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Dissertations / Theses on the topic 'Lagrange equations'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

Warren, Micah. "Special Lagrangian equations /." Thesis, Connect to this title online; UW restricted, 2008. http://hdl.handle.net/1773/5749.

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2

Haskins, Mark. "Constructing special Lagrangian cones /." Digital version accessible at:, 2000. http://wwwlib.umi.com/cr/utexas/main.

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3

Ware, Antony Frank. "A spectral Lagrange-Galerkin method for convection-dominated diffusion equations." Thesis, University of Oxford, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302896.

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4

CAMALET, EUGENE. "Methodes de couplage euler-lagrange pour les equations d'euler-poisson." Paris 6, 1995. http://www.theses.fr/1995PA066276.

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Nous etudions dans une premiere partie la modelisation d'un plasma froid par les equations d'euler-poisson sans pression. La description lagrangienne des equations de convection permet de prendre en compte les phenomenes de deferlement (vitesses multivoques) apparaissant dans ce type de plasma. Les instabilites dues a la methode particule/maille sont resorbees par l'introduction d'une pression numerique. La seconde partie est consacree a la simulation de dispositifs semiconducteurs de type mesfet et diode par un modele hydrodynamique isotherme. Les collisions sont modelisees par un terme de re

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5

Stoffel, Joshua David. "Lagrange-Chebyshev Based Single Step Methods for Solving Differential Equations." University of Akron / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=akron1335299082.

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6

Priestley, A. "Lagrange and characteristic Galerkin methods for evolutionary problems." Thesis, University of Oxford, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.376942.

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7

Baturin, Nickolay G. "Dynamics and effects of the tropical instability waves /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1997. http://wwwlib.umi.com/cr/ucsd/fullcit?p9737308.

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8

Danish, Md. "Lagrangian tracking, analysis and modeling of velocity-gradient dynamics in compressible turbulence." Thesis, IIT Delhi, 2017. http://localhost:8080/xmlui/handle/12345678/7060.

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9

Theron, Willem Frederick Daniel. "Analysis of the rolling motion of loaded hoops /." Link to the online version, 2008. http://hdl.handle.net/10019.1/1206.

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10

Baker, M. D. "A spectral Lagrange-Galerkin method for periodic/non-periodic convection-dominated diffusion problems." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240539.

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11

Schneider, David. "Nonholonomic Euler-Poincaré equations and stability in Chaplygin's sphere /." Thesis, Connect to this title online; UW restricted, 2000. http://hdl.handle.net/1773/5783.

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12

Barlow, Andrew. "An adaptive multi-material Arbitrary Lagrangian Eulerian algorithm for computational shock hydrodynamics." Thesis, Swansea University, 2002. https://cronfa.swan.ac.uk/Record/cronfa43081.

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13

Bessette, Gregory Carl. "Modeling of impact problems using an H-adaptive, explicit Lagrangian finite element method in three dimensions /." Full text (PDF) from UMI/Dissertation Abstracts International, 2000. http://wwwlib.umi.com/cr/utexas/fullcit?p3004213.

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14

Dean, Bruce H. "Variational results and solutions in gauge gravity and a bifurcation analysis of black hole orbital dynamics." Morgantown, W. Va. : [West Virginia University Libraries], 1999. http://etd.wvu.edu/templates/showETD.cfm?recnum=859.

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Thesis (Ph. D.)--West Virginia University, 1999.<br>Title from document title page. Document formatted into pages; contains ix, 223 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 214-223) and index.

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15

Tröltzsch, Fredi. "On the Lagrange-Newton-SQP Method for the Optimal Control of Semilinear Parabolic Equations." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800995.

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A class of Lagrange-Newton-SQP methods is investigated for optimal control problems governed by semilinear parabolic initial- boundary value problems. Distributed and boundary controls are given, restricted by pointwise upper and lower bounds. The convergence of the method is discussed in appropriate Banach spaces. Based on a weak second order sufficient optimality condition for the reference solution, local quadratic convergence is proved. The proof is based on the theory of Newton methods for generalized equations in Banach spaces.

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16

Bermejo, Rodolfo. "Analysis of a Galerkin-Characteristic algorithm for the potential vorticity-stream function equations." Thesis, University of British Columbia, 1990. http://hdl.handle.net/2429/30561.

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In this thesis we develop and analyze a Galerkin-Characteristic method to integrate the potential vorticity equations of a baroclinic ocean. The method proposed is a two stage inductive algorithm. In the first stage the material derivative of the potential vorticity is approximated by combining Galerkin-Characteristic and Particle methods. This yield a computationally efficient algorithm for this stage. Such an algorithm consists of updating the dependent variable at the grid points by cubic spline interpolation at the foot of the characteristic curves of the advective component of t

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17

Frink, Neal T. "Three-dimensional upward scheme for solving the Euler equations on unstructured tetrahedral grids." Diss., Virginia Tech, 1991. http://hdl.handle.net/10919/39423.

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A new upwind scheme is developed for solving the three-dimensional Euler equations on unstructured tetrahedral meshes. The method yields solution accuracy and efficiency comparable to that currently available from similar structured-grid codes. The key to achieving this result is a novel cell reconstruction process which is based on an analytical formulation for computing solution gradients within tetrahedral cells. Prior methodology requires the application of cumbersome numerical procedures to evaluate surface integrals around the cell volume. The result is that higher-order differences can

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18

COUSSEMENT, GREGORY. "Equations d'euler-lagrange d'une methode d'optimisation et d'adaptation de maillages et unification avec d'autres methodes." Paris 11, 1996. http://www.theses.fr/1996PA112063.

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Cette these a pour objet de contribuer a l'evolution des techniques de construction de maillages par l'etude et la mise en uvre des equations d'euler-lagrange tridimensionnelles d'une methode variationnelle d'optimisation et d'adaptation de maillages structures par sous-domaines ainsi que par l'unification de la methode avec d'autres methodes populaires variationnelles et elliptiques. L'etude generalisee des fondements de la methode d'optimisation et d'adaptation consideree met en evidence les hypotheses utilisees initialement par jacquotte pour mesurer la deformation directe du maillage vis a

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19

Hu, Guanghui. "Numerical simulations of the steady Euler equations on unstructured grids." HKBU Institutional Repository, 2009. http://repository.hkbu.edu.hk/etd_ra/1106.

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20

McCabe, Ryan Matthew. "Small-scale coastal dynamics and mixing from a Lagrangian perspective /." Thesis, Connect to this title online; UW restricted, 2008. http://hdl.handle.net/1773/10963.

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21

Bagderina, Yulia, and Nikolai Tarkhanov. "Differential invariants of a class of Lagrangian systems with two degrees of freedom." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6312/.

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We consider systems of Euler-Lagrange equations with two degrees of freedom and with Lagrangian being quadratic in velocities. For this class of equations the generic case of the equivalence problem is solved with respect to point transformations. Using Lie's infinitesimal method we construct a basis of differential invariants and invariant differentiation operators for such systems. We describe certain types of Lagrangian systems in terms of their invariants. The results are illustrated by several examples.

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22

Layton, Richard A. "Analytical system dynamics /." Thesis, Connect to this title online; UW restricted, 1995. http://hdl.handle.net/1773/7131.

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23

Lu, Ming 1968. "A Lagrangian formulation of the Euler equations for subsonic flows /." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=103268.

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This thesis presents a Lagrangian formulation of the Euler equations for subsonic flows. A special coordinate transformation is used to define the Lagrangian coordinates, namely the stream function and the Lagrangian distance, in function of the Cartesian coordinates. This Lagrangian formulation introduces two new geometry state variables, and a Lagrangian behavior parameter defining a pseudo-Lagrangian time used during the iteration procedure to obtain the solution for subsonic flows.<br>The eigenstructure and characteristics analysis for the new system of equations is based on a linear Jacob

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24

Bispo, Rafael Santana. "Simulação harmônica particionada usando um método baseado em multiplicadores de Lagrange." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/265157.

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Orientador: Renato Pavanello<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica<br>Made available in DSpace on 2018-08-18T00:16:08Z (GMT). No. of bitstreams: 1 Bispo_RafaelSantana_M.pdf: 3924997 bytes, checksum: eedf2e79312457d2dfe0c4ce2418dfe4 (MD5) Previous issue date: 2011<br>Resumo: Atualmente, existe uma grande tendência no incremento da produção de energia elétrica através de fontes renováveis. Em especial, a geração de energia elétrica produzida através de parques eólicos tem sido bastante adotada. O projeto desses equipamentos envolve a mo

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25

Oliveira, Anabela Pacheco de Pacheco de Oliveira Anabela De Oliveira Anabela Pacheco. "A comparison of Eulerian-Lagrangian methods for the solution of the transport equation /." Full text open access at:, 1994. http://content.ohsu.edu/u?/etd,208.

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26

DeVries, Mark R. "Vibration of a cantilever beam that slides axially in a rigid frictionless hole." Thesis, Monterey, California : Naval Postgraduate School, 1990. http://handle.dtic.mil/100.2/ADA241352.

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Thesis (M.S. in Mechanical Engineering)--Naval Postgraduate School, September 1990.<br>Thesis Advisor(s): Salinas, David. "September 1990." Description based on title screen as viewed on December 17, 2009. DTIC Identifier(s): Vibration, sliding friction, guns barrels, cantilever beams, Euler equations, finite element analysis, transformations (mathematics), theses, frictionless holes, holes (openings), recoil. Author(s) subject terms: Cantilever beam, finite element method, axial motion, vibration, transient behavior. Includes bibliographical references (p. 110). Also available in print.

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27

Tang, Jiqing. "A Lagrangian heuristic for winner determination problem in combinatorial auctions /." View abstract or full-text, 2004. http://library.ust.hk/cgi/db/thesis.pl?IEEM%202004%20TANG.

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28

Hillmer, Kiekebusch Ingrid Andrea. "Scales of interactions between physical processes, primary producers and nutrients in aquatic ecosystems." University of Western Australia. Centre for Water Research, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0177.

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[Truncated abstract] Estimating internal biogeochemical fluxes is essential to the understanding of the dynamic of aquatic ecosystems. Different ecological approaches have been used to gain insight into the internal cycling, but success has been limited. A critical point is the identification of the characteristic scales of patterns and the underlying processes affecting the behaviour of biological and chemical species. Failing to capture these scales leads to misinterpretation of field and numerical data. In this study, key aspects in the design of ecological surveys are identified to ensure

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29

Oliveira, Anabela Pacheco de. "Eulerian-Lagrangian analysis of transport and residence times in estuaries and coasts /." Full text open access at:, 1997. http://content.ohsu.edu/u?/etd,209.

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30

Thierauf, Rainer Georg. "A Lagrangian for a system of two dyons." PDXScholar, 1988. https://pdxscholar.library.pdx.edu/open_access_etds/3840.

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Maxwell's equations for the electromagnetic field are symmetrized by introducing magnetic charges into the formalism of electrodynamics. The symmetrized equations are solved for the fields and potentials of point particles. Those potentials, some of which are found to be singular along a line, are used to formulate the Lagrangian for a system of two dyons (particles with both electric and magnetic charge). The equations of motion are derived from the Lagrangian. It is shown that the dimensionality constants k and k * , which we r e introduced to define the units of the electromagnetic fields,

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31

Maury, Bertrand. "Resolution numerique des equations de navier-stokes 2d et 3d avec surface libre par une methode euler-lagrange arbitraire." Paris 6, 1995. http://www.theses.fr/1995PA066773.

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Dans le cadre general de l'approche euler-lagrange arbitraire, une methode complete de resolution des equations de navier-stokes avec surface libre par elements finis est presentee. La prise en compte du terme d'inertie et la convection de la surface libre sont bases sur la methode des caracteristiques. Des proprietes de consistance et de conservation de la masse et de l'energie pour le schema propose sont demontrees. Diverses applications 2d et 3d confirment la validite et la stabilite de la methode

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32

Brown, Jaclyn Nicole School of Mathematics UNSW. "The kinematics and dynamics of cross-hemispheric flow in the Central and Eastern Equatorial Pacific." Awarded by:University of New South Wales. School of Mathematics, 2005. http://handle.unsw.edu.au/1959.4/20831.

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This thesis concerns two topics: the kinematics of Pacific cross-equatorial flow ??? the location, timing and magnitude of the flow; and their dynamics???what are the driving forces controlling the flow? Despite extensive observations in the central and eastern Pacific, observations of these flows remain contradictory. We use output from an Ocean General Circulation Model (OGCM) viewed from a Lagrangian framework on density layers. This addresses the problem of high variability due to features such as Tropical Instability Waves. The annual mean flow is found to be southward nearly everywhere

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33

Southern, James Alastair. "Mathematical and computational modelling of ultrasound elasticity imaging." Thesis, University of Oxford, 2006. http://ora.ox.ac.uk/objects/uuid:242fddf0-ef9c-4a90-88f5-c7b41f4bda5a.

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In this thesis a parameter recovery method for use in ultrasound elasticity imaging is developed. Elasticity imaging is a method for using a series of ultrasound images (and the displacement field between them) to estimate the spatial variation of the stiffness of the tissue being imaged. Currently iterative methods are used to do this: a model of tissue mechanics is assumed and a large number of simulations using varying parameters are compared to the actual displacement field. The aim of this work is to develop a solution method that works back from the known displacement field to determine

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34

Maroofi, Hamed. "Applications of the Monge - Kantorovich theory." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/29197.

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35

Mendonça, Luziane Ferreira de. "Aceleração quase-Newton para problemas de minimização com restrições." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306668.

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Orientadores: Vera Lucia da Rocha Lopes, Jose Mario Martinez<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-06T05:45:54Z (GMT). No. of bitstreams: 1 Mendonca_LuzianeFerreirade_D.pdf: 3091539 bytes, checksum: 7c40c0932b2056dbe8dfb8e1f7da8401 (MD5) Previous issue date: 2006<br>Resumo: Sistemas de Otimalidade (ou Sistemas KKT) são sistemas formados pelas condições primais-duais estacionárias para a solução de problemas de otimização. Sob hipóteses adequadas (condições de qualificação),

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36

Altintan, Derya. "An Extension To The Variational Iteration Method For Systems And Higher-order Differential Equations." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613864/index.pdf.

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It is obvious that differential equations can be used to model real-life problems. Although it is possible to obtain analytical solutions of some of them, it is in general difficult to find closed form solutions of differential equations. Finding thus approximate solutions has been the subject of many researchers from different areas. In this thesis, we propose a new approach to Variational Iteration Method (VIM) to obtain the solutions of systems of first-order differential equations. The main contribution of the thesis to VIM is that proposed approach uses restricted variations only for the

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37

Fourestey, Gilles. "Simulation numérique et contrôle optimal d'intéractions fluide incompressible / structure par une méthode de Lagrange-Galerkin d'ordre 2 : Applications aux ouvrages d'art." Marne-la-vallée, ENPC, 2002. http://www.theses.fr/2002ENPC0224.

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38

Dhaouadi, Firas. "An augmented lagrangian approach for Euler-Korteweg type equations." Thesis, Toulouse 3, 2020. http://www.theses.fr/2020TOU30139.

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On présente un modèle hyperbolique quasi-linéaire de premier ordre approximant les équations d'Euler-Korteweg (E-K), qui décrivent des écoulements de fluides compressibles dont l'énergie dépend du gradient de la densité. Le système E-K peut être vu comme les équations d'Euler-Lagrange d'un Lagrangien soumis à la conservation de la masse. Vu la présence du gradient de la densité dans le Lagrangien, des dérivées d'ordre élevé de la densité apparaissent dans les équations du mouvement. L'approche présentée ici permet d'obtenir un système d'équations hyperboliques qui approxime le système E-K. L'i

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39

Awi, Romeo Olivier. "Minimization problems involving polyconvex integrands." Diss., Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/53901.

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This thesis is mainly concerned with problems in the areas of the Calculus of Variations and Partial Differential Equations (PDEs). The properties of the functional to minimize with respect to the given topology play an important role in the existence of minimizers of integral problems. We will introduce the important concepts of quasiconvexity and polyconvexity. Inspired by finite element methods from Numerical Analysis, we introduce a perturbed problem which has some surprising uniqueness properties.

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40

Ennaji, Hamza. "Variational methods for Hamilton-Jacobi equations and applications." Thesis, Limoges, 2021. http://www.theses.fr/2021LIMO0013.

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L’objectif de cette thèse est de proposer des méthodes variationnelles pour l’analyse mathématiques et numérique d’une classe d’équations d’HJ. Le caractère métrique de ces équations permet de caractériser l’ensemble des sous-solutions, à savoir, elles sont 1-Lipschitz par rapport à la distance Finslerienne associée au Hamiltonien. De manière équivalente, cela revient à dire que le gradient de ces fonctions appartient à une certaine boule Finslerienne. La solution recherchée est la sous-solution maximale, qui peut être décrite par une formule du type Hopf-Lax, qui résout un problème de maximis

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41

Danielson, Jon David. "Mobile boom cranes and advanced input shaping control." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/24651.

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42

Tkachenko, Sergey. "Analytical and numerical study of a dispersive shallow water model." Thesis, Aix-Marseille, 2020. http://www.theses.fr/2020AIXM0114.

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Le présent manuscrit est dédié à la modélisation analytique et numérique des systèmes dispersifs non-linéaires, notamment les équations de Serre-Green-Naghdi (SGN) et le modèle du liquide à bulles de Iordanskii-Kogarko-Wijngaarden (IKW). Ces modèles partagent une structure commune. Tout d'abord, les pressions des deux modèles dépendent des dérivées matérielles de leurs variables macroscopiques. Ensuite, les équations de SGN et IKW sont les équations d'Euler-Lagrange qui viennent du principe d'Hamilton de l'action stationnaire, chacun avec son lagrangien naturel. Enfin, les équations sont invar

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43

Li, Chunying Anna. "Theoretical modeling and experimental studies of particle-laden plumes from wastewater discharges." Click to view the E-thesis via HKUTO, 2006. http://sunzi.lib.hku.hk/hkuto/record/B37318640.

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44

Choi, Gyunghyun. "Nondifferentiable optimization algorithms with application to solving Lagrangian dual problems." Diss., Virginia Tech, 1993. http://hdl.handle.net/10919/38657.

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45

Kallel, Achraf. "Une modélisation du contact par l'approche mortier : application à la mise en forme." Thesis, Compiègne, 2014. http://www.theses.fr/2014COMP2173/document.

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Cette thèse est située dans le cadre du projet FUI OASIS ayant comme objectif la modélisation d'un processus d'emboutissage optimisé. Le travail consiste essentiellement au développement des algorithmes de contact plus appropriés à ce type de mise en forme. Dans la littérature et pour plusieurs codes de calcul industriels, l'approche NTS (nœud à segment) demeure la plus utilisée pour la résolution d'un problème de contact. Dans certaine configuration, cette méthode présente des insuffisances et un manque de précision. On la remplaçant par l'approche mortier, on arrive à résoudre une gamme asse

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46

Theron, Willem F. D. "Analysis of the rolling motion of loaded hoops." Thesis, Stellenbosch : University of Stellenbosch, 2008. http://hdl.handle.net/10019.1/1206.

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Thesis (PhD (Mathematical Sciences. Applied Mathematics))--University of Stellenbosch, 2008.<br>This dissertation contains a detailed report on the results of a research project on the behaviour of a dynamical system consisting of a hoop to which a heavy particle is fixed at the rim. This loaded hoop rolls on a rough surface while remaining in the vertical plane. The motion of the hoop consists of various, possibly alternating, phases consisting of rolling without slipping, spinning or skidding motion and in some cases ends by hopping off the surface. A general mathematical model is devel

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47

Fourestey, Gilles. "Simulation numérique et contrôle optimal d'interactions fluide incompressible/structure par une méthode de Lagrange-Galerkin d'ordre 2. Applications aux ouvrages d'art." Phd thesis, Ecole des Ponts ParisTech, 2002. http://tel.archives-ouvertes.fr/tel-00005675.

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Le but de cette thèse est la construction et l'implémentation d'une méthode de Lagrange-Galerkin d'ordre élevé dans un code de simulation d'interactions fluide/structure. Cette méthode repose sur une formulation par éléments finis mixtes et une méthode des caractéristiques d'ordre 2 en maillage fixe ou mobile. La stabilité de ce schéma a été étudiée dans des cas simples. Des analyses aéroélastiques de structures généralement rencontrées dans le Génie Civil ont été effectuées à travers des tests numériques sur des coupes de ponts en mouvements forcés et libres. Les résultats obtenus ont été com

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48

Craig, Rob James. "Modelling of a thermodynamically driven heat engine with application intended for water pumping." Thesis, Stellenbosch : Stellenbosch University, 2014. http://hdl.handle.net/10019.1/95923.

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49

Beersing-Vasquez, Kiran. "Suturing in Surgical Simulations." Thesis, KTH, Numerisk analys, NA, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-260254.

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The goal of this project is to develop virtual surgical simulation software in order to simulate the suturing and knot tying processes associated with surgical thread. State equations are formulated using Lagrangian mechanics, which is useful for the conservation of energy. Solver methods are developed with theory based in Differential Algebraic Equations (DAEs) which concern governing Ordinary Differential Equations (ODEs) that are constraint with Algebraic Equations (AE). An implicit integration scheme and Newton's method is used to solve the system in each step. Furthermore, a collision res

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50

Hariz, Belgacem Khader. "Higher-order Embedding Formalism, Noether’s Theorem on Time Scales and Eringen’s Nonlocal Elastica." Electronic Thesis or Diss., Pau, 2022. https://theses.hal.science/tel-03981833.

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En mathématiques, le calcul des variations est un ensemble de méthodes permettant la détermination de solutions à des problèmes d'optimisation des quantités traduites en termes de fonctionnelle. De nombreuses applications existent, notamment dans la recherche de courbes ou de surfaces minimales. Les systèmes dynamiques considérés sont de natures diverses (équations différentielles, intégrales ou stochastiques) et modélisent des problèmes d'origines multiples : aérospatiale, automobile, biologie, économie, médecine, etc. Le théorème de Noether présente un fort intérêt puisqu'il propose une loi

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