Optimization and Engineering

, Volume 13, Issue 3, pp 389–400 | Cite as

Control nonlinear diffusion macro-hybrid mixed variational problems



Monotone control nonlinear diffusion, primal macro-hybrid mixed variational problems, in reflexive Banach spaces, are analyzed. Composition duality principles, based on coupling compatibility conditions, establish macro-hybrid, mixed and primal equivalent variational solvabilities. Qualitative properties as existence, uniqueness and stability are determined. Macro-hybridization is performed for spatial parallel analysis and computation, in terms of non-overlapping multidomain decompositions, with primal transmission conditions dualized.


Control nonlinear diffusion problem Composition duality principle Qualitative variational analysis Macro-hybrid mixed formulation Non-overlapping domain decomposition Dual transmission problem 


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Departamento de Recursos Naturales, Instituto de GeofísicaUniversidad Nacional Autónoma de MéxicoMéxicoMexico

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