Analysis of Evolution Macro-Hybrid Mixed Variational Problems
نویسنده
چکیده
The purpose of this study is to apply composition duality methods in the qualitative analysis of evolution linear mixed variational problems. Primal and dual evolution mixed formulations are considered, as well as corresponding macro-hybrid variational models for parallel computing. The well-posedness, stability and convergence analysis of macro-hybrid mixed semi-discrete approximations is performed. Mathematics Subject Classification: 35J50, 65M60, 74S05
منابع مشابه
Hadamard Well-posedness for a Family of Mixed Variational Inequalities and Inclusion Problems
In this paper, the concepts of well-posednesses and Hadamard well-posedness for a family of mixed variational inequalities are studied. Also, some metric characterizations of them are presented and some relations between well-posedness and Hadamard well-posedness of a family of mixed variational inequalities is studied. Finally, a relation between well-posedness for the family of mixed variatio...
متن کاملAdaptive Mixed Hybrid and Macro - HybridFinite Element
In this paper, we consider eecient multilevel based iterative solvers and ee-cient and reliable a posteriori error estimators for mixed hybrid and macro-hybrid nite element discretizations of elliptic boundary value problems. We give an overview concerning the state-of-the-art techniques for these nonconforming approaches and illustrate the performance of the adaptivity concepts realized by som...
متن کاملVARIATIONAL DISCRETIZATION AND MIXED METHODS FOR SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS WITH INTEGRAL CONSTRAINT
The aim of this work is to investigate the variational discretization and mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral constraint. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is not discreted. Optimal error estimates in L2 are established for the state...
متن کاملA New Hybrid Iterative Algorithm for Fixed-Point Problems, Variational Inequality Problems, and Mixed Equilibrium Problems
We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a monotone mapping, and the set of solutions of a mixed equilibrium problem. This study, proves a strong convergence theorem by the proposed hybrid iterative algorithm which solves fixed-point ...
متن کاملEvolution Mixed Variational Inclusions with Optimal Control
Evolution mixed maximal monotone variational inclusions with optimal control, in reflexive Banach spaces, are analized. Solvability analysis is performed on the basis of composition duality principles. Applications to nonlinear diffusion constrained problems, as well as to quasistatic elastoviscoplastic contact problems exemplify the theory.
متن کامل