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Dissertations / Theses on the topic 'Elliptic method'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

Savchuk, Tatyana. "The multiscale finite element method for elliptic problems." Ann Arbor, Mich. : ProQuest, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3245025.

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Thesis (Ph. D. in Applied Mathematics)--Southern Methodist University, 2007.<br>Title from PDF title page (viewed Mar. 18, 2008). Source: Dissertation Abstracts International, Volume: 67-12, Section: B, page: 7120. Adviser: Zhangxin (John) Chen. Includes bibliographical references.

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2

Pomponio, Alessio. "Singularity perturbed elliptic problems." Doctoral thesis, SISSA, 2004. http://hdl.handle.net/20.500.11767/4172.

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3

Loubenets, Alexei. "A new finite element method for elliptic interface problems." Licentiate thesis, KTH, Numerical Analysis and Computer Science, NADA, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3908.

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<p>A finite element based numerical method for the two-dimensional elliptic interface problems is presented. Due to presence of these interfaces the problem will contain discontinuities in the coefficients and singularities in the right hand side that are represented by delta functionals along the interface. As a result, the solution to the interface problem and its derivatives may have jump discontinuities. The introduced method is specifically designed to handle this features of the solution using non-body fitted grids, i.e. the grids are not aligned with the interfaces.</p><p>The main idea

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4

Déchène, Isabelle. "Quaternion algebras and the graph method for elliptic curves." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0024/MQ50750.pdf.

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5

Déchène, Isabelle. "Quaternion algebras and the graph method for elliptic curves." Thesis, McGill University, 1998. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=21537.

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The graph method simultaneously uses the theory of quaternion algebras, elliptic curves and modular forms in order to determine all supersingular points in a given characteristic and hence to obtain a basis of S2(N). The goal of this thesis is to expose the principles of the graph method: it is therefore divided into two main parts: First, we introduce the essentials of the arithmetic of quaternions. This part is made to fit two needs: on one hand, a good introduction or novices; on the other hand, a fast and quick reference for those who are already familiar with the subject. The second part

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6

Elfverson, Daniel. "Discontinuous Galerkin Multiscale Methods for Elliptic Problems." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-138960.

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In this paper a continuous Galerkin multiscale method (CGMM) and a discontinuous Galerkin multiscale method (DGMM) are proposed, both based on the variational multiscale method for solving partial differential equations numerically. The solution is decoupled into a coarse and a fine scale contribution, where the fine-scale contribution is computed on patches with localized right hand side. Numerical experiments are presented where exponential decay of the error is observed when increasing the size of the patches for both CGMM and DGMM. DGMM gives much better accuracy when the same size of the

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7

Gu, Yaguang. "Nonlinear optimized Schwarz preconditioning for heterogeneous elliptic problems." HKBU Institutional Repository, 2019. https://repository.hkbu.edu.hk/etd_oa/637.

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In this thesis, we study problems with heterogeneities using the zeroth order optimized Schwarz preconditioning. There are three main parts in this thesis. In the first part, we propose an Optimized Restricted Additive Schwarz Preconditioned Exact Newton approach (ORASPEN) for nonlinear diffusion problems, where Robin transmission conditions are used to communicate subdomain errors. We find out that for the problems with large heterogeneities, the Robin parameter has a significant impact to the convergence behavior when subdomain boundaries cut through the discontinuities. Therefore, we perfor

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8

Ben, Romdhane Mohamed. "Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/39258.

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A wide range of applications involve interface problems. In most of the cases, mathematical modeling of these interface problems leads to partial differential equations with non-smooth or discontinuous inputs and solutions, especially across material interfaces. Different numerical methods have been developed to solve these kinds of problems and handle the non-smooth behavior of the input data and/or the solution across the interface. The main focus of our work is the immersed finite element method to obtain optimal numerical solutions for interface problems. In this thesis, we present piecew

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9

ZANOTTI, PIETRO. "QUASI-OPTIMAL NONCONFORMING METHODS FOR SYMMETRIC ELLIPTIC PROBLEMS." Doctoral thesis, Università degli Studi di Milano, 2018. http://hdl.handle.net/2434/549113.

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In this PhD thesis we characterize quasi-optimal nonconforming methods for symmetric elliptic linear variational problems and investigate their structure. The abstract analysis is complemented by various applications and numerical tests in the finite element framework. In the first part of the thesis we introduce a rather large class of nonconforming methods, mimicking the variational structure of the model problem. Then, we characterize the subclass of quasi-optimal methods in terms of suitable notions of stability and consistency. We determine also the quasi-optimality constant and obse

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10

Alsaedy, Ammar, and Nikolai Tarkhanov. "The method of Fischer-Riesz equations for elliptic boundary value problems." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/6179/.

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We develop the method of Fischer-Riesz equations for general boundary value problems elliptic in the sense of Douglis-Nirenberg. To this end we reduce them to a boundary problem for a (possibly overdetermined) first order system whose classical symbol has a left inverse. For such a problem there is a uniquely determined boundary value problem which is adjoint to the given one with respect to the Green formula. On using a well elaborated theory of approximation by solutions of the adjoint problem, we find the Cauchy data of solutions of our problem.

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11

Bennett, G. N. "A semi-linear elliptic problem arising in the theory of superconductivity." Thesis, University of Sussex, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340827.

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12

Chen, Xianjin. "Analysis and computation of multiple unstable solutions to nonlinear elliptic systems." [College Station, Tex. : Texas A&M University, 2008. http://hdl.handle.net/1969.1/ETD-TAMU-2990.

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13

Chibi, Ahmed-Salah. "Defect correction and Galerkin's method for second-order elliptic boundary value problems." Thesis, Imperial College London, 1989. http://hdl.handle.net/10044/1/47378.

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14

Yang, Zhiyun. "A Cartesian grid method for elliptic boundary value problems in irregular regions /." Thesis, Connect to this title online; UW restricted, 1996. http://hdl.handle.net/1773/6759.

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15

Falk, Jenny. "On Pollard's rho method for solving the elliptic curve discrete logarithm problem." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-85516.

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Cryptosystems based on elliptic curves are in wide-spread use, they are considered secure because of the difficulty to solve the elliptic curve discrete logarithm problem. Pollard's rho method is regarded as the best method for attacking the logarithm problem to date, yet it is still not efficient enough to break an elliptic curve cryptosystem. This is because its time complexity is O(√n) and for uses in cryptography the value of n will be very large. The objective of this thesis is to see if there are ways to improve Pollard's rho method. To do this, we study some modifications of the origina

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16

Liu, Qing. "Elliptic Asymptotic Behaviours of Continuous and Discrete Painlevé Equations." Thesis, The University of Sydney, 2018. http://hdl.handle.net/2123/18883.

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This thesis investigates the asymptotic behaviours of both continuous and discrete Painlevé equations as their independent variables approach complex infinity. We focus on the third to the fifth Painlevé equations and three discrete Painlevé equations referred to as d-PI, q-PI and q-PIII in the literature. In each case, the generic asymptotic behaviours are found to be given by elliptic functions. We deduce the properties of the respective elliptic functions in terms of energy-like parameters which are Hamiltonians and invariants of the corresponding autonomous continuous and discrete Painlevé

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17

Wiegmann, Andreas. "The explicit jump immersed interface method and interface problems for differential equations /." Thesis, Connect to this title online; UW restricted, 1998. http://hdl.handle.net/1773/5774.

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18

Prinja, Gaurav Kant. "Adaptive solvers for elliptic and parabolic partial differential equations." Thesis, University of Manchester, 2010. https://www.research.manchester.ac.uk/portal/en/theses/adaptive-solvers-for-elliptic-and-parabolic-partial-differential-equations(f0894eb2-9e06-41ff-82fd-a7bde36c816c).html.

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In this thesis our primary interest is in developing adaptive solution methods for parabolic and elliptic partial differential equations. The convection-diffusion equation is used as a representative test problem. Investigations are made into adaptive temporal solvers implementing only a few changes to existing software. This includes a comparison of commercial code against some more academic releases. A novel way to select step sizes for an adaptive BDF2 code is introduced. A chapter is included introducing some functional analysis that is required to understand aspects of the finite element

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19

Poullikkas, Andreas. "The Method of Fundamental Solutions for the solution of elliptic boundary value problems." Thesis, Loughborough University, 1997. https://dspace.lboro.ac.uk/2134/27141.

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We investigate the use of the Method of Fundamental Solutions (MFS) for the numerical solution of elliptic problems arising in engineering. In particular, we examine harmonic and biharmonic problems with boundary singularities, certain steady-state free boundary flow problems and inhomogeneous problems. The MFS can be viewed as an indirect boundary method with an auxiliary boundary. The solution is approximated by a linear combination of fundamental solutions of the governing equation which are expressed in terms of sources located outside the domain of the problem. The unknown coefficients in

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20

Andrš, David. "Adaptive hp-FEM for elliptic problems in 3D on irregular meshes." To access this resource online via ProQuest Dissertations and Theses @ UTEP, 2008. http://0-proquest.umi.com.lib.utep.edu/login?COPT=REJTPTU0YmImSU5UPTAmVkVSPTI=&clientId=2515.

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21

Dolzmann, Georg. "Campanato-Ungleichungen für Differenzenverfahren und finite Elemente." Bonn : [Math.-Naturwiss. Fak. der Univ.], 1993. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=006605726&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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22

Hitchcock, Yvonne Roslyn. "Elliptic curve cryptography for lightweight applications." Thesis, Queensland University of Technology, 2003. https://eprints.qut.edu.au/15838/1/Yvonne_Hitchcock_Thesis.pdf.

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Elliptic curves were first proposed as a basis for public key cryptography in the mid 1980's. They provide public key cryptosystems based on the difficulty of the elliptic curve discrete logarithm problem (ECDLP) , which is so called because of its similarity to the discrete logarithm problem (DLP) over the integers modulo a large prime. One benefit of elliptic curve cryptosystems (ECCs) is that they can use a much shorter key length than other public key cryptosystems to provide an equivalent level of security. For example, 160 bit ECCs are believed to provide about the same level of security

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23

Hitchcock, Yvonne Roslyn. "Elliptic Curve Cryptography for Lightweight Applications." Queensland University of Technology, 2003. http://eprints.qut.edu.au/15838/.

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Elliptic curves were first proposed as a basis for public key cryptography in the mid 1980's. They provide public key cryptosystems based on the difficulty of the elliptic curve discrete logarithm problem (ECDLP) , which is so called because of its similarity to the discrete logarithm problem (DLP) over the integers modulo a large prime. One benefit of elliptic curve cryptosystems (ECCs) is that they can use a much shorter key length than other public key cryptosystems to provide an equivalent level of security. For example, 160 bit ECCs are believed to provide about the same level of security

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24

Alonso, Nicomedes III. "An alternating-direction Sinc-Galerkin method for elliptic problems on finite and infinite domains." Diss., Montana State University, 2009. http://etd.lib.montana.edu/etd/2009/alonso/AlonsoN0509.pdf.

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Alternating-Direction Implicit (ADI) schemes are a class of very efficient algorithms for the numerical solution of differential equations. Sinc-Galerkin schemes employ a sinc basis to produce exponentially accurate approximate solutions to differential equations even in the presence of singularities. In this dissertation we begin with a broad overview of sinc methods for problems posed on both finite and infinite, one- and two-dimensional domains. We then present a variety of finite difference methods that lead to the introduction of a new Alternating-Direction Sinc-Galerkin scheme based on t

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25

Lee, Sara [Verfasser], and Thomas [Akademischer Betreuer] Carraro. "Adaptive Multirate Method for Coupled Parabolic and Elliptic Equations / Sara Lee ; Betreuer: Thomas Carraro." Heidelberg : Universitätsbibliothek Heidelberg, 2016. http://d-nb.info/1180736559/34.

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26

Weissinger, Judith. "Development of a discrete adaptive gridless method for the solution of elliptic partial differential equations." Thesis, Cranfield University, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.273483.

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27

Rohe, Stacy. "Investigation of the accuracy of Grover's method when solving for the mutual inductance of two single-layer coaxial coils." Diss., Columbia, Mo. : University of Missouri-Columbia, 2005. http://hdl.handle.net/10355/4266.

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Thesis (M.S.)--University of Missouri-Columbia, 2005.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (December 19, 2006) Includes bibliographical references.

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28

Jin, Jicheng. "Finite element methods for some elliptic problems with singularity and problems on unbounded domains." HKBU Institutional Repository, 2004. http://repository.hkbu.edu.hk/etd_ra/597.

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29

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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30

Rockstroh, Parousia. "Boundary value problems for the Laplace equation on convex domains with analytic boundary." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/273939.

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In this thesis we study boundary value problems for the Laplace equation on do mains with smooth boundary. Central to our analysis is a relation, known as the global relation, that couples the boundary data for a given BVP. Previously, the global re lation has primarily been applied to elliptic PDEs defined on polygonal domains. In this thesis we extend the use of the global relation to domains with smooth boundary. This is done by introducing a new transform, denoted by F_p, that is an analogue of the Fourier transform on smooth convex curves. We show that the F_p-transform is a bounded and i

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31

Rizzi, Matteo. "Qualitative properties and construction of solutions to some semilinear elliptic PDEs." Doctoral thesis, SISSA, 2016. http://hdl.handle.net/20.500.11767/4914.

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This thesis is devoted to the study of elliptic equations. On the one hand, we study some qualitative properties, such as symmetry of solutions, on the other hand we explicitly construct some solutions vanishing near some fixed manifold. The main techniques are the moving planes method, in order to investigate the qualitative properties and the Lyapunov-Schmidt reduction.

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32

ROMANI, GIULIO. "Positivity and qualitative properties of solutions of fourth-order elliptic equations." Doctoral thesis, Università degli Studi di Milano, 2017. http://hdl.handle.net/2434/525734.

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This thesis concerns the study of fourth-order elliptic boundary value problems and, in particular, qualitative properties of solutions. Such problems arise in various fields, from plate theory to conformal geometry and, compared to their second-order counterparts, they present intrinsic difficulties, mainly due to the lack of the maximum principle. In the first part of the thesis, we study the positivity of solutions in case of Steklov boundary conditions, which are intermediate between Dirichlet and Navier boundary conditions. They naturally appear in the study of the minimizers of the Ki

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33

Cisternino, Marco. "A parallel second order Cartesian method for elliptic interface problems and its application to tumor growth model." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2012. http://tel.archives-ouvertes.fr/tel-00690743.

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Cette thèse porte sur une méthode cartésienne parallèle pour résoudre des problèmes elliptiques avec interfaces complexes et sur son application aux problèmes elliptiques en domaine irrégulier dans le cadre d'un modèle de croissance tumorale. La méthode est basée sur un schéma aux différences fi nies et sa précision est d'ordre deux sur tout le domaine. L'originalité de la méthode consiste en l'utilisation d'inconnues additionnelles situées sur l'interface et qui permettent d'exprimer les conditions de transmission à l'interface. La méthode est décrite et les détails sur la parallélisation, ré

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34

Apel, Th, and S. Nicaise. "The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801355.

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This paper is concerned with a specific finite element strategy for solving elliptic boundary value problems in domains with corners and edges. First, the anisotropic singular behaviour of the solution is described. Then the finite element method with anisotropic, graded meshes and piecewise linear shape functions is investigated for such problems; the schemes exhibit optimal convergence rates with decreasing mesh size. For the proof, new local interpolation error estimates for functions from anisotropically weighted spaces are derived. Finally, a numerical experiment is described, that shows

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35

Tonn, Timo [Verfasser]. "Reduced-Basis Method (RBM) for Non-Affine Elliptic Parametrized PDEs : (Motivated by Optimization in Hydromechanics) / Timo Tonn." Ulm : Universität Ulm. Fakultät für Mathematik und Wirtschaftswissenschaften, 2012. http://d-nb.info/1026992222/34.

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36

CISTERNINO, MARCO. "A parallel second order Cartesian method for elliptic interface problems and its application to tumor growth model." Doctoral thesis, Politecnico di Torino, 2012. http://hdl.handle.net/11583/2497156.

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This theses deals with a parallel Cartesian method to solve elliptic problems with complex interfaces and its application to elliptic irregular domain problems in the framework of a tumor growth model. This method is based on a finite differences scheme and is second order accurate in the whole domain. The originality of the method lies in the use of additional unknowns located on the interface, allowing to express the interface transmission conditions. The method is described and the details of its parallelization, performed with the PETSc library, are provided. Numerical validations of the m

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37

HIRATA, Tomio, and Daisuke ADACHI. "Refined Computations for Points of the Form 2kP Based on Montgomery Trick." Institute of Electronics, Information and Communication Engineers, 2006. http://hdl.handle.net/2237/15065.

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38

Kulkarni, Mandar S. "Multi-coefficient Dirichlet Neumann type elliptic inverse problems with application to reflection seismology." Birmingham, Ala. : University of Alabama at Birmingham, 2009. https://www.mhsl.uab.edu/dt/2010r/kulkarni.pdf.

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Thesis (Ph. D.)--University of Alabama at Birmingham, 2009.<br>Title from PDF t.p. (viewed July 21, 2010). Additional advisors: Thomas Jannett, Tsun-Zee Mai, S. S. Ravindran, Günter Stolz, Gilbert Weinstein. Includes bibliographical references (p. 59-64).

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39

Kay, David. "The p- and hp- finite element method applied to a class of non-linear elliptic partial differential equations." Thesis, University of Leicester, 1997. http://hdl.handle.net/2381/30510.

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The analysis of the p- and hp-versions of the finite element methods has been studied in much detail for the Hilbert spaces W1,2 (omega). The following work extends the previous approximation theory to that of general Sobolev spaces W1,q(Q), q 1, oo . This extension is essential when considering the use of the p and hp methods to the non-linear a-Laplacian problem. Firstly, approximation theoretic results are obtained for approximation using continuous piecewise polynomials of degree p on meshes of triangular and quadrilateral elements. Estimates for the rate of convergence in Sobolev spaces W

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40

Josyula, Sai Prashanth. "On the Applicability of a Cache Side-Channel Attack on ECDSA Signatures : The Flush+Reload attack on the point multiplication in ECDSA signature generation process." Thesis, Blekinge Tekniska Högskola, Institutionen för datalogi och datorsystemteknik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-10820.

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Context. Digital counterparts of handwritten signatures are known as Digital Signatures. The Elliptic Curve Digital Signature Algorithm (ECDSA) is an Elliptic Curve Cryptography (ECC) primitive, which is used for generating and verifying digital signatures. The attacks that target an implementation of a cryptosystem are known as side-channel attacks. The Flush+Reload attack is a cache side-channel attack that relies on cache hits/misses to recover secret information from the target program execution. In elliptic curve cryptosystems, side-channel attacks are particularly targeted towards the po

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41

Herbrych, Daniel. "Generování eliptických křivek pro kryptografický protokol." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2019. http://www.nusl.cz/ntk/nusl-401955.

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This thesis deals with creation of elliptic curves generator. MIRACL library and C++ language are used. One of important issues is to determine the order of the elliptic curve group. SEA algorithm (Schoof–Elkies–Atkin) is used for point counting on the elliptic curve. Method with this algorithm is called as counting points method, SEA method etc. Next method is CM method. Both methods are available in the generator. The measurements of dependency of basic operations speed on the group size and parameters were done. ECIES hybrid scheme was implemented. It is practical verification of proper fun

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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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Abu-Mahfouz, Adnan Mohammed. "Elliptic curve cryptosystem over optimal extension fields for computationally constrained devices." Diss., University of Pretoria, 2004. http://hdl.handle.net/2263/25330.

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Data security will play a central role in the design of future IT systems. The PC has been a major driver of the digital economy. Recently, there has been a shift towards IT applications realized as embedded systems, because they have proved to be good solutions for many applications, especially those which require data processing in real time. Examples include security for wireless phones, wireless computing, pay-TV, and copy protection schemes for audio/video consumer products and digital cinemas. Most of these embedded applications will be wireless, which makes the communication channel vul

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畔上, 秀幸, та Hideyuki Azegami. "領域最適化問題の一解法". 日本機械学会, 1994. http://hdl.handle.net/2237/7238.

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45

Martin, Martin Laura. "Numerical study of sound scattering by isolated elliptic vortices and turbulent jet shear layers." Electronic Thesis or Diss., Ecully, Ecole centrale de Lyon, 2024. http://www.theses.fr/2024ECDL0025.

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Cette étude est consacrée à la diffusion d'ondes acoustiques par des tourbillons isolés et couches de cisaillement de jet turbulentes. Lorsque les ondes acoustiques traversent un volume de turbulence, les fluctuations de la turbulence modifient la direction de propagation des ondes. En outre, si la turbulence évolue dans le temps, le contenu spectral du son change également, ce qui entraîne un élargissement spectral. Afin de mieux comprendre ces phénomènes, une série d'analyses numériques a été réalisée. Pour ce faire, un code fourni par Siemens a été utilisé, dans lequel les Equations d'Euler

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46

Balko, Marek. "Studium přenosu tepla turbulentním prouděním v studeném héliovém plynu v experimentu s Rayleigh-Bénardovou konvekcí na ÚPT AV v Brně." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-444294.

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The diploma thesis deals with the study of Rayleigh-Bénard convection for Rayleigh numbers in the range 1E8-1E14. The evaluated data come from an experiment with cryogenic helium in a cylindrical cell in a configuration with cell diameter D = 30 cm, height L = 30 cm and a second configuration with cell diameter D = 30 cm, height L = 15 cm. Miniature sensors recorded temperature fluctuations over time under various physical conditions and properties of helium. Using MATLAB software, the output parameters of the system (Nusselt and Reynolds numbers) and their dependence on the control parameters

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Odeyemi, Tinuade A. "Numerical Modelling of van der Waals Fluids." Thèse, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/22661.

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Many problems in fluid mechanics and material sciences deal with liquid-vapour flows. In these flows, the ideal gas assumption is not accurate and the van der Waals equation of state is usually used. This equation of state is non-convex and causes the solution domain to have two hyperbolic regions separated by an elliptic region. Therefore, the governing equations of these flows have a mixed elliptic-hyperbolic nature. Numerical oscillations usually appear with standard finite-difference space discretization schemes, and they persist when the order of accuracy of the semi-discrete scheme is i

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48

Marcati, Carlo. "Discontinuous hp finite element methods for elliptic eigenvalue problems with singular potentials : with applications to quantum chemistry." Thesis, Sorbonne université, 2018. http://www.theses.fr/2018SORUS349.

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Dans cette thèse, on étudie des problèmes aux valeurs propres elliptiques avec des potentiels singuliers, motivés par plusieurs modèles en physique et en chimie quantique, et on propose une méthode des éléments finis de type hp discontinus (dG) adaptée pour l’approximation des modes propres. Dans ces modèles, arrivent naturellement des potentiels singuliers (associés à l’interaction entre noyaux et électrons). Notre analyse commence par une étude de la régularité elliptique dans des espaces de Sobolev à poids. On montre comment un opérateur elliptique avec potentiel singulier est un isomorphis

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49

Li, Boning. "Extending the scaled boundary finite-element method to wave diffraction problems." University of Western Australia. School of Civil and Resource Engineering, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0173.

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[Truncated abstract] The study reported in this thesis extends the scaled boundary finite-element method to firstorder and second-order wave diffraction problems. The scaled boundary finite-element method is a newly developed semi-analytical technique to solve systems of partial differential equations. It works by employing a special local coordinate system, called scaled boundary coordinate system, to define the computational field, and then weakening the partial differential equation in the circumferential direction with the standard finite elements whilst keeping the equation strong in the

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50

Brandman, Jeremy. "A level-set method for solving elliptic eigenvalue problems on hypersurfaces ; and, Finite-time blow-up of L[superscript infty] weak solutions of an aggregation equation." Diss., Restricted to subscribing institutions, 2008. http://proquest.umi.com/pqdweb?did=1619423481&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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