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1

Frizzale, Tommaso. "Palladio digitale. Studio e ricostruzione di un progetto palladiano : villa Mocenigo." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2011. http://amslaurea.unibo.it/2132/.

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L’obiettivo che l’elaborato si prefigge consiste nel dar forma ad un progetto palladiano rimasto sulla carta attraverso l’utilizzo delle tecnologie informatiche. Nello specifico si è ricostruita Villa Mocenigo in forma tridimensionale attraverso uno schizzo del progetto fatto su carta dallo stesso Palladio nel 1550. Lo schizzo della pianta, conservato al RIBA di Londra, anticiperebbe il successivo progetto finale pubblicato ne “I Quattro Libri dell’Architettura” ma rimasto comunque incompiuta. Il linguaggio di base utilizzato per la definizione dell’ipotesi progettuale del modello 3D è stato
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2

Bahouli, Bassem. "Caracterisations de champs de matrices, potentiels matrices et applications aux operateurs traces." Thesis, Pau, 2021. http://www.theses.fr/2021PAUU3053.

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Plusieurs auteurs ont utilisé les champs de contraintes pour résoudre l'équation d’équilibre de la mécanique des milieux continus. Airy (1863) a résolu le cas bidimensionnel, Maxwell (1870) et Morera (1892) ont étudié le cas tridimensionnel. Les solutions obtenues sont des cas particuliers de celles de Beltrami (1892). Gurtin a donné un exemple de solutions ne satisfaisant pas la représentation S = CurlCurlA de Beltrami, ce qui signifie que la représentation précédente est incomplète. De plus, il a montré que si l’ouvert est régulier, alors elle est complète dans l’espace des champs réguliers
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3

Margetis, Alexander. "Beltrami Flows." Kent State University Honors College / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ksuhonors1525299172164402.

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4

Ly, Ibrahim, and Nikolai Tarkhanov. "Generalised Beltrami equations." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6741/.

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We enlarge the class of Beltrami equations by developping a stability theory for the sheaf of solutions of an overdetermined elliptic system of first order homogeneous partial differential equations with constant coefficients in the Euclidean space.
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5

Santos, Fabiana Alves dos. "Espectro de variedades completas e não-compactas." reponame:Repositório Institucional da UFC, 2017. http://www.repositorio.ufc.br/handle/riufc/25815.

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SANTOS, Fabiana Alves dos. Espectro de variedades completas e não-compactas. 2017. 39 f. Tese (Doutorado em Matemática) – Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2017.<br>Submitted by Andrea Dantas (pgmat@mat.ufc.br) on 2017-09-13T14:03:43Z No. of bitstreams: 1 2017_tese_fasantos.pdf: 609112 bytes, checksum: 0bbcd05e8e335e0ecb00510e212c4e79 (MD5)<br>Rejected by Rocilda Sales (rocilda@ufc.br), reason: Boa tarde, Estou devolvendo a Tese de FABIANA ALVES DOS SANTOS para que ela corrija alguns itens do trabalho: 1- FICHA CATALOGRÁFICA (refaça a ficha catalográfica coloc
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6

Faraco, Daniel. "Beltrami operators and microstructure." Helsinki : University of Helsinki, 2002. http://ethesis.helsinki.fi/julkaisut/mat/matem/vk/faraco/.

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7

Bertelli, S. "LA FOTOGRAFIA NEGLI SCRITTI DI LUCA BELTRAMI." Doctoral thesis, Università degli Studi di Milano, 2012. http://hdl.handle.net/2434/172664.

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My work is about the architect Luca Beltrami, one of the most prominent architects in Italy between 19th and 20th century. Notably Beltrami took care of restoration of some of the major buildings in Italy, such as the Sforza Castle in Milan. In line with this project I have been working on the electronic catalog of the photographic archive of Beltrami.
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8

Cruz, Barriguete Víctor Alberto. "Soluciones de la ecuación de Beltrami con coeficiente regular." Doctoral thesis, Universitat Autònoma de Barcelona, 2011. http://hdl.handle.net/10803/83963.

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9

Baisón, Olmo Antonio Luis. "La ecuación de beltrami generalizada y otras ecuaciones elípticas." Doctoral thesis, Universitat Autònoma de Barcelona, 2016. http://hdl.handle.net/10803/392697.

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10

Samvin, David. "Adaptive finite element methods for the Laplace-Beltrami problem." Thesis, Högskolan i Halmstad, Sektionen för Informationsvetenskap, Data– och Elektroteknik (IDE), 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-19202.

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This thesis concerns the Laplace-Beltrami problem with FEM on two types of surfaces. The first part of the thesis is dedicated to explain the background and the general theory. In the second part I will show how to implement the theory with Matlab, and in the third part we consider a closed surface with no boundary conditions and a continuous surface with boundary conditions. The closed surface will be approximated with triangle elements and the continuous surface with quadratic elements.
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11

Green, Edward L. "Spectral theory of laplace-beltrami operators with periodic metrics." Diss., Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/29187.

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12

Caissard, Thomas. "Opérateur de Laplace–Beltrami discret sur les surfaces digitales." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSE1326/document.

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La problématique centrale de cette thèse est l'élaboration d'un opérateur de Laplace--Beltrami discret sur les surfaces digitales. Ces surfaces proviennent de la théorie de la géométrie discrète, c’est-à-dire la géométrie qui s'intéresse à des sous-ensembles des entiers relatifs. Nous nous plaçons ici dans un cadre théorique où les surfaces digitales sont le résultat d'une approximation, ou processus de discrétisation, d'une surface continue sous-jacente. Cette méthode permet à la fois de prouver des théorèmes de convergence des quantités discrètes vers les quantités continues, mais aussi, par
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13

Masur, Gökce Tuba. "An Adaptive Surface Finite Element Method for the Laplace-Beltrami Equation." Thesis, KTH, Numerisk analys, NA, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-202764.

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In this thesis, we present an adaptive surface finite element method for the Laplace-Beltrami equation. The equation is known as the manifold equivalent of the Laplace equation. A surface finite element method is formulated for this partial differential equation which is implemented in FEniCS, an open source software project for automated solutions of differential equations. We formulate a goal-oriented adaptive mesh refinement method based on a posteriori error estimates which are established with the dual-weighted residual method. Some computational examples are provided and implementation i
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14

BURINI, EMANUELA (ORCID:0000-0001-9287-8467). "La modernità dello sguardo di Giacomo Costantino Beltrami nelle lettere odeporiche." Doctoral thesis, Università degli studi di Bergamo, 2016. http://hdl.handle.net/10446/62510.

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15

fr, vodev@math univ-nantes. "Uniform Estimates of the Resolvent of the Laplace--Beltrami Operator on Infinite Volume Riemannian Manifolds with Cusps.II." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1044.ps.

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16

Beltrami, Katia. "Inventário de estilo de aprendizagem para crianças Portilho/Beltrami : o estilo de aprendizagem das crianças e da professora de educação infantil / Katia Beltrami ; orientação Evelise Maria Labatut Portilho." reponame:Biblioteca Digital de Teses e Dissertações da PUC_PR, 2008. http://www.biblioteca.pucpr.br/tede/tde_busca/arquivo.php?codArquivo=1161.

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Dissertação (mestrado) - Pontifícia Universidade Católica do Paraná, Curitiba, 2008<br>Bibliografia: f. 135-137<br>A identificação do estilo de aprendizagem predominante dos alunos da Educação Infantil foi o foco dessa dissertação. O referencial teórico está baseado em autores que explicam a aprendizagem sob o enfoque cognitivista, como Pozo (2002,2005), Claxton (2005<br>The identification of the predominant style of learning of students of Infantile Education was the focus of this dissertation. The theoretical reference is based on authors that explain learning under a cognitive focus, as Poz
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17

Sicbaldi, Pieralberto. "Domaines extrémaux pour la première valeur propre de l'opérateur de Laplace-Beltrami." Phd thesis, Université Paris-Est, 2009. http://tel.archives-ouvertes.fr/tel-00480301.

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Dans tout ce qui suit, nous considérons une variété riemannienne compacte de dimension au moins égale à 2. A tout domaine (suffisamment régulier) $\Omega$, on peut associer la première valeur propre $\lambda_\Omega$ de l'opérateur de Laplace-Beltrami avec condition de Dirichlet au bord. Nous dirons qu'un domaine $\Omega$ est extrémal (sous entendu, pour la première valeur propre de l'opérateur de Laplace-Beltrami) si $\Omega$ est un point critique de la fonctionnelle $\Omega \rightarrow \lambda_\Omega$ sous une contrainte de volume $Vol (\Omega) = c_0$. Autrement dit, $\Omega$ est extrémal si,
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18

Vieira, Francisca Damiana. "NÃo existÃncia de autovalores do operador de Laplace-Beltrami em grÃficos radiais." Universidade Federal do CearÃ, 2014. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14017.

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Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico<br>Neste trabalho estudamos o operador de Laplace-Beltrami definido em variedades Riemannianas. AlÃm do espectro de tal operador, apresentamos tambÃm algumas de suas propriedades, como o fato deste operador ser auto adjunto e nÃo negativo. Nosso objetivo principal consiste em analisar a existÃncia de autovalores para o operador de Laplace-Beltrami, sob determinadas condiÃÃes, em superfÃcies que sÃo grÃficos de funÃÃes radiais, definida sobre todo o plano, ou seja, superfÃcies nÃo compactas de revoluÃao. Esta dissertaÃÃo se baseia no
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19

Sicbaldi, Pieralberto. "Domaines extrémaux pour la première valeur propre de l’opérateur de Laplace-Beltrami." Thesis, Paris Est, 2009. http://www.theses.fr/2009PEST0014.

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Dans tout ce qui suit, nous considérons une variété riemannienne compacte de dimension au moins égale à 2. A tout domaine (suffisamment régulier) , on peut associer la première valeur propre ?Ù de l’opérateur de Laplace-Beltrami avec condition de Dirichlet au bord. Nous dirons qu’un domaine est extrémal (sous entendu, pour la première valeur propre de l’opérateur de Laplace-Beltrami) si est un point critique de la fonctionnelle Ù? ?O sous une contrainte de volume V ol(Ù) = c0. Autrement dit, est extrémal si, pour toute famille régulière {Ot}te (-t0,t0) de domaines de volume constant, telle que
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20

Vieira, Francisca Damiana. "Não existência de autovalores do operador de Laplace-Beltrami em gráficos radiais." reponame:Repositório Institucional da UFC, 2015. http://www.repositorio.ufc.br/handle/riufc/11873.

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VIEIRA, Francisca Damiana. Não existência de autovalores do operador de Laplace-Beltrami em gráficos radiais. 2015. 34 f. Dissertação (Mestrado em Matemática)- Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2015.<br>Submitted by Erivan Almeida (eneiro@bol.com.br) on 2015-05-06T19:16:37Z No. of bitstreams: 1 2015_dis_fdvieira.pdf: 412242 bytes, checksum: 37ead18cc3c9bbc2305cfb28680fb60a (MD5)<br>Approved for entry into archive by Rocilda Sales(rocilda@ufc.br) on 2015-05-07T11:32:25Z (GMT) No. of bitstreams: 1 2015_dis_fdvieira.pdf: 412242 bytes, checksum: 37ead18cc3c9bbc2305cfb28
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21

Castro, Mario Henrique de. "Decaimento dos autovalores de operadores integrais positivos gerados por núcleos Laplace-Beltrami diferenciáveis." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-14092011-094712/.

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Neste trabalho obtemos taxas de decaimento para autovalores e valores singulares de operadores integrais gerados por núcleos de quadrado integrável sobre a esfera unitária em \'R POT. m+1\', m 2, sob hipóteses sobre ambos, certas derivadas do núcleo e o operador integral gerado por tais derivadas. Este tipo de problema é comum na literatura, mas as hipóteses geralmente são definidas via diferenciação usual em \'R POT m+1\'. Aqui, as hipóteses são todas definidas via derivada de Laplace-Beltrami, um conceito genuinamente esférico investigado primeiramente por W. Rudin no começo dos anos 50. As
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22

Ohtake, Hiromi. "ON THE DEFORMATION OF FUCHSIAN GROUPS BY QUASICONFORMAL MAPPINGS WITH PARTIALLY VANISHING BELTRAMI COEFFICIENTS." 京都大学 (Kyoto University), 1988. http://hdl.handle.net/2433/86389.

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23

Pester, Cornelia. "A residual a posteriori error estimator for the eigenvalue problem for the Laplace-Beltrami operator." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601556.

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The Laplace-Beltrami operator corresponds to the Laplace operator on curved surfaces. In this paper, we consider an eigenvalue problem for the Laplace-Beltrami operator on subdomains of the unit sphere in $\R^3$. We develop a residual a posteriori error estimator for the eigenpairs and derive a reliable estimate for the eigenvalues. A global parametrization of the spherical domains and a carefully chosen finite element discretization allows us to use an approach similar to the one for the two-dimensional case. In order to assure results in the quality of those for plane domains, weighted norms
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24

Feres, Renato 1962. "O teorema de Hodge e o espectro do operador de Laplace-Beltrami em variedades Riemannianas." [s.n.], 1985. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307096.

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Orientador: Francesco Mercuri<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Científica<br>Made available in DSpace on 2018-07-14T18:02:17Z (GMT). No. of bitstreams: 1 Feres_Renato_M.pdf: 1935390 bytes, checksum: a353c078f71a84b3506294b2317fe225 (MD5) Previous issue date: 1985<br>Resumo: Não informado.<br>Abstract: Not informed.<br>Mestrado<br>Mestre em Matemática
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25

Oliveira, Josà AnastÃcio de. "Decaimento do primeiro autovalor do operador de Laplace-Beltrami em superfÃcies de nÃvel analÃticas na esfera." Universidade Federal do CearÃ, 2016. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=17215.

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CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior<br>FundaÃÃo Cearense de Apoio ao Desenvolvimento Cientifico e TecnolÃgico<br>Neste texto, serà apresentado um resultado proposto por Paulo Cordaro e Jorge Hounie sobre o decaimente do primeiro autovalor do operador de Laplace-Beltrami em uma superfÃcie de nÃvel conexa em Sn+1, n &#8805;1. Esta dissertaÃÃo baseia-se no artigo "The First Eingenvalue of Analytic Level Surfaces on Spheres"de Sagun Chanillo (Mathematical Reseach Letters, vol 1 (1994), p. 159-166).<br>In the text, will presented one resultad proposed by Paulo Cordaro and Jor
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26

Oliveira, José Anastácio de. "Decaimento do primeiro autovalor do operador de Laplace-Beltrami em superfícies de nível analíticas na esfera." reponame:Repositório Institucional da UFC, 2016. http://www.repositorio.ufc.br/handle/riufc/17852.

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OLIVEIRA, José Anastácio de. Decaimento do primeiro autovalor do operador de Laplace-Beltrami em superfícies de nível analíticas na esfera. 2016. 51 f. Dissertação (Mestrado em Matemática)- Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2016.<br>Submitted by Rocilda Sales (rocilda@ufc.br) on 2016-06-22T13:32:30Z No. of bitstreams: 1 2016_dis_jaoliveira.pdf: 849786 bytes, checksum: 82f035323806adc5483c8bdff1b1231f (MD5)<br>Approved for entry into archive by Rocilda Sales (rocilda@ufc.br) on 2016-06-22T13:35:16Z (GMT) No. of bitstreams: 1 2016_dis_jaoliveira.pdf: 849786 bytes, che
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Fischer, Emily M. "Infinitely Many Rotationally Symmetric Solutions to a Class of Semilinear Laplace-Beltrami Equations on the Unit Sphere." Scholarship @ Claremont, 2014. http://scholarship.claremont.edu/hmc_theses/62.

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I show that a class of semilinear Laplace-Beltrami equations has infinitely many solutions on the unit sphere which are symmetric with respect to rotations around some axis. This equation corresponds to a singular ordinary differential equation, which we solve using energy analysis. We obtain a Pohozaev-type identity to prove that the energy is continuously increasing with the initial condition and then use phase plane analysis to prove the existence of infinitely many solutions.
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28

Klug, Matthias [Verfasser]. "Integral Formulas and Discrepancy Estimates Using the Fundamental Solution to the Beltrami Operator on Regular Surfaces / Matthias Klug." München : Verlag Dr. Hut, 2014. http://d-nb.info/1064560482/34.

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29

Hildebrandt, Klaus [Verfasser]. "Discretization and approximation of the shape operator, the Laplace-Beltrami operator, and the Willmore energy of surfaces / Klaus Hildebrandt." Berlin : Freie Universität Berlin, 2013. http://d-nb.info/1031106448/34.

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30

Boulmezaoud, Tahar Zamène. "Etude des champs de Beltrami dans des domaines de R 3 bornés et non-bornés et applications en astrophysique." Paris 6, 1999. http://www.theses.fr/1999PA066659.

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Les travaux présentés dans cette thèse portent sur deux thèmes s'inscrivant dans le domaine des équations aux dérivées partielles. Le premier thème concerne les champs de Beltrami (ou champs sans-force) linéaires et non-linéaires. On s'intéresse essentiellement aux problèmes d'existence, d'unicité et de régularité de ces champs dans des domaines tri-dimensionnels bornés et non-bornés. De nouvelles méthodes pour les approcher numériquement sont aussi présentées et analysées dans le but de les utiliser pour reconstruire le champ magnétique de la couronne solaire. Le deuxième thème concerne quelq
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31

Thangudu, Kedarnath. "Practicality of Discrete Laplace Operators." The Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1236615194.

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32

Castro, Mario Henrique de. "Diferentes noções de diferenciabilidade para funções definidas na esfera." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-26042007-120351/.

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Neste trabalho estudamos diferentes noções de diferenciabilidade para funções definidas na esfera unitária S^n-1 de R^n, n>=2. Em relação à derivada usual, encontramos condições necessárias e/ou suficientes para que uma função seja diferenciável até uma ordem fixada. Para as outras duas, a derivada forte de Laplace-Beltrami e a derivada fraca, apresentamos algumas propriedades básicas e procuramos condições que garantam a equivalência destas com a diferenciabilidade usual.<br>In this work we study different notions of differentiability for functions defined on the unit sphere S^n-1 of R^n, n>=
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Fedchenko, Dmitry, and Nikolai Tarkhanov. "A Class of Toeplitz Operators in Several Variables." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6893/.

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We introduce the concept of Toeplitz operator associated with the Laplace-Beltrami operator on a compact Riemannian manifold with boundary. We characterise those Toeplitz operators which are Fredholm, thus initiating the index theory.
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Gier, Megan E. "EIGENVALUE MULTIPLICITES OF THE HODGE LAPLACIAN ON COEXACT 2-FORMS FOR GENERIC METRICS ON 5-MANIFOLDS." UKnowledge, 2014. http://uknowledge.uky.edu/math_etds/14.

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In 1976, Uhlenbeck used transversality theory to show that for certain families of elliptic operators, the property of having only simple eigenvalues is generic. As one application, she proved that on a closed Riemannian manifold, the eigenvalues of the Laplace-Beltrami operator Δg are all simple for a residual set of Cr metrics. In 2012, Enciso and Peralta-Salas established an analogue of Uhlenbeck's theorem for differential forms, showing that on a closed 3-manifold, there exists a residual set of Cr metrics such that the nonzero eigenvalues of the Hodge Laplacian Δg(k) on k-forms are all si
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Beltrami, Alessandra [Verfasser]. "Structural and functional analysis of cGMP dependent protein kinase I (cGKI) and LIM kinase 1 (LIMK1) engaged in BMP signaling crosstalk / Alessandra Beltrami." Berlin : Freie Universität Berlin, 2012. http://d-nb.info/102781607X/34.

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36

Bolelli, Maria Virginia. "Diffusion Maps for Dimensionality Reduction." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18246/.

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In this thesis we present the diffusion maps, a framework based on diffusion processes for finding meaningful geometric descriptions of data sets. A diffusion process can be described via an iterative application of the heat kernel which has two main characteristics: it satisfies a Markov semigroup property and its level sets encode all geometric features of the space. This process, well known in regular manifolds, has been extended to general data set by Coifman and Lafon. They define a diffusion kernel starting from the geometric properties of the data and their density properties. This kern
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37

López, Pérez Lucero Diana. "Régularisation d'images sur des surfaces non planes." Nice, 2006. http://www.theses.fr/2006NICE4067.

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Nous nous intéressons aux approches par EDP pour la régularisation d'images scalaires et multivaluées définies sur des supports non plans et à leurs applications à des problèmes de traitement des images. Nous étudions la relation entre les méthodes existantes et les comparons en termes de performance et facilité d'implémentation. Nous développons de nouvelles méthodes numériques pour traiter des opérateurs de type divergence utilisés dans les méthodes de régularisation par EDPs sur des surfaces triangulées. Nous généralisons la technique de régularisation du Flot de Beltrami pour le cas des im
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Meyer, Arnd, and Cornelia Pester. "The Laplace and the linear elasticity problems near polyhedral corners and associated eigenvalue problems." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601506.

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The solutions to certain elliptic boundary value problems have singularities with a typical structure near polyhedral corners. This structure can be exploited to devise an eigenvalue problem whose solution can be used to quantify the singularities of the given boundary value problem. It is necessary to parametrize a ball centered at the corner. There are different possibilities for a suitable parametrization; from the numerical point of view, spherical coordinates are not necessarily the best choice. This is why we do not specify a parametrization in this paper but present all results in a rat
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Boldt, Sebastian. "The height of compact nonsingular Heisenberg-like Nilmanifolds." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/18924.

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Die vorliegende Arbeit beschäftigt sich mit der Höhe (-log Determinante) kompakter nicht-singulärer heisenbergartiger Nilmannigfaltigkeiten. Heisenbergartige Nilmannigfaltigkeiten sind Verallgemeinerungen von Heisenbergmannigfaltigkeiten, d.h., kompakter Quotienten der Heisenberg-Gruppe, ausgestattet mit einer linksinvarianten Metrik. Zunächst werden explizite Formeln für die spektrale Zeta-Funktion und die Höhe bewiesen. Mithilfe dieser Formeln werden im Weiteren mehrere Resultate zur Existenz unterer Schranken/Minima der Höhe auf verschiedenen Moduli bewiesen. Zum Beispiel ist die Höhe st
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Costa, Ricardo Pinheiro da. "Propriedades de simetria para soluções de equações elípticas quase lineares em modelos riemannianos." Universidade Federal da Paraí­ba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7436.

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Made available in DSpace on 2015-05-15T11:46:20Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1326144 bytes, checksum: 8caf7598b3ff31900cccda592a06981f (MD5) Previous issue date: 2014-07-25<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this work we investigate monotonicity and symmetry properties of of solutions to equations involving the p-Laplace-Beltrami operator in hyperbolic space and sphere. The main tools used to obtain the result is a variant of the method of moving planes and a careful use of the maximum and comparison principles<br>Neste trabalh
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41

Viola, Maria Grazia. "Superfici a curvatura gaussiana costante negativa." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/19271/.

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Se S è una superficie differenziabile di R^3, la curvatura gaussiana K(P) di S in un punto P è invariante per isometrie locali e fornisce informazioni sul comportamento di S intorno al punto. Il Teorema Egregium di Gauss asserisce che la curvatura di una superficie dipende solo dalla sua prima forma fondamentale, quindi si può definire anche per una superficie astratta. Nel caso di superfici a curvatura costante la condizione del teorema di Gauss diventa anche sufficiente, in quanto Minding ha mostrato che due superfici con la stessa curvatura costante sono localmente isometriche. Richiedere c
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42

Ferchichi, Jamel. "Sensibilité par rapport à la forme dans les variétés singulières : Frontières et interfaces libres dans des écoulements viscoplastiques." Paris, ENMP, 2003. http://www.theses.fr/2003ENMP1136.

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Faraco, Gianluca. "Struttura Kahler degli spazi di Teichmuller." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2014. http://amslaurea.unibo.it/7472/.

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Gli spazi di Teichmuller nacquero come risposta ad un problema posto diversi anni prima da Bernhard Riemann, che si domandò in che modo poter parametrizzare le strutture complesse supportate da una superficie fissata; in questo lavoro di tesi ci proponiamo di studiarli in maniera approfondita. Una superficie connessa, orientata e dotata di struttura complessa, prende il nome di superficie di Riemann e costituisce l’oggetto principe su cui si basa l’intero studio affrontato nelle pagine a seguire. Il teorema di uniformizzazione per le superfici di Riemann permette di fare prima distinzione ne
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Lytle, George H. "APPROXIMATIONS IN RECONSTRUCTING DISCONTINUOUS CONDUCTIVITIES IN THE CALDERÓN PROBLEM." UKnowledge, 2019. https://uknowledge.uky.edu/math_etds/61.

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In 2014, Astala, Päivärinta, Reyes, and Siltanen conducted numerical experiments reconstructing a piecewise continuous conductivity. The algorithm of the shortcut method is based on the reconstruction algorithm due to Nachman, which assumes a priori that the conductivity is Hölder continuous. In this dissertation, we prove that, in the presence of infinite-precision data, this shortcut procedure accurately recovers the scattering transform of an essentially bounded conductivity, provided it is constant in a neighborhood of the boundary. In this setting, Nachman’s integral equations have a mean
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Apel, Thomas, and Cornelia Pester. "Clément-type interpolation on spherical domains - interpolation error estimates and application to a posteriori error estimation." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601335.

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In this paper, a mixed boundary value problem for the Laplace-Beltrami operator is considered for spherical domains in $R^3$, i.e. for domains on the unit sphere. These domains are parametrized by spherical coordinates (\varphi, \theta), such that functions on the unit sphere are considered as functions in these coordinates. Careful investigation leads to the introduction of a proper finite element space corresponding to an isotropic triangulation of the underlying domain on the unit sphere. Error estimates are proven for a Clément-type interpolation operator, where appropriate, we
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Piantella, Ana Carla. "Aproximação na esfera por uma soma com pesos de harmônicos esféricos." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-08052007-164553/.

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O objetivo deste trabalho é estudar aproximação na esfera por uma soma com pesos de harmônicos esféricos. Apresentamos condições necessárias e suficientes sobre os pesos para garantir a convergência, tanto no caso contínuo quanto no caso Lp. Analisamos a ordem de convergência dos processos aproximatórios usando um módulo de suavidade esférico relacionado à derivada forte de Laplace-Beltrami. Incluímos provas para vários resultados sobre a derivada forte de Laplace-Beltrami, já que não conseguimos encontrá-las na literatura<br>The subject of this work is to study approximation on the sphere by
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47

Gemmrich, Simon. "A first-kind boundary integral study to solve the Laplace-Beltrami equation on a subsurface of the unit sphere and a multigrid algorithm for the acoustic single layer equation." Thesis, McGill University, 2009. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66653.

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This dissertation is a study of two independent problems from the common research area of boundary element methods used to solve elliptic boundary value problems. Both topics focus mainly on a single layer approach. For the first project we consider the Laplace-Beltrami Dirichlet problem on a subsurface of the unit sphere in R^3. We derive and analyze a boundary element method for a first-kind integral equation to solve this boundary value problem. The method can be used to study the motion of point vortices on a sphere with impenetrable walls; we compare our approach with pr
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Delengov, Vladimir. "Computing Eigenmodes of Elliptic Operators on Manifolds Using Radial Basis Functions." Scholarship @ Claremont, 2018. https://scholarship.claremont.edu/cgu_etd/113.

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In this work, a numerical approach based on meshless methods is proposed to obtain eigenmodes of Laplace-Beltrami operator on manifolds, and its performance is compared against existing alternative methods. Radial Basis Function (RBF)-based methods allow one to obtain interpolation and differentiation matrices easily by using scattered data points. We derive expressions for such matrices for the Laplace-Beltrami operator via so-called Reilly’s formulas and use them to solve the respective eigenvalue problem. Numerical studies of proposed methods are performed in order to demonstrate convergenc
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Camacho, Fernando F. "A Posteriori Error Estimates for Surface Finite Element Methods." UKnowledge, 2014. http://uknowledge.uky.edu/math_etds/21.

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Problems involving the solution of partial differential equations over surfaces appear in many engineering and scientific applications. Some of those applications include crystal growth, fluid mechanics and computer graphics. Many times analytic solutions to such problems are not available. Numerical algorithms, such as Finite Element Methods, are used in practice to find approximate solutions in those cases. In this work we present L2 and pointwise a posteriori error estimates for Adaptive Surface Finite Elements solving the Laplace-Beltrami equation −△Γ u = f . The two sources of errors for
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Rodrigues, Diego Samuel. "Tratamento numérico da mecânica de interfaces lipídicas: modelagem e simulação." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-04042016-114915/.

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A mecânica celular jaz nas propriedades materiais da membrana plasmática, fundamentalmente uma bicamada fosfolipídica com espessura de dimensões moleculares. Além de forças elásticas, tal material bidimensional também experimenta tensões viscosas devido ao seu comportamento fluido (presumivelmente newtoniano) na direção tangencial. A despeito da notável concordância entre teoria e experimentos biofísicos sobre a geometria de membranas celulares, ainda não se faz presente um método computacional para simulação de sua (real) dinâmica viscosa governada pela lei de Boussinesq-Scriven. Assim sendo,
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