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

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Published: 4 June 2021

Last updated: 30 January 2023

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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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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11

Butz, Martin [Verfasser], and Harald [Akademischer Betreuer] Garcke. "Computational methods for Cahn-Hilliard variational inequalities / Martin Butz. Betreuer: Harald Garcke." Regensburg : Universitätsbibliothek Regensburg, 2012. http://d-nb.info/1023362139/34.

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12

Glas, Silke [Verfasser]. "Noncoercive and parabolic variational inequalities : analysis, applications and model reduction / Silke Glas." Ulm : Universität Ulm, 2018. http://d-nb.info/1166756882/34.

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13

Tietz, Christoph [Verfasser], Siegfried Gutachter] Carl, and Dumitru [Gutachter] [Motreanu. "Variational inequalities with multivalued bifunctions / Christoph Tietz ; Gutachter: Siegfried Carl, Dumitru Motreanu." Halle (Saale) : Universitäts- und Landesbibliothek Sachsen-Anhalt, 2019. http://d-nb.info/1210731800/34.

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14

Tietz, Christoph [Verfasser], Siegfried [Gutachter] Carl, and Dumitru [Gutachter] Motreanu. "Variational inequalities with multivalued bifunctions / Christoph Tietz ; Gutachter: Siegfried Carl, Dumitru Motreanu." Halle (Saale) : Universitäts- und Landesbibliothek Sachsen-Anhalt, 2019. http://d-nb.info/1210731800/34.

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15

Köhler, Karoline Sophie. "On efficient a posteriori error analysis for variational inequalities." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17635.

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Effiziente und zuverlässige a posteriori Fehlerabschätzungen sind eine Hauptzutat für die effiziente numerische Berechnung von Lösungen zu Variationsungleichungen durch die Finite-Elemente-Methode. Die vorliegende Arbeit untersucht zuverlässige und effiziente Fehlerabschätzungen für beliebige Finite-Elemente-Methoden und drei Variationsungleichungen, nämlich dem Hindernisproblem, dem Signorini Problem und dem Bingham Problem in zwei Raumdimensionen. Die Fehlerabschätzungen hängen vom zum Problem gehörenden Lagrange Multiplikator ab, der eine Verbindung zwischen der Variationsungleich

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16

Zhang, Zhenying Verfasser], Karen [Akademischer Betreuer] [Veroy, and Michael [Akademischer Betreuer] Herty. "Certified reduced basis method for variational inequalities / Zhenying Zhang ; Karen Paula Veroy-Grepl, Michael Matthias Herty." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/1156922216/34.

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17

Zhang, Zhenying [Verfasser], Karen [Akademischer Betreuer] Veroy, and Michael [Akademischer Betreuer] Herty. "Certified reduced basis method for variational inequalities / Zhenying Zhang ; Karen Paula Veroy-Grepl, Michael Matthias Herty." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/1156922216/34.

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18

Kober, Bernhard [Verfasser], and Gerhard [Akademischer Betreuer] Starke. "Stress-based finite element methods for variational inequalities in contact mechanics / Bernhard Kober ; Betreuer: Gerhard Starke." Duisburg, 2020. http://d-nb.info/120400417X/34.

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19

Betz, Thomas [Verfasser], Christian [Akademischer Betreuer] Meyer, and Roland [Gutachter] Herzog. "Optimal control of two variational inequalities arising in solid mechanics / Thomas Betz. Betreuer: Christian Meyer. Gutachter: Roland Herzog." Dortmund : Universitätsbibliothek Dortmund, 2015. http://d-nb.info/1102159395/34.

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20

Betz, Thomas [Verfasser], Christian Akademischer Betreuer] Meyer, and Roland [Gutachter] [Herzog. "Optimal control of two variational inequalities arising in solid mechanics / Thomas Betz. Betreuer: Christian Meyer. Gutachter: Roland Herzog." Dortmund : Universitätsbibliothek Dortmund, 2015. http://nbn-resolving.de/urn:nbn:de:101:1-201605302603.

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21

Rösel, Simon. "Approximation of nonsmooth optimization problems and elliptic variational inequalities with applications to elasto-plasticity." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2017. http://dx.doi.org/10.18452/17778.

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Optimierungsprobleme und Variationsungleichungen über Banach-Räumen stellen Themen von substantiellem Interesse dar, da beide Problemklassen einen abstrakten Rahmen für zahlreiche Anwendungen aus verschiedenen Fachgebieten stellen. Nach einer Einführung in Teil I werden im zweiten Teil allgemeine Approximationsmethoden, einschließlich verschiedener Diskretisierungs- und Regularisierungsansätze, zur Lösung von nichtglatten Variationsungleichungen und Optimierungsproblemen unter konvexen Restriktionen vorgestellt. In diesem allgemeinen Rahmen stellen sich gewisse Dichtheitseigenscha

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22

Gaevskaya, Alexandra [Verfasser], and Ronald H. W. [Akademischer Betreuer] Hoppe. "Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type / Alexandra Gaevskaya. Betreuer: Ronald H. W. Hoppe." Augsburg : Universität Augsburg, 2013. http://d-nb.info/1077703309/34.

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23

Köhler, Karoline Sophie [Verfasser], Carsten [Gutachter] Carstensen, Andreas [Gutachter] Schröder, and Neela [Gutachter] Nataraj. "On efficient a posteriori error analysis for variational inequalities / Karoline Sophie Köhler ; Gutachter: Carsten Carstensen, Andreas Schröder, Neela Nataraj." Berlin : Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://d-nb.info/1119861543/34.

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24

Harms, Nadja [Verfasser], and Christian [Gutachter] Kanzow. "Primal and Dual Gap Functions for Generalized Nash Equilibrium Problems and Quasi-Variational Inequalities / Nadja Harms. Gutachter: Christian Kanzow." Würzburg : Universität Würzburg, 2014. http://d-nb.info/1102828769/34.

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25

Abbas, Lamia. "Inégalités de Landau-Kolmogorov dans des espaces de Sobolev." Phd thesis, INSA de Rouen, 2012. http://tel.archives-ouvertes.fr/tel-00776349.

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Ce travail est dédié à l'étude des inégalités de type Landau-Kolmogorov en normes L2. Les mesures utilisées sont celles d'Hermite, de Laguerre-Sonin et de Jacobi. Ces inégalités sont obtenues en utilisant une méthode variationnelle. Elles font intervenir la norme d'un polynômes p et celles de ces dérivées. Dans un premier temps, on s'intéresse aux inégalités en une variable réelle qui font intervenir un nombre quelconque de normes. Les constantes correspondantes sont prises dans le domaine où une certaine forme bilinéaire est définie positive. Ensuite, on généralise ces résultats aux polynômes

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26

Christof, Constantin [Verfasser], Christian [Akademischer Betreuer] Meyer, and Martin [Gutachter] Brokate. "Sensitivity analysis of elliptic variational inequalities of the first and the second kind / Constantin Christof ; Gutachter: Martin Brokate ; Betreuer: Christian Meyer." Dortmund : Universitätsbibliothek Dortmund, 2018. http://d-nb.info/1163452335/34.

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27

Rösel, Simon [Verfasser], Michael [Gutachter] Hintermüller, Roland [Gutachter] Glowinski, and Batmanathan Dayanand [Gutachter] Reddy. "Approximation of nonsmooth optimization problems and elliptic variational inequalities with applications to elasto-plasticity / Simon Rösel ; Gutachter: Michael Hintermüller, Roland Glowinski, Batmanathan Dayanand Reddy." Berlin : Mathematisch-Naturwissenschaftliche Fakultät, 2017. http://d-nb.info/1135241651/34.

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28

Sigstam, Kibret Negussie. "Optimization and estimation of solutions of Riccati equations /." Uppsala : Matematiska institutionen, Univ. [distributör], 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-4288.

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29

Strogies, Nikolai. "Optimization of nonsmooth first order hyperbolic systems." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17633.

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Wir betrachten Optimalsteuerungsprobleme, die von partiellen Differentialgleichungen beziehungsweise Variationsungleichungen mit Differentialoperatoren erster Ordnung abhängen. Wir führen die Reformulierung eines Tagebauplanungsproblems, das auf stetigen Funktionen beruht, ein. Das Resultat ist ein Optimalsteuerungsproblem für Viskositätslösungen einer Eikonalgleichung. Die Existenz von Lösungen dieses und bestimmter Hilfsprobleme, die von semilinearen PDG‘s mit künstlicher Viskosität abhängen, wird bewiesen, Stationaritätsbedingungen hergeleitet und ein schwaches Konsistenzresultat für statio

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30

Merdon, Christian. "Aspects of guaranteed error control in computations for partial differential equations." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2013. http://dx.doi.org/10.18452/16818.

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Diese Arbeit behandelt garantierte Fehlerkontrolle für elliptische partielle Differentialgleichungen anhand des Poisson-Modellproblems, des Stokes-Problems und des Hindernisproblems. Hierzu werden garantierte obere Schranken für den Energiefehler zwischen exakter Lösung und diskreten Finite-Elemente-Approximationen erster Ordnung entwickelt. Ein verallgemeinerter Ansatz drückt den Energiefehler durch Dualnormen eines oder mehrerer Residuen aus. Hinzu kommen berechenbare Zusatzterme, wie Oszillationen der gegebenen Daten, mit expliziten Konstanten. Für die Abschätzung der Dualnormen der Resi

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31

Wang, Hao. "Incremental sheet forming process : control and modelling." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:a80370f5-2287-4c6b-b7a4-44f06211564f.

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Incremental Sheet Forming (ISF) is a progressive metal forming process, where the deformation occurs locally around the point of contact between a tool and the metal sheet. The final work-piece is formed cumulatively by the movements of the tool, which is usually attached to a CNC milling machine. The ISF process is dieless in nature and capable of producing different parts of geometries with a universal tool. The tooling cost of ISF can be as low as 5–10% compared to the conventional sheet metal forming processes. On the laboratory scale, the accuracy of the parts created by ISF is between ±1

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32

Eriksson, Jonatan. "On the pricing equations of some path-dependent options." Doctoral thesis, Uppsala : Department of Mathematics, Univ. [distributör], 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-6329.

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33

Ponomarenko, Andrej. "Lösungsmethoden für Variationsungleichungen." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2003. http://dx.doi.org/10.18452/14841.

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Zusammenfassung Diese Arbeit ist ein Versuch, verschiedene klassische und neuere Methodender glatten bzw. nichtglatten Optimierung zu verallgemeinern und in ihrem Zusammenhang darzustellen. Als Hauptinstrument erweist sich dabei die sogenannte verallgemeinerte Kojima-Funktion. Neben reichlichen Beispielen setzen wir einen besonderen Akzent auf die Betrachtung von Variationsungleichungen, Komplementaritaetsaufgaben und der Standartaufgabeder mathematischen Programmierung. Unter natuerlichen Voraussetzungen an diese Probleme kann man u.a. Barriere-, Straf- und SQP-Typ-Methoden, die auf Newto

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34

"On merit functions and error bounds for variational inequality problem." 2004. http://library.cuhk.edu.hk/record=b5892104.

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Li Guo-Yin.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2004.<br>Includes bibliographical references (leaves 105-107).<br>Abstracts in English and Chinese.<br>Chapter 1 --- Introduction --- p.1<br>Chapter 1.1 --- Examples for the variational inequality problem --- p.2<br>Chapter 1.2 --- Approaches for variational inequality problem --- p.7<br>Chapter 1.3 --- Error bounds results for variational inequality problem --- p.8<br>Chapter 1.4 --- Organization --- p.9<br>Chapter 2 --- Solution Theory --- p.11<br>Chapter 2.1 --- "Elementary Convex Analysis, Nonsmooth Analysis and Degre

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35

"Solving variational inequalities and related problems using recurrent neural networks." Thesis, 2007. http://library.cuhk.edu.hk/record=b6074418.

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During the past two decades, numerous recurrent neural networks (RNNs) have been proposed for solving VIs and related problems. However, first, the theories of many emerging RNNs have not been well founded yet; and their capabilities have been underestimated. Second, these RNNs have limitations in handling some types of problems. Third, it is certainly not true that these RNNs are best choices for solving all problems, and new network models with more favorable characteristics could be devised for solving specific problems.<br>In the research, the above issues are extensively explored from dyn

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36

"On merit functions, error bounds, minimizing and stationary sequences for nonsmooth variational inequality problems." Thesis, 2005. http://library.cuhk.edu.hk/record=b6074106.

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First, we study the associated regularized gap functions and the D-gap functions and compute their Clarke-Rockafellar directional derivatives and the Clarke generalized gradients. Second, using these tools and extending the works of Fukushima and Pang (who studied the case when F is smooth), we present results on the relationship between minimizing sequences and stationary sequences of the D-gap functions, regardless the existence of solutions of (VIP). Finally, as another application, we show that, under the strongly monotonicity assumption, the regularized gap functions have fractional expon

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37

"On asymptotic analysis and error bounds in optimization." 2001. http://library.cuhk.edu.hk/record=b6073326.

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He Yiran.<br>Includes index.<br>Thesis (Ph.D.)--Chinese University of Hong Kong, 2001.<br>Includes bibliographical references (p. 74-80) and index..<br>Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web.<br>Mode of access: World Wide Web.<br>Abstracts in English and Chinese.

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38

Pan, Jie. "Variational inequalities in the modelling and computation of spatial economic equilibria: Structural reformulations and the method of multipliers." 1992. https://scholarworks.umass.edu/dissertations/AAI9233126.

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Variational inequalities have been used to study problems involving partial differential equations with unilateral constraints, such as free-boundary problems. They have also gained much recent interest in the field of operations research, particularly in the study of competitive equilibrium problems. The main focus of this work is to develop efficient algorithms for the computation of large-scale economic equilibria under weaker conditions than those considered previously. The prototype that we use in the analysis is the spatial market equilibrium system with direct price functions. We take a

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39

Porwal, Kamana. "A Posteriori Error Analysis of Discontinuous Galerkin Methods for Elliptic Variational Inequalities." Thesis, 2014. http://hdl.handle.net/2005/3107.

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The main emphasis of this thesis is to study a posteriori error analysis of discontinuous Galerkin (DG) methods for the elliptic variational inequalities. The DG methods have become very pop-ular in the last two decades due to its nature of handling complex geometries, allowing irregular meshes with hanging nodes and different degrees of polynomial approximation on different ele-ments. Moreover they are high order accurate and stable methods. Adaptive algorithms reﬁne the mesh locally in the region where the solution exhibits irregular behaviour and a posteriori error estimates are the main in

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40

Sedebo, Getachew Temesgen. "The dynamics of a forced and damped two degrees of freedom spring pendulum." 2013. http://encore.tut.ac.za/iii/cpro/DigitalItemViewPage.external?sp=1001091.

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M. Tech. Mathematical Technology.<br>Discusses the main problems in terms of how to derive mathematical models for a free, a forced and a damped spring pendulum and determining numerical solutions using a computer algebra system (CAS), because exact analytical solutions are not obvious. Hence this mini-dissertation mainly deals with how to derive mathematical models for the spring pendulum using the Euler-Lagrange equations both in the Cartesian and polar coordinate systems and finding solutions numerically. Derivation of the equations of motion are done for the free, forced and damped cases o

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41

"Non-linear functional analysis and vector optimization." 1999. http://library.cuhk.edu.hk/record=b5889846.

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by Yan Shing.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.<br>Includes bibliographical references (leaves 78-80).<br>Abstract also in Chinese.<br>Chapter 1 --- Admissible Points of Convex Sets --- p.7<br>Chapter 1.1 --- Introduction and Notations --- p.7<br>Chapter 1.2 --- The Main Result --- p.7<br>Chapter 1.2.1 --- The Proof of Theoreml.2.1 --- p.8<br>Chapter 1.3 --- An Application --- p.10<br>Chapter 2 --- A Generalization on The Theorems of Admissible Points --- p.12<br>Chapter 2.1 --- Introduction and Notations --- p.12<br>Chapter 2.2 --- Fundamental Lemmas --- p.14

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42

Ptashnyk, Mariya [Verfasser]. "Nonlinear pseudoparabolic equations and variational inequalities / vorgelegt von Mariya Ptashnyk." 2004. http://d-nb.info/972054200/34.

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43

Krebs, Andreas [Verfasser]. "On solving nonlinear variational inequalities by p-version finite elements / von Andreas Krebs." 2004. http://d-nb.info/974375454/34.

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"Functions of bounded variation and the isoperimetric inequality." 2013. http://library.cuhk.edu.hk/record=b5884417.

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Lin, Jessey.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2013.<br>Includes bibliographical references (leaves 79-80).<br>Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web.

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45

Lkhamsuren, Altangerel [Verfasser]. "A duality approach to gap functions for variational inequalities and equilibrium problems / vorgelegt von Lkhamsuren Altangerel." 2006. http://d-nb.info/980955939/34.

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