Academic literature on the topic 'Variational inequalities (Mathematics)'

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Dissertations / Theses on the topic "Variational inequalities (Mathematics)"

1

Riaz, Samia. "Domain decomposition method for variational inequalities." Thesis, University of Birmingham, 2014. http://etheses.bham.ac.uk//id/eprint/4815/.

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Variational inequalities have found many applications in applied science. A partial list includes obstacles problems, fluid flow in porous media, management science, traffic network, and financial equilibrium problems. However, solving variational inequalities remain a challenging task as they are often subject to some set of complex constraints, for example the obstacle problem. Domain decomposition methods provide great flexibility to handle these types of problems. In our thesis we consider a general variational inequality, its finite element formulation and its equivalence with linear and
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Zhang, Guohan. "Complementarity problems, variational inequalities and extended Lorentz cones." Thesis, University of Birmingham, 2017. http://etheses.bham.ac.uk//id/eprint/8003/.

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In this thesis, we introduced the concept of extended Lorentz cones. We discussed the solvability of variational inequalities and complementarity problems associated with an unrelated closed convex cone. This cone does not have to be an isotone projection cone. We showed that the solution of variational inequalities and complementarity problems can be reached as a limit of a sequence defined in an ordered space which is ordered by extended Lorentz cone. Moreover, we applied our results in game theory and conic optimization problems. We also discussed the positive operators. We showed necessary
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Denault, M. (Michel). "Variational inequalities with the analytic center cutting plane method." Thesis, McGill University, 1998. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=34945.

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This thesis concerns the solution of variational inequalities (VIs) with analytic center cutting plane methods (ACCPMs). A convex feasibility problem reformulation of the variational inequality is used; this reformulation applies to VIs defined with pseudo-monotone, single-valued mappings or with maximal monotone, multi-valued mappings.<br>Two cutting plane methods are presented: the first is based on linear cuts while the second uses quadratic cuts. The first method, ACCPM-VI (linear cuts), requires mapping evaluations but no Jacobian evaluations; in fact, no differentiability assumption is n
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Liu, Wenbin. "Optimal shape design for systems governed by variational inequalities." Thesis, University of Leeds, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.293800.

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Sarbu, Lavinia. "Primal-dual active set methods for Allen-Cahn variational inequalities." Thesis, University of Sussex, 2010. http://sro.sussex.ac.uk/id/eprint/6267/.

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This thesis aims to introduce and analyse a primal-dual active set strategy for solving Allen-Cahn variational inequalities. We consider the standard Allen-Cahn equation with non-local constraints and a vector-valued Allen-Cahn equation with and without non-local constraints. Existence and uniqueness results are derived in a formulation involving Lagrange multipliers for local and non-local constraints. Local Convergence is shown by interpreting the primal-dual active set approach as a semi-smooth Newton method. Properties of the method are discussed and several numerical simulations in two an
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Swaters, Gordon Edwin. "On the stability and propagation of barotropic modons in slowly varying media." Thesis, [S.l. : s.n.], 1985. http://catalog.hathitrust.org/api/volumes/oclc/13002210.html.

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Chengalur-Smith, Indushobha Narayanan. "Variable sampling in multiparameter Shewhart charts." Diss., Virginia Polytechnic Institute and State University, 1989. http://hdl.handle.net/10919/54782.

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This dissertation deals with the use of Shewhart control charts, modified to have variable sampling intervals, to simultaneously monitor a set of parameters. Fixed sampling interval control charts are modified to utilize sampling intervals that vary depending on what is being observed from the data. Two problems are emphasized, namely, the simultaneous monitoring of the mean and the variance and the simultaneous monitoring of several means. For each problem, two basic strategies are investigated. One strategy uses separate control charts for each parameter. A second strategy uses a single stat
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Detournay, Sylvie. "Méthodes multigrilles pour les jeux stochastiques à deux joueurs et somme nulle, en horizon infini." Phd thesis, Ecole Polytechnique X, 2012. http://pastel.archives-ouvertes.fr/pastel-00762010.

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Dans cette thèse, nous proposons des algorithmes et présentons des résultats numériques pour la résolution de jeux répétés stochastiques, à deux joueurs et somme nulle dont l'espace d'état est de grande taille. En particulier, nous considérons la classe de jeux en information complète et en horizon infini. Dans cette classe, nous distinguons d'une part le cas des jeux avec gain actualisé et d'autre part le cas des jeux avec gain moyen. Nos algorithmes, implémentés en C, sont principalement basés sur des algorithmes de type itérations sur les politiques et des méthodes multigrilles. Ces algorit
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Klein, Nicole [Verfasser]. "Consistent FE-analysis of elliptic variational inequalities / Nicole Klein." Siegen : Universitätsbibliothek der Universität Siegen, 2013. http://d-nb.info/1034425897/34.

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10

Kulieva, Gulchehra. "Some special problems in elliptic and parabolic variational inequalities." Licentiate thesis, Luleå : Department of Mathematics, Luleå University of Technology, 2006. http://epubl.ltu.se/1402-1757/2006/77/.

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