusions |
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Authors: | Gonzalo Alduncin |
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Affiliation: | (1) Institute of Geophysics, National Autonomous University of Mexico, Cd. Universitaria, Coyoacan 04510-D.F., Mexico |
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Abstract: | Composition duality methods for mixed variational inclusions are studied in a functional framework of reflexive Banach spaces. On the basis of duality principles, the solvability of maximal monotone and subdifferential mixed variational inclusions is established. For computational purposes, mass-preconditioned augmented formulations are introduced for regularization, as well as three-field and macro-hybrid variational versions. At a finite-dimensional level, corresponding discrete mixed and macro-hybrid internal approximations are discussed, as well as proximal-point iterative algorithms. Primal and dual mixed variational inclusions from contact mechanics illustrate the theory. |
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Keywords: | Mixed variational inclusions Duality methods Subdifferential equations Augmented and macro-hybrid formulations Internal approximations Proximal-point algorithms |
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