Lyon, Univ. 2 Lumière, Thèse, 2006.

vii, 41 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number. / We generalize a theorem of Zhu relating the trace of certain vertex algebra representations and modular invariants to the arena of vertex super algebras. The theorem explains why the space of simple characters for the Neveu-Schwarz minimal models NS( p, q ) is modular invariant. It also expresses negative products in terms of positive products, which are easier to compute. As a consequence of the main theorem, the subleading coefficient of the singular vectors of NS( p, q ) is determined for p and q odd. An interesting family of q -series identities is established. These consequences established here generalize results of Milas in this field. / Adviser: Arkady Vaintrob

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abstract: As additive manufacturing grows as a cost-effective method of manufacturing, lighter, stronger and more efficient designs emerge. Heat exchangers are one of the most critical thermal devices in the thermal industry. Additive manufacturing brings us a design freedom no other manufacturing technology offers. Advancements in 3D printing lets us reimagine and optimize the performance of the heat exchangers with an incredible design flexibility previously unexplored due to manufacturing constraints. In this research, the additive manufacturing technology and the heat exchanger design are explored to find a unique solution to improve the efficiency of heat exchangers. This includes creating a Triply Periodic Minimal Surface (TPMS) geometry, Schwarz-D in this case, using Mathematica with a flexibility to control the cell size of the models generated. This model is then encased in a closed cubical surface with manifolds for fluid inlets and outlets before 3D printed using the polymer nylon for thermal evaluation. In the extent of this study, the heat exchanger developed is experimentally evaluated. The data obtained are used to derive a relationship between the heat transfer effectiveness and the Number of Transfer Units (NTU).The pressure loss across a fluid channel of the Schwarz D geometry is also studied. The data presented in this study are part of initial experimental evaluation of 3D printed TPMS heat exchangers.Among heat exchangers with similar performance, the Schwarz D geometry is 32% smaller compared to a shell-and-tube heat exchanger. / Dissertation/Thesis / Masters Thesis Mechanical Engineering 2018

This thesis explores the problem of self-empowerment for the French Caribbean Black woman as presented in the novels Moi, Tituba, sorcière...Noire de Salem and Pluie et vent sur Télumée Miracle. The respective authors, Maryse Condé and Simone Schwarz- Bart, use fiction to convey the plight of women in the French Caribbean. They successfully create characters who refuse marginalization imposed by their patriarchal and oppressive societies. Condé’s novel, set in the 17th century first in Barbados, and then in Puritan New England depicts the challenges Tituba overcomes in reaching liberation. Schwarz-Bart presents the story of Télumée, set in Guadeloupe at the beginning of the 20th century. My study focuses specifically on the characters of Tituba and Télumée to show ways that they thwart the dominant social structures and norms that seek to disempower them. It reveals ways that Condé and Schwarz-Bart make use of literature to reverse European perceptions of gender and race. Consequently, the literary fictions they create suggest possible ways of escaping marginalization and refusing racial and gendered subjugation. / Master of Arts

Nous allons étudier la résolution de problèmes linéaires en trois dimensions à l'aide de la méthode optimisée de Schwarz. Pour ce faire, nous allons d'abord présenter la méthode classique de Schwarz. Nous ferons une étude de convergence pour un problème type à l'aide de l'analyse de Fourier. Par la suite, nous expliquerons brièvement la méthode de discrétisation utilisée dans nos calculs, c'est-à-dire celle des éléments finis. Nous en profiterons pour présenter les problèmes à l'étude, soit les problèmes de diffusion et d'élasticité linéaire. Nous regarderons ensuite une généralisation de la méthode classique qui mènera à la méthode optimisée de Schwarz. De plus, nous proposerons la version discrète de la méthode optimisée. Finalement, quelques résultats numériques seront présentés. Nous mettrons en évidence plusieurs choix optimaux de paramètres pour des domaines homogènes et hétérogènes.

Esta tese investiga aspectos da configuração do raciocínio crítico de Roberto Schwarz. O principal material de análise são os ensaios sobre formas estéticas e culturais brasileiras redigidos pelo autor entre 1958 e 1968, num período que abrange a sua produção teórica anterior ao exílio na França. No exame deste percurso, pretende-se distinguir os embates contraditórios entre as categorias do crítico e certa experiência histórica ambivalente internalizada pelo romance local, que seria um dado estruturante na reflexão de Schwarz. Num primeiro momento, enquanto essa matéria social já desponta sob o signo difuso do malogro do realismo literário no país, o ponto de vista analítico-interpretativo supõe uma referência comum à noção de obra autônoma como instância congenial à crítica dialética. Às voltas com o golpe empresarial-miliar de 1964, Schwarz buscaria operar de modo incisivo com a sua imediatidade prática. E esse anseio de eficácia política da crítica, ao esbarrar em limites históricos, redefine e acirra os vetores divergentes que vinham caracterizando a sua experiência social do tempo. Desse modo, entrechocam-se ali juízos orientados por uma temporalidade cumulativa e ascendente, disputada em termos políticos radicais - e apoiada na crítica à ordem populista derrotada -, e diagnósticos sobre uma situação presente que parecia se acomodar a si mesma, sem antagonismos de classe nitidamente configurados, redimensionando-se o que Schwarz entendia ser o desdobramento realista da vida. / This dissertation investigates aspects of the configuration of Roberto Schwarzs critical argument. The main material of analysis are the essays about aesthetical and Brazilian cultural forms written by the author between 1958 and 1968, in a period that embraces his theoretical production prior to his exile in France. In the survey of this path, it is intended to distinguish the contradictory clashes between the categories of the critic and certain ambivalent historical experience internalized by the local novel, which would be a structuralizing data of Schwarzs meditation. At a first moment, while this social matter already appears under the diffuse sign of failure of literary realism in the country, the analytical-interpretive point of view supposes a common reference to the notion of autonomous work as the congenial instance to the dialectical criticism. Dealing with the corporate-military 1964 Brazilian coup détat, Schwarz would operate in a more incisive way with its practical immediacy. And this wish of the political efficacy of the criticism, when bumped against historical limits, redefines and stirs the divergent vectors that used to characterize his social experience of time. In this way, judgments oriented by a cumulative and ascending temporality, disputed in radical political terms - and backed by the criticism to the defeated populist order -, clash against diagnoses about a present situation that seemed to accommodate in itself, with no class antagonisms clearly configured, resizing what Schwarz understood to be the realistic unfolding of life.

<p>Inom många tillämpningar används konforma avbildningar för att transformera tvådimensionella områden till områden med enklare utseende. Ett exempel på ett sådant område är en kanal av varierande tjocklek begränsad av en kontinuerligt deriverbar kurva. I de tillämpningar som har motiverat detta arbete, är det viktigt att dessa egenskaper bevaras i det område en approximativ konform avbildning producerar, men det är också viktigt att begränsningskurvans riktning kan kontrolleras, särkilt i kanalens båda ändar.</p><p>Denna avhandling behandlar tre olika metoder för att numeriskt konstruera konforma avbildningar mellan ett enkelt standardområde, företrädesvis det övre halvplanet eller enhetscirkeln, och ett område begränsat av en kontinuerligt deriverbar kurva, där begränsningskurvans riktning kan kontrolleras, exakt eller approximativt.</p><p>Den första metoden är en utveckling av en idé, först beskriven av Peter Henrici, där en modifierad Schwarz-Christoffel-avbildning avbildar det övre halvplanet konformt på en polygon med rundade hörn.</p><p>Med utgångspunkt i denna idé skapas en algoritm för att konstruera avbildningar på godtyckliga områden med släta randkurvor.</p><p>Den andra metoden bygger också den på Schwarz-Christoffel-avbildningen, och utnyttjar det faktum att om enhetscirkeln eller halvplanet avbildas på en polygon kommer ett område Q i det inre av dessa, som till exempel en cirkel med centrum i origo och radie mindre än 1, eller ett område i övre halvplanet begränsat av två strålar, att avbildas på ett område R i det inre av polygonen begränsat av en slät kurva. Vi utvecklar en metod för att hitta ett polygonalt område P, utanför det Omega som man önskar att skapa en avbildning för, sådant att den Schwarz-Christoffel-avbildning som avbildar enhetscirkeln eller halvplanet på P, avbildar Q på Omega.</p><p>I båda dessa fall används tangentpolygoner för att numeriskt bestämma den önskade avbildningen.</p><p>Slutligen beskrivs en metod där en av Don Marshalls så kallade zipper-algoritmer används för att skapa en avbildning mellan det övre</p><p>halvplanet och en godtycklig kanal, begränsad av släta kurvor, som i båda ändar går mot oändligheten som räta parallella linjer.</p> / <p>In many applications, conformal mappings are used to transform two-dimensional regions into simpler ones. One such region for which conformal mappings are needed is a channel bounded by continuously differentiable curves. In the applications that have motivated this work, it is important that the region an approximate conformal mapping produces, has this property, but also that the direction of the curve can be controlled, especially in the ends of the channel.</p><p>This thesis treats three different methods for numerically constructing conformal mappings between the upper half-plane or unit circle and a region bounded by a continuously differentiable curve, where the direction of the curve in a number of control points is controlled, exact or approximately.</p><p>The first method is built on an idea by Peter Henrici, where a modified Schwarz-Christoffel mapping maps the upper half-plane conformally on a polygon with rounded corners. His idea is used in an algorithm by which mappings for arbitrary regions, bounded by smooth curves are constructed.</p><p>The second method uses the fact that a Schwarz-Christoffel mapping from the upper half-plane or unit circle to a polygon maps a region Q inside the half-plane or circle, for example a circle with radius less than 1 or a sector in the half--plane, on a region Omega inside the polygon bounded by a smooth curve. Given such a region Omega, we develop methods to find a suitable outer polygon and corresponding Schwarz-Christoffel mapping that gives a mapping from Q to Omega.</p><p>Both these methods use the concept of tangent polygons to numerically determine the coefficients in the mappings.</p><p>Finally, we use one of Don Marshall's zipper algorithms to construct conformal mappings from the upper half--plane to channels bounded by arbitrary smooth curves, with the additional property that they are parallel straight lines when approaching infinity.</p>

Le travail effectué dans cette thèse a consisté à analyser différents aspects mathématiques et numériques d'une stratégie de résolution des problèmes de propagation d'onde acoustique et électromagnétique en domaine extérieur. Nous nous intéressons plus particulièrement à la méthode de couplage entre éléments finis et représentation intégrale (CEFRI) où nous analysons un algorithme de résolution itérative par analogie avec une méthode de décomposition de domaine ainsi que l'utilisation de la méthode multipôles rapide (FMM). Le système à résoudre fait intervenir des opérateurs intégraux ce qui rend crucial le recours à des méthodes rapides telles que la FMM. L'analogie avec une méthode de décomposition de domaine s'obtient par extension au problème de Maxwell des résultats établis par F. Ben Belgacem et al. pour le problème de Helmholtz posé en domaine non borné. Pour cela, nous avons montré le lien entre la méthode CEFRI et la méthode de Schwarz avec recouvrement total pour la résolution du problème de Maxwell en domaine non borné. Cette relecture de la méthode CEFRI offre également une technique de préconditionnement pour les solveurs de Krylov et nous a permis d'avoir une idée préliminaire sur la convergence de ces méthodes. Ainsi, nous nous intéressons plutôt à des méthodes itératives rapides. Pour cela, nous avons mené une analyse théorique afin de montrer la convergence superlinéaire du GMRES dans une configuration sphérique. La validation de ces aspects a été réalisée par l'enrichissement de nombreux intégrants de la librairie éléments finis Mélina++, en C++. / We are concerned with the study of different aspects of a numerical strategy for the resolution of acoustic and electromagnetic scattering problems. We focus more particu- larly on a coupling of finite element and integral representation (CEFRI) : we study an iterative algorithm by analogy with a domain decomposition method, and consider the use of the Fast Multipole Method (FMM). The system to be solved involves integral operators which requires the use of fast methods such as the FMM. The correspondence with a domain decomposition method is obtained by extending to the exterior Maxwell problem the results derived by F. Ben Belgacem et al. for the Helmholtz problem posed in unbounded domain. To this aim, we show the analogy to the Schwarz method with total overlap. This interpretation of CEFRI suggests a preconditioner for Krylov solvers and enables us to have a preliminary idea of their convergence. We derive in this context an analytical proof of a superlinear convergence of GMRES in a spherical configuration. The validation of these aspects has been achieved by the enrichment of the finite element library Mélina++ in C++.

Tomando como ponto de partida a experiência intelectual compartilhada por Fernando Henrique Cardoso e Roberto Schwarz no chamado Seminário Marx, o presente trabalho constitui um estudo a respeito das elaborações marxistas de ambos os autores a respeito das linhas de força do desenvolvimento da sociedade capitalista no Brasil a partir de sua independência. O intuito de aproximar os dois autores é destacar os pontos de convergência de suas formas de pensar, o que permitiria afirmar a existência de uma interpretação do Brasil forjada nos trabalhos de alguns dos participantes do Seminário Marx. O trabalho argumenta que a formulação da mencionada interpretação do Brasil nos trabalhos dos dois autores foi derivada de uma análise crítica do legado teórico de Karl Marx, processo o qual designamos, conforme a literatura pertinente, de nacionalização do marxismo, e de outras interpretações do Brasil precedentes, entre as quais se destacam as formuladas por Caio Prado Júnior, Antonio Candido, Florestan Fernandes e Celso Furtado. Segundo o que se buscará demonstrar, esse processo de elaboração teórica dos autores pode ser interpretado a partir da noção de crítica da ideologia. Do ponto de vista expositivo, a tese conta com duas partes: a primeira é dedicada à análise dos estudos realizados por Cardoso e Schwarz a respeito da sociedade escravocrata brasileira do século XIX; já a segunda tomo como referência as interpretações dos dois autores a respeito do processo de desenvolvimento e modernização do país no século XX, com atenção especial ao período pós-1930. / Having as a starting point the intellectual experience shared by Fernando Henrique Cardoso and Roberto Schwarz in the so-called Marx Seminar, the present work constitutes a comparative study regarding the Marxist elaborations of both authors regarding the lines of force of the development of capitalist society in Brazil since its independence. The purpose of the comparison is to highlight the points of convergence of their thinking, which would allow to affirm the existence of an \"interpretation of Brazil\" forged in the works of some of the participants of the Marx Seminar. The thesis argues that the formulation of the mentioned \"interpretation of Brazil\" in the works of the two authors was derived from a critical analysis of the theoretical legacy of Karl Marx, a process which a relevant literature calls \"nationalization of Marxism\", besides the influence of other previous \"interpretations of Brazil\", as those formulated by Caio Prado Júnior, Antonio Candido, Florestan Fernandes and Celso Furtado. Taking this in account, it will be tried to demonstrate that the process of theoretical elaboration of the authors can be interpreted from the notion of ideology critique. In formal terms the thesis has two parts: the first is dedicated to the analysis of the studies carried out by Cardoso and Schwarz on the Brazilian slave society of the 19th century; the second one is based on the interpretations of the two authors about the development and modernization of the country in the 20th century, with special attention to the post-1930 period.