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Dissertations / Theses on the topic 'Fourier’s method'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Heinrich, Bernd, and Beate Jung. "The Fourier-finite-element method with Nitsche-mortaring." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601493.

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The paper deals with a combination of the Fourier-finite-element method with the Nitsche-finite-element method (as a mortar method). The approach is applied to the Dirichlet problem of the Poisson equation in three-dimensional axisymmetric domains $\widehat\Omega$ with non-axisymmetric data. The approximating Fourier method yields a splitting of the 3D-problem into 2D-problems. For solving the 2D-problems on the meridian plane $\Omega_a$, the Nitsche-finite-element method with non-matching meshes is applied. Some important properties of the approximation scheme are derived and the

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2

Ciarlet, Jr Patrick, Beate Jung, Samir Kaddouri, Simon Labrunie, and Jun Zou. "The Fourier Singular Complement Method for the Poisson Problem. Part III: Implementation Issues." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601654.

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This paper is the last part of a three-fold article aimed at some efficient numerical methods for solving the Poisson problem in three-dimensional prismatic and axisymmetric domains. In the first and second parts, the Fourier singular complement method (FSCM) was introduced and analysed for prismatic and axisymmetric domains with reentrant edges, as well as for the axisymmetric domains with sharp conical vertices. In this paper we shall mainly conduct numerical experiments to check and compare the accuracies and efficiencies of FSCM and some other related numerical methods for solv

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3

Pippig, Michael. "Massively Parallel, Fast Fourier Transforms and Particle-Mesh Methods: Massiv parallele schnelle Fourier-Transformationen und Teilchen-Gitter-Methoden." Doctoral thesis, Universitätsverlag der Technischen Universität Chemnitz, 2015. https://monarch.qucosa.de/id/qucosa%3A20398.

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The present thesis provides a modularized view on the structure of fast numerical methods for computing Coulomb interactions between charged particles in three-dimensional space. Thereby, the common structure is given in terms of three self-contained algorithmic frameworks that are built on top of each other, namely fast Fourier transform (FFT), nonequispaced fast Fourier transform (NFFT) and NFFT based particle-mesh methods (P²NFFT). For each of these frameworks algorithmic enhancement and parallel implementations are presented with special emphasis on scalability up to hundreds of thousands

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4

Chau, Ki-wai, and 周麒偉. "Fourier-cosine method for insurance risk theory." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2014. http://hdl.handle.net/10722/208586.

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In this thesis, a systematic study is carried out for effectively approximating Gerber-Shiu functions under L´evy subordinator models. It is a hardly touched topic in the recent literature and our approach is via the popular Fourier-cosine method. In theory, classical Gerber-Shiu functions can be expressed in terms of an infinite sum of convolutions, but its inherent complexity makes efficient computation almost impossible. In contrast, Fourier transforms of convolutions could be evaluated in a far simpler manner. Therefore, an efficient numerical method based on Fourier transform is pursue

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5

Nkemzi, Boniface, and Bernd Heinrich. "Partial Fourier approximation of the Lamé equations in axisymmetric domains." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501145.

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In this paper, we study the partial Fourier method for treating the Lamé equations in three-dimensional axisymmetric domains subjected to nonaxisymmetric loads. We consider the mixed boundary value problem of the linear theory of elasticity with the displacement u, the body force f \in (L_2)^3 and homogeneous Dirichlet and Neumann boundary conditions. The partial Fourier decomposition reduces, without any error, the threedimensional boundary value problem to an infinite sequence of twodimensional boundary value problems, whose solutions u_n (n = 0,1,2,...) are the Fourier coeffic

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6

Berta, Abaynesh. "Option Pricing using the Fast Fourier Transform Method." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-51058.

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The fast Fourier transform (FFT), even though it has been widely applicable in Physics and Engineering, it has become attractive in Finance as well for it’s enhancement of computational speed. Carr and Madan succeeded in implementing the FFT for pricing of an option. This project, inspired by Carr and Madan’s paper, attempts to elaborate and connect the various mathematical and theoretical concepts that are helpful in understanding of the derivation. Further, we derive the characteristic function of the risk neutral probability for the logarithmic terminal stock price. The Black-Scholes-Merton

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7

ATTA-FOSU, THOMAS. "Fourier Based Method for Simultaneous Segmentation and Nonlinear Registration." Case Western Reserve University School of Graduate Studies / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=case1492439037011351.

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8

Heinrich, Bernd, and Beate Jung. "Nitsche- and Fourier-finite-element method for the Poisson equation in axisymmetric domains with re-entrant edges." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601691.

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The paper deals with a combination of the Fourier method with the Nitsche-finite-element method (as a mortar method). The approach is applied to the Dirichlet problem of the Poisson equation in threedimensional axisymmetric domains with reentrant edges generating singularities. The approximating Fourier method yields a splitting of the 3D problem into 2D problems on the meridian plane of the given domain. For solving the 2D problems bearing corner singularities, the Nitsche finite-element method with non-matching meshes and mesh grading near reentrant corners is applied. Using the

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9

Mashalaba, Qaphela. "Implementation of numerical Fourier method for second order Taylor schemes." Master's thesis, Faculty of Commerce, 2019. http://hdl.handle.net/11427/30978.

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The problem of pricing contingent claims in a complete market has received a significant amount of attention in literature since the seminal work of Black, Fischer and Scholes, Myron (1973). It was also in 1973 that the theory of backward stochastic differential equations (BSDEs) was developed by Bismut, Jean-Michel (1973), but it was much later in the literature that BSDEs developed links to contingent claim pricing. This dissertation is a thorough exposition of the survey paper Ruijter, Marjon J and Oosterlee, Cornelis W (2016) in which a highly accurate and efficient Fourier pricing techniq

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10

Hansson, Peter. "Surface Characterization using Radiometric and Fourier Optical Methods." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3569.

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11

Meier, Joseph E. "Novel data reduction methods in Fourier transform spectroscopy /." The Ohio State University, 1989. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487675687172857.

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12

Cameron, Seth Andrew 1967. "Novel Fourier methods for biomagnetic boundary value problems." Thesis, The University of Arizona, 1990. http://hdl.handle.net/10150/278738.

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A novel Fourier technique for solving a wide variety of boundary value problems is introduced. The technique, called Fourier projection, is based on the geometric properties of vector calculus operators in reciprocal space. Fourier projection decomposes arbitrary vector fields into collections of irrotational and/or divergenceless dipole subfields. For well-posed problems, Fourier projection algorithms can calculate unknown field values from a knowledge of primary sources and boundary conditions. Specifically, this technique is applied to several problems associated with biomagnetic imaging, i

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13

Al-Harbi, Hamad F. "Crystal plasticity finite element simulations using discrete Fourier transforms." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/51788.

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Crystallographic texture and its evolution are known to be major sources of anisotropy in polycrystalline metals. Highly simplified phenomenological models cannot usually provide reliable predictions of the materials anisotropy under complex deformation paths, and lack the fidelity needed to optimize the microstructure and mechanical properties during the production process. On the other hand, physics-based models such as crystal plasticity theories have demonstrated remarkable success in predicting the anisotropic mechanical response in polycrystalline metals and the evolution of underlying t

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14

Nie, Xichun 1970. "Design of reconfigurable manipulation assist aids by fourier methods." Thesis, McGill University, 2000. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=31064.

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Our interest is in designing reduced degree-of-freedom articulated mechanical assistive devices capable of tracing desired end-effector paths in the plane with the ability to be easily reconfigured for different sets of tasks.<br>We examine the use of a manipulator configuration called Single Degree-of-freedom Coupled Serial Chains (SDCSC). Such SDCSC configurations combine the motion flexibility due to multiple articulations with the simplicity of reduced-degree-of-freedom control and actuation due to the presence of hardware constraints and offer a low-cost alternative to expensive robotic m

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15

Capus, Chris G. "Time-frequency methods based on the fractional fourier transform." Thesis, Heriot-Watt University, 2002. http://hdl.handle.net/10399/1194.

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16

Smartt, Christopher James. "Fourier methods for the analysis of integrated optics devices." Thesis, University of Nottingham, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.294708.

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17

Pippig, Michael. "Massively Parallel, Fast Fourier Transforms and Particle-Mesh Methods." Doctoral thesis, Universitätsbibliothek Chemnitz, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-197359.

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The present thesis provides a modularized view on the structure of fast numerical methods for computing Coulomb interactions between charged particles in three-dimensional space. Thereby, the common structure is given in terms of three self-contained algorithmic frameworks that are built on top of each other, namely fast Fourier transform (FFT), nonequispaced fast Fourier transform (NFFT) and NFFT based particle-mesh methods (P²NFFT). For each of these frameworks algorithmic enhancement and parallel implementations are presented with special emphasis on scalability up to hundreds of thousands

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18

Ismail, Atikah. "Fourier spectral methods for numerical modeling of ionospheric processes." Thesis, This resource online, 1994. http://scholar.lib.vt.edu/theses/available/etd-03142009-040454/.

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19

Bolis, Alessandro. "Fourier spectral/hp element method : investigation of time-stepping and parallelisation strategies." Thesis, Imperial College London, 2013. http://hdl.handle.net/10044/1/25140.

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As computer hardware has evolved, the time required to perform numerical simulations has reduced, allowing investigations of a wide range of new problems. This thesis focuses on algorithm optimization, to minimize run-time, when solving the incompressible Navier-Stokes equations. Aspects affecting performance related to the discretisation and algorithm parallelization are investigated in the context of high-order methods. The roles played by numerical approximations and computational strategies are highlighted and it is recognized that a versatile implementation provides additional benefits, a

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20

Huang, Ning Ying. "Numerical methods for early-exercise option pricing via Fourier analysis." Thesis, University of Macau, 2010. http://umaclib3.umac.mo/record=b2148270.

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21

Anhaouy, Pichmony. "Fourier spectral methods for solving the Korteweg-de Vries equation." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/MQ51284.pdf.

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22

Rittich, Hannah [Verfasser]. "Extending and Automating Fourier Analysis for Multigrid Methods / Hannah Rittich." Wuppertal : Universitätsbibliothek Wuppertal, 2017. http://d-nb.info/1151257028/34.

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23

Al-Ajeli, Ahmed Khelfa Obeid. "Fourier-Motzkin methods for fault diagnosis in discrete event systems." Thesis, University of Birmingham, 2017. http://etheses.bham.ac.uk//id/eprint/7795/.

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The problem of fault diagnosis under partial observation is a complex problem; and the challenge to solve this problem is to find a compromise between the space complexity and time complexity. The classic method to solve the problem is by constructing an automaton called a diagnoser. This method suffers from the state explosion problem which limits its application to large systems. In this thesis, the problem of fault diagnosis in partially observed discrete event systems is addressed. We assume that the system is modelled by Petri nets having no cycle of unobservable transitions. The class of

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24

Qi, Yulin. "Advanced methods in Fourier transform ion cyclotron resonance mass spectrometry." Thesis, University of Warwick, 2013. http://wrap.warwick.ac.uk/57931/.

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Mass spectrometry (MS) is a powerful analytical technique used to characterize various compounds by measuring the mass-to-charge ratio (m/z). Among different types of mass analyzers, Fourier transform ion cyclotron resonance mass spectrometer (FT-ICR MS) is the instrument of choice for those working at the forefront of research, as it offers incomparable mass accuracy, resolving power, and the highest flexibility for hybrid instrumentation and fragmentation techniques. The FT-ICR MS requires professional and careful tuning to achieve its superior performance. Our work aims to review, develop a

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25

Fadina, Tolulope Rhoda. "Fourier methods for pricing early-exercise options under levy dynamics." Thesis, Stellenbosch : Stellenbosch University, 2012. http://hdl.handle.net/10019.1/71860.

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Thesis(MSc)--Stellenbosch University, 2012.<br>ENGLISH ABSTRACT: The pricing of plain vanilla options, including early exercise options, such as Bermudan and American options, forms the basis for the calibration of financial models. As such, it is important to be able to price these options quickly and accurately. Empirical studies suggest that asset dynamics have jump components which can be modelled by exponential Lévy processes. As such models often have characteristic functions available in closed form, it is possible to use Fourier transform methods, and particularly, the Fast Fouri

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26

Roberts, Jessica Ellen. "Fourier pricing of two-asset options: a comparison of methods." Master's thesis, University of Cape Town, 2018. http://hdl.handle.net/11427/28126.

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Fourier methods form an integral part in the universe of option pricing due to their speed, accuracy and diversity of use. Two types of methods that are extensively used are fast Fourier transform (FFT) methods and the Fourier-cosine series expansion (COS) method. Since its introduction the COS method has been seen to be more efficient in terms of rate of convergence than its FFT counterparts when pricing vanilla options; however limited comparison has been performed for more exotic options and under varying model assumptions. This paper will expand on this research by considering the efficien

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27

Billiard, Thomas. "Using Fourier Transform Analysis to Extract Information From the Shapes of Folded Layers." Oberlin College Honors Theses / OhioLINK, 1993. http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1411571230.

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28

Meszmer, Peter. "Verbesserte numerische Simulation von Indenter-Versuchen durch die Fourier-Finite-Elemente-Methode." Master's thesis, [S.l. : s.n.], 2008. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800109.

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29

Henigin, Matthew K. "An Investigation of numerical techniques for the fourier matching method acoustic scattering model." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2005. http://library.nps.navy.mil/uhtbin/hyperion/05Sep%5FHenigin.pdf.

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Thesis (M.S. in Meterology and Physical Oceanography)--Naval Postgraduate School, September 2005.<br>Thesis Advisor(s): D. Benjamin Reeder, John A. Colosi. Includes bibliographical references (p. 73-75). Also available online.

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30

KOSA, NADHIR BAHJAT. "NEW INTERFEROMETRIC METHOD FOR MEASURING CHROMATIC DISPERSION IN SINGLE MODE FIBERS (FOURIER TRANSFORM)." Diss., The University of Arizona, 1987. http://hdl.handle.net/10150/184171.

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A new interferometric method which indirectly measures the total chromatic dispersion of a single mode fiber is demonstrated. The technique utilizes a short length of fiber, an unmodulated broadband source, simple low frequency electronics, and a standard interferometer. The concept of this measurement is based on the behavior of the uncorrelated individual bursts of light from the elemental emitters that constitute a thermal source. Their propagation through a dispersive media, e.g., silica fiber, which is placed in one arm of the interferometer, is delayed and broadened. They will interfere

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31

Berrut, Jean-Paul. "Integralgleichungen und Fourier-Methoden zur numerischen konformen Abbildung /." [S.l.] : [s.n.], 1985. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=7754.

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32

Weiss, Thomas. "Advanced numerical and semi-analytical scattering matrix calculations for modern nano-optics." Thesis, Clermont-Ferrand 2, 2011. http://www.theses.fr/2011CLF22150.

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Les propriétés optiques des nanomatériaux, tels que les cristaux photoniques ou les métamatériaux, ont reçu beaucoup d’attention dans les dernières années [1–9]. La dérivation numérique de ces propriétés se révèle pourtant très compliquée, en particulier dans le cas des structures métallo-diélectriques, qui comportent des résonances plasmoniques. C’est pourquoi des méthodes numériques avancées et des modèles semi-analytiques sont nécessaires. Dans cette thèse, nous montrerons que le formalisme de la matrice de diffraction peut satisfaire ces deux aspects. La méthode de la matrice de diffractio

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33

Genheden, Samuel. "A fast protein-ligand docking method." Thesis, University of Skövde, School of Humanities and Informatics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:his:diva-69.

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<p>In this dissertation a novel approach to protein-ligand docking is presented. First an existing method to predict putative active sites is employed. These predictions are then used to cut down the search space of an algorithm that uses the fast Fourier transform to calculate the geometrical and electrostatic complementarity between a protein and a small organic ligand. A simplified hydrophobicity score is also calculated for each active site. The docking method could be applied either to dock ligands in a known active site or to rank several putative active sites according to their biologic

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34

Noureddine, Mohamed. "Fourier variational methods for the analysis of optical waveguides and lasers." Thesis, University of Nottingham, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.263466.

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35

Roach, Paul Alun. "Fourier methods for curve and surface smoothing in computer aided design." Thesis, Cardiff University, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.284276.

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36

Green, Roger James. "The use of Fourier transform methods in automatic fringe pattern analysis." Thesis, King's College London (University of London), 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.307203.

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37

Wright, Brian M. "Examining the Absolute Rate of Convergence of Summability Assisted Fourier Series." Kent State University / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=kent1178311591.

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38

Aydin, Ozge Zelal. "Detection Of Bladder Tumor Recurrence By Fourier Transform Infrared Spectroscopy As A Novel Method." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/2/12610883/index.pdf.

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Bladder cancer is one of the most common urogenital cancers worldwide. Two techniques commonly used for bladder cancer diagnosis are urine cytology and cystoscopy. Cytology is not sensitive for detecting tumors. Cystoscopy is an invasive technique which disturbs patient comfort. In the current study, we used Fourier transform infrared (FT-IR) spectroscopy as a novel method which is rapid and non-invasive to investigate the bladder tumor recurrence using the bladder wash samples collected in the course of control cystoscopy. This study is unique since it is the first one to use the bladder wash

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39

Kaissar, Abboud Mira. "Modélisation électromagnétique des propriétés radiatives des micro-organismes de forme sphéroïdale." Thesis, Clermont-Ferrand 2, 2016. http://www.theses.fr/2016CLF22720/document.

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La production de carburants est possible à partir d’eau, d’énergie solaire et de CO2 par la voie de la photosynthèse artificielle. L’optimisation de ce processus est un thème de recherche de l’Institut Pascal. À la petite échelle contrôlant ce procédé, il est indispensable de déterminer les propriétés radiatives des microalgues photosynthétiques pour résoudre l’équation de transfert radiatif au sein des photobioréacteurs. La grande variété des micro-organismes liée à la forme, à l’élongation et aux paramètres de taille fait que la mise en œuvre des méthodes numériques existantes échoue pour de

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Müllner, Clemens. "Exponential sum estimates and Fourier analytic methods for digitally based dynamical systems." Thesis, Aix-Marseille, 2017. http://www.theses.fr/2017AIXM0042/document.

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La présente thèse a été fortement influencée par deux conjectures, l'une de Gelfond et l'autre de Sarnak.En 1968, Gelfond a prouvé que la somme des chiffres modulo m est asymtotiquement équirépartie dans des progressions arithmétiques, et il a formulé trois problèmes nouveaux.Le deuxième et le troisième problèmes traitent des sommes des chiffres pour les nombres premiers et les suites polynomiales.En ce qui concerne les nombres premiers et les carrés, Mauduit et Rivat ont résolu ces problèmes en 2010 et 2009, respectivement.Drmota, Mauduit et Rivat ont réussi généraliser le résultat concernant

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41

Stearns, Charles William. "Accelerated image reconstruction for a cylindrical positron tomograph using Fourier domain methods." Thesis, Massachusetts Institute of Technology, 1990. http://hdl.handle.net/1721.1/29201.

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Thesis (Ph. D.)--Harvard University--Massachusetts Institute of Technology Division of Health Sciences and Technology, Program in Medical Engineering and Medical Physics, 1990.<br>Includes bibliographical references (leaves 142-150).<br>by Charles William Stearns.<br>Ph.D.

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42

Kim, Hyun Sik. "High performance fourier transform mass spectrometry : soft ionization methods and resolution enhancement /." The Ohio State University, 1994. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487859879937953.

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Grünrock, Axel. "New applications of the Fourier restriction norm method to wellposedness problems for nonlinear evolution equations." [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=967445396.

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44

Hagman, Charlotte. "Method Development in Quantitative and Structural Proteomics using Fourier Transform Ion Cyclotron Resonance Mass Spectrometry." Doctoral thesis, Uppsala University, Department of Engineering Sciences, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-4761.

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<p>In this thesis, methods for studying different aspects of proteomics were developed with Fourier Transform Ion Cyclotron Resonance, (FTICR), mass spectrometry. The FTICR technique provides ultra-high mass resolving power, mass accuracy at sub ppm level and sensitivity in the attomole region.</p><p>Methods for quantifying biomarkers in body fluids such as cerebrospinal fluid, (CSF), and plasma were developed. Two sets of global markers with different properties were used for quantitative analysis; S-Methyl Thioacetimidate, (SMTA), and S-Methyl Thiopropionimidate, (SMTP), and [H<sub>4</sub>]-

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45

陶冬玲 and Dong-ling Tao. "Modal parameter identification for non-linear systems using the time-domain fourier filter output method." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1997. http://hub.hku.hk/bib/B31236169.

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46

Akkineni, Dharma Teja. "A Fourier Spectral Method to Solve Linear and Non-Linear Differential Equations and its Applications." University of Akron / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=akron1418994964.

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47

Tao, Dong-ling. "Modal parameter identification for non-linear systems using the time-domain fourier filter output method /." Hong Kong : University of Hong Kong, 1997. http://sunzi.lib.hku.hk/hkuto/record.jsp?B19013310.

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48

Phelan, Carolyn E. "Fourier transform methods for the pricing of barrier options and other exotic derivatives." Thesis, University College London (University of London), 2018. http://discovery.ucl.ac.uk/10056432/.

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This thesis focuses on the numerical calculation of fluctuation identities with both dis- crete and continuous monitoring and the wider application of finding a general numerical solution to the Wiener-Hopf equation on a semi-infinite or finite interval. The motivating application is pricing path-dependent options. It is demonstrated that, with the use of spectral filters, exponential convergence can be achieved for the pricing of discretely monitored double-barrier options. We thus describe the first exponentially convergent pricing method for this type of option with general L ́evy processes

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49

Kirschner, Cynthia Hume. "Supercritical fluid extraction/chromatography and Fourier transform infrared spectrometry : methods optimization and applications /." Diss., This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-05042006-164521/.

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CARVALHO, JANAINA VEIGA. "THREE-DIMENSIONAL ANALYSIS OF SOIL-STRUCTURE PROBLEMS USING THE FINITE ELEMENT METHOD IN THE FOURIER DOMAIN." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2000. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=1793@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>Este trabalho estuda problemas geotécnicos e de interação solo-estrutura utilizando o método dos elementos finitos acoplado com a transformada de Fourier. Pela aplicação da transformada de Fourier, as equações diferenciais que governam o problema elástico linear, com as correspondentes condições de contorno, são reescritas no plano de Fourier, permitindo que um problema de natureza tridimensional possa ser numericamente analisado por uma discretização bidimensional. Esta técnica foi empregada neste trabalho para certos pr

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