Relevant bibliographies by topics / Topology (Applied)

Academic literature on the topic 'Topology (Applied)'

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Published: 4 June 2021
Last updated: 20 February 2023

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Journal articles on the topic "Topology (Applied)"

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Vick, James W. "Topology Now! Introduction to Topology: Pure and Applied." American Mathematical Monthly 116, no. 4 (April 1, 2009): 373–75. http://dx.doi.org/10.4169/193009709x470263.

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Munk, David J., Markus Selzer, Grant P. Steven, and Gareth A. Vio. "Topology Optimization Applied to Transpiration Cooling." AIAA Journal 57, no. 1 (January 2019): 297–312. http://dx.doi.org/10.2514/1.j057411.

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EL-MONSEF, M. E. ABD, A. M. KOZAE, and A. A. ABO KHADRA. "CO-RS-COMPACT TOPOLOGIES." Tamkang Journal of Mathematics 24, no. 3 (September 1, 1993): 323–32. http://dx.doi.org/10.5556/j.tkjm.24.1993.4504.

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A topology $R(\tau)$ is contructed from a given topolgy $\tau$ on a set $X$ . $R(\tau)$ is coarser than $\tau$, and the following are some results based on this topology: 1. Continuity and RS-continuity are equivalent if the codomain is re­ topologized by $R(\tau)$. 2. The class of semi-open sets with respect to $R(\tau)$ is a topology. 3. $T_2$ and semi-$T_2$ properties are equivalent on a space whose topology is $R(\tau)$. 4. Minimal $R_0$-spaces are RS-compact:
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ROY, MARIO, HIROKI SUMI, and MARIUSZ URBAŃSKI. "Lambda-topology versus pointwise topology." Ergodic Theory and Dynamical Systems 29, no. 2 (April 2009): 685–713. http://dx.doi.org/10.1017/s0143385708080292.

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AbstractThis paper deals with families of conformal iterated function systems (CIFSs). The space CIFS(X,I) of all CIFSs, with common seed space X and alphabet I, is successively endowed with the topology of pointwise convergence and the so-calledλ-topology. We show just how bad the topology of pointwise convergence is: although the Hausdorff dimension function is continuous on a dense Gδ-set, it is also discontinuous on a dense subset of CIFS(X,I). Moreover, all of the different types of systems (irregular, critically regular, etc.), have empty interior, have the whole space as boundary, and thus are dense in CIFS(X,I), which goes against intuition and conception of a natural topology on CIFS(X,I). We then prove how good the λ-topology is: Roy and Urbański [Regularity properties of Hausdorff dimension in infinite conformal IFSs. Ergod. Th. & Dynam. Sys.25(6) (2005), 1961–1983] have previously pointed out that the Hausdorff dimension function is then continuous everywhere on CIFS(X,I). We go further in this paper. We show that (almost) all of the different types of systems have natural topological properties. We also show that, despite not being metrizable (as it does not satisfy the first axiom of countability), the λ-topology makes the space CIFS(X,I) normal. Moreover, this space has no isolated points. We further prove that the conformal Gibbs measures and invariant Gibbs measures depend continuously on Φ∈CIFS(X,I) and on the parameter t of the potential and pressure functions. However, we demonstrate that the coding map and the closure of the limit set are discontinuous on an important subset of CIFS(X,I).
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Marinakis, Dimitri, and Gregory Dudek. "Occam's Razor Applied to Network Topology Inference." IEEE Transactions on Robotics 24, no. 2 (April 2008): 293–306. http://dx.doi.org/10.1109/tro.2008.918048.

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Kovalevsky, V. A. "Finite topology as applied to image analysis." Computer Vision, Graphics, and Image Processing 45, no. 2 (February 1989): 266. http://dx.doi.org/10.1016/0734-189x(89)90139-4.

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Kovalevsky, V. A. "Finite topology as applied to image analysis." Computer Vision, Graphics, and Image Processing 46, no. 2 (May 1989): 141–61. http://dx.doi.org/10.1016/0734-189x(89)90165-5.

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Herman, Gabor T. "On topology as applied to image analysis." Computer Vision, Graphics, and Image Processing 52, no. 3 (December 1990): 409–15. http://dx.doi.org/10.1016/0734-189x(90)90084-9.

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Herman, Gabor T. "On topology as applied to image analysis." Computer Vision, Graphics, and Image Processing 52, no. 1 (October 1990): 144. http://dx.doi.org/10.1016/0734-189x(90)90133-g.

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Socolovsky, M. "Topology and Collapse." Advances in Applied Clifford Algebras 20, no. 1 (October 6, 2008): 179–84. http://dx.doi.org/10.1007/s00006-008-0136-1.

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Dissertations / Theses on the topic "Topology (Applied)"

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Ortiz, Marcos A. "Convex decomposition techniques applied to handlebodies." Diss., University of Iowa, 2015. https://ir.uiowa.edu/etd/1713.

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Contact structures on 3-manifolds are 2-plane fields satisfying a set of conditions. The study of contact structures can be traced back for over two-hundred years, and has been of interest to mathematicians such as Hamilton, Jacobi, Cartan, and Darboux. In the late 1900's, the study of these structures gained momentum as the work of Eliashberg and Bennequin described subtleties in these structures that could be used to find new invariants. In particular, it was discovered that contact structures fell into two classes: tight and overtwisted. While overtwisted contact structures are relatively well understood, tight contact structures remain an area of active research. One area of active study, in particular, is the classification of tight contact structures on 3-manifolds. This began with Eliashberg, who showed that the standard contact structure in real three-dimensional space is unique, and it has been expanded on since. Some major advancements and new techniques were introduced by Kanda, Honda, Etnyre, Kazez, Matić, and others. Convex decomposition theory was one product of these explorations. This technique involves cutting a manifold along convex surfaces (i.e. surfaces arranged in a particular way in relation to the contact structure) and investigating a particular set on these cutting surfaces to say something about the original contact structure. In the cases where the cutting surfaces are fairly nice, in some sense, Honda established a correspondence between information on the cutting surfaces and the tight contact structures supported by the original manifold. In this thesis, convex surface theory is applied to the case of handlebodies with a restricted class of dividing sets. For some cases, classification is achieved, and for others, some interesting patterns arise and are investigated.
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Naidoo, Inderasan. "Nearness and convergence in pointfree topology." Doctoral thesis, University of Cape Town, 2004. http://hdl.handle.net/11427/5962.

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Bibliography: leaves 99-106.
We introduce and investigate the concept of a nearness structure on a σ-frame. Analogues of the Samuel Compactification, Uniform Coreflection and Completion in the nearness σ-frame setting are obtained. Convergence in uniform frames is also a subject of this thesis integrating compactness, precompactness and paracompactness. Finally, the notion of uniform paracompactness is introduced and its relation with convergence is investigated.
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Grimaud, Lou. "Magnetic shielding topology applied to low power Hall thrusters." Thesis, Orléans, 2018. http://www.theses.fr/2018ORLE2046/document.

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Les propulseurs de Hall sont l’une des techniques de propulsion fusée par plasma les plus utilisés. Ils possèdent une impulsion spécifique moyenne et un haut rapport poussé sur puissance qui les rend idéal pour une grande partie des applications commerciales et scientifiques. Une de leurs limitations principales est l’érosion des parois du propulseur par le plasma qui réduit leur durée de vie. La topologie dite “d’écrantage magnétique” est une solution proposée pour prolonger cette durée de vie. Elle est ici appliquée à un petit propulseur de Hall de 200W. Dans cette thèse les règles de mise à l’échelle pour les propulseurs de Hall de la gamme de 100 à 200W sont testées expérimentalement. Un propulseur écranté de 200W est comparé avec un propulseur standard similaire. Le comportement des ions dans ces deux moteurs est extrêmement différent. Des mesures de performance ont été réalisées avec des parois en BN-SiO2 et graphite. Le courant de décharge augmente de 25% avec le graphite dans le propulseur non-écranté. Le résultat et un rendement maximum de 38% avec le nitrure de bore mais de seulement 31% pour le graphite. Le propulseur écranté quant à lui n’atteint que 25% de rendement quel que soit le matériau.Cette baisse de performance dans les petits moteurs écrantés peut être attribuée à un mauvais rendement d’utilisation de l’ergol. Analyses des résultats expérimentaux ainsi que la conduite de simulations suggèrent que cela est dû au fait que la zone d’ionisation ne couvre pas l’ensemble du canal de décharge. Un nouveau design pour un petit propulseur de Hall écranté est proposé
Hall thrusters are one of the most used rocket electric propulsion technology. They combine moderate specific impulse with high thrust to power ratio which makes them ideal for a wide range of practical commercial and scientific applications. One of their limitations is the erosion of the thruster walls which reduces their lifespan.The magnetic shielding topology is a proposed solution to prolong the lifespan. It is implemented on a small200W Hall thruster.In this thesis the scaling of classical unshielded Hall thrusters down to 200 and 100W is discussed. A 200W low power magnetically shielded Hall thruster is compared with an identically sized unshielded one. The ion behavior inside the thruster is measured and significant differences are found across the discharge channel.Both thrusters are tested with classical BN-SiO2 and graphite walls. The magnetically shielded thruster is not sensitive to the material change while the discharge current increase by 25% in the unshielded one. The result is a maximum efficiency of 38% for boron nitride in the unshielded thruster but only 31% with graphite.The shielded thruster achieves a significantly lower efficiency with only 25% efficiency with both materials.Analysis of the experimental results as well as simulations of the thrusters reveal that the performance difference is mostly caused by low propellant utilization. This low propellant utilization comes from the fact that the ionization region doesn’t cover all of the discharge channel. A new magnetically shielded thruster is designed to solve this issue
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Holmberg, Erik. "Topology optimization considering stress, fatigue and load uncertainties." Doctoral thesis, Linköpings universitet, Mekanik och hållfasthetslära, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-123008.

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This dissertation concerns structural topology optimization in conceptual design stages. The objective of the project has been to identify and solve problems that prevent structural topology optimization from being used in a broader sense in the avionic industry; therefore the main focus has been on stress and fatigue constraints and robustness with respect to load uncertainties. The thesis consists of two parts. The first part gives an introduction to topology optimization, describes the new contributions developed within this project and motivates why these are important. The second part includes five papers. The first paper deals with stress constraints and a clustered approach is presented where stress constraints are applied to stress clusters, instead of being defined for each point of the structure. Different approaches for how to create and update the clusters, such that sufficiently accurate representations of the local stresses are obtained at a reasonable computational cost, are developed and evaluated. High-cycle fatigue constraints are developed in the second paper, where loads described by a variable-amplitude load spectrum and material data from fatigue tests are used to determine a limit stress, for which below fatigue failure is not expected. A clustered approach is then used to constrain the tensile principal stresses below this limit. The third paper introduces load uncertainties and stiffness optimization considering the worst possible loading is then formulated as a semi-definite programming problem, which is solved very efficiently. The load is due to acceleration of point masses attached to the structure and the mass of the structure itself, and the uncertainty concerns the direction of the acceleration. The fourth paper introduces an extension to the formulated semi-definite programming problem such that both fixed and uncertain loads can be optimized for simultaneously. Game theory is used in the fifth paper to formulate a general framework, allowing essentially any differentiable objective and constraint functions, for topology optimization under load uncertainty. Two players, one controlling the structure and one the loads, are in conflict such that a solution to the game, a Nash equilibrium, is a design optimized for the worst possible load.
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Sá, Luís Fernando Nogueira de. "Topology optimization method applied to laminar flow machine rotor design." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/3/3152/tde-16032017-103709/.

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Flow machines are very important to industry, being widely used on various processes. Performance improvements are relevant factors and can be achieved by using optimization methods, such as topology optimization. Thus, this work aims to develop a method to design radial flow machine rotors operating on laminar regime, by implementing a topology optimization formulation based on density model. The design of a rotor involves firstly modelling the fluid flow by using the Navier-Stokes equations on a rotating reference frame and using the Finite Element Method for solving the differential equations. To determine the material distribution on the domain, a porous flow model based on the Darcy equation is employed by using an inverse permeability that interpolates between fluid and solid. In the optimization phase, it is defined a multi-objective function that aims to minimize the viscous energy dissipation, vorticity and power. The optimization problem is implemented using the FEniCS environment and the libraries dolfin-adjoint and pyIpopt. The optimized topologies are verified with the ANSYS software. The resulting topologies are post-processed and a CAD model is created. The rotors are manufactured by using a 3D printer, the complete prototype is built by coupling an electric brushless motor and an experimental characterization is performed by measuring fluid flow and pressure head given by the pumps. Experimental and computational results are compared and the improvement is verified.
Máquinas de fluxo são muito importantes para a indústria, sendo utilizadas em diversos processos. Assim, melhorias de desempenho são fatores relevantes e podem ser alcançadas com a utilização de métodos de otimização, como a otimização topológica. Este trabalho visa desenvolver uma metodologia para projetar rotores de máquinas de fluxo radiais que operam em escoamento laminar implementando-se a formulação de otimização topológica baseada no modelo de densidades. O projeto de rotores envolve, primeiramente, a modelagem do escoamento utilizando-se as equações de Navier-Stokes em um referencial rotativo e a utilização do Método de Elementos Finitos para a resolução das equações diferenciais. A distribuição de material no domínio é feita empregando-se um modelo de escoamento em meio poroso baseado nas equações de Darcy, utilizando-se a permeabilidade inversa que interpola o elemento entre sólido e fluido. Na fase de otimização é definida uma função multi-objetivo, que visa minimizar dissipação de energia viscosa, a vorticidade e a potência. O problema de otimização é implementado utilizando-se o ambiente FEniCS para a resolução do sistema de elementos finitos e as bibliotecas dolfin-adjoint e pyIpopt para o algorithmo de otimização. As topologias otimizadas são verificadas com o software ANSYS. As topologias resultantes são pós-processadas para a criação de um modelo CAD dos rotores. Os rotores são construídos utilizando-se a impressão 3D, o protótipo completo é montado acoplando-se um motor elétrico sem escovas e a caracterização experimental é feita medindo-se a vazão e o ganho de pressão dados pelas bombas. Por fim, os resultados experimentais e computacionais são comparados e uma melhoria de desempenho é observada.
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Suresh, Shyam. "Topology Optimization for Additive Manufacturing Involving High-Cycle Fatigue." Licentiate thesis, Linköpings universitet, Mekanik och hållfasthetslära, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-165503.

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Additive Manufacturing (AM) is gaining popularity in aerospace and automotive industries. This is a versatile manufacturing process, where highly complex structures are fabricated and together with topology optimization, a powerful design tool, it shares the property of providing a very large freedom in geometrical form. The main focus of this work is to introduce new developments of Topology Optimization (TO) for metal AM. The thesis consists of two parts. The first part introduces background and theory, where TO and adjoint sensitivity analysis are described. Furthermore, methodology used to identify surface layer and high-cycle fatigue are introduced. In the second part, three papers are appended, where the first paper presents the treatment of surface layer effects, while the second and third papers provide high-cycle fatigue constraint formulations. In Paper I, a TO method is introduced to account for surface layer effects, where different material properties are assigned to bulk and surface regions. In metal AM, the fabricated components in as-built surface conditions significantly affect mechanical properties, particularly fatigue properties. Furthermore, the components are generally in-homogeneous and have different microstructures in bulk regions compared to surface regions. We implement two density filters to account for surface effects, where the width of the surface layer is controlled by the second filter radius. 2-D and 3-D numerical examples are treated, where the structural stiffness is maximized for a limited mass. For Papers II and III, a high-cycle fatigue constraint is implemented in TO. A continuous-time approach is used to predict fatigue-damage. The model uses a moving endurance surface and the development of damage occurs only if the stress state lies outside the endurance surface. The model is applicable not only for isotropic materials (Paper II) but also for transversely isotropic material properties (Paper III). It is capable of handling arbitrary load histories, including non-proportional loads. The anisotropic model is applicable for additive manufacturing processes, where transverse isotropic properties are manifested not only in constitutive elastic response but also in fatigue properties. Two optimization problems are solved: In the first problem the structural mass is minimized subject to a fatigue constraint while the second problem deals with stiffness maximization subjected to a fatigue constraint and mass constraint. Several numerical examples are tested with arbitrary load histories.
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Bavuma, Yanga. "Some combinatorial aspects in algebraic topology and geometric group theory." Master's thesis, University of Cape Town, 2018. http://hdl.handle.net/11427/29763.

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The present Msc thesis deals with classical topics of topology and it has been written, referring to [C. Kosniowski, Introduction to Algebraic Topology, Cambridge University Press, 1980, Cambridge], which is a well known textbook of algebraic topology. It has been selected a list of main exercises from this reference, whose solutions were not directly available, or subject to differerent methods. In fact combinatorial methods have been preferred and the result is a self-contained dissertation on the theory of the fundamental group and of the coverings. Finally, there are some recent problems in geometric group theory which are related to the presence of finitely presented groups which appear naturally as fundamental groups.
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Gonzalez, Lorenzo Aldo. "Computational homology applied to discrete objects." Thesis, Aix-Marseille, 2016. http://www.theses.fr/2016AIXM4073/document.

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La théorie de l'homologie formalise la notion de trou dans un espace. Pour un sous-ensemble de l'espace Euclidien, on définit une séquence de groupes d'homologie, dont leurs rangs sont interprétés comme le nombre de trous de chaque dimension. Ces groupes sont calculables quand l'espace est décrit d'une façon combinatoire, comme c'est le cas pour les complexes simpliciaux ou cubiques. À partir d'un objet discret (un ensemble de pixels, voxels ou leur analogue en dimension supérieure) nous pouvons construire un complexe cubique et donc calculer ses groupes d'homologie.Cette thèse étudie trois approches relatives au calcul de l'homologie sur des objets discrets. En premier lieu, nous introduisons le champ de vecteurs discret homologique, une structure combinatoire généralisant les champs de vecteurs gradients discrets, qui permet de calculer les groupes d'homologie. Cette notion permet de voir la relation entre plusieurs méthodes existantes pour le calcul de l'homologie et révèle également des notions subtiles associés. Nous présentons ensuite un algorithme linéaire pour calculer les nombres de Betti dans un complexe cubique 3D, ce qui peut être utilisé pour les volumes binaires. Enfin, nous présentons deux mesures (l'épaisseur et l'ampleur) associés aux trous d'un objet discret, ce qui permet d'obtenir une signature topologique et géométrique plus intéressante que les simples nombres de Betti. Cette approche fournit aussi quelques heuristiques permettant de localiser les trous, d'obtenir des générateurs d'homologie ou de cohomologie minimaux, d'ouvrir et de fermer les trous
Homology theory formalizes the concept of hole in a space. For a given subspace of the Euclidean space, we define a sequence of homology groups, whose ranks are considered as the number of holes of each dimension. Hence, b0, the rank of the 0-dimensional homology group, is the number of connected components, b1 is the number of tunnels or handles and b2 is the number of cavities. These groups are computable when the space is described in a combinatorial way, as simplicial or cubical complexes are. Given a discrete object (a set of pixels, voxels or their analog in higher dimension) we can build a cubical complex and thus compute its homology groups.This thesis studies three approaches regarding the homology computation of discrete objects. First, we introduce the homological discrete vector field, a combinatorial structure which generalizes the discrete gradient vector field and allows to compute the homology groups. This notion allows to see the relation between different existing methods for computing homology. Next, we present a linear algorithm for computing the Betti numbers of a 3D cubical complex, which can be used for binary volumes. Finally, we introduce two measures (the thickness and the breadth) associated to the holes in a discrete object, which provide a topological and geometric signature more interesting than only the Betti numbers. This approach provides also some heuristics for localizing holes, obtaining minimal homology or cohomology generators, opening and closing holes
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Kian, Jacqueline de Miranda. "Topology optimization method applied to design channels considering non-newtonian fluid flow." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/3/3152/tde-05012018-084558/.

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The study of non-Newtonian flow is presents itself as relevant in bioengineering field, specially for design of devices that conduct blood, as arterial bypass grafts. Improvements in reducing energy dissipation and blood cell damage caused by artificial flows can be achieved by using numerical simulation and optimization methods. Thus, the present work proposes the study of design channels for steady, incompressible non-Newtonian flow, by using Topology Optimization Method based on the density method. The fluid flow is modeled with the Navier-Stokes equations coupled with Carreau-Yasuda constitutive equation for the dynamic viscosity to take into account the effects of the non-Newtonian blood properties. The Topology Optimization Method distributes regions of solid and fluid, given a volume constraint, within a specified domain in order to obtain a geometry and layout that minimizes energy dissipation, shear stress and vorticity by using the material pseudo-density as design variable. To apply this method to fluidic systems design, a fictional porous media based on Darcy equation is introduced. The flow model is implemented in its discrete form by using the Finite Element Method through the OpenSource platform FEniCS, applied to automate the solution of mathematical models based on differential equations. The optimization problem is solved by using the library DOLFIN-adjoint and IPOpt optimizer. Optimized topologies of channels for blood flow, focusing in arterial bypass grafts, are presented to illustrate the proposed method.
O estudo de escoamento de fluidos não-Newtonianos apresenta-se relevante no campo de bioengenharia, em especial no projeto de dispositivos para condução de sangue, como bypass arterial. Melhorias na redução de dissipação de energia e no dano às células sanguíneas causados por fluxos artificiais podem ser obtidas através do uso de técnicas de simulação e otimização numéricas. Deste modo, este trabalho propõe o estudo do projeto de canais para escoamentos incompressíveis em regime permanente de fluidos não-Newtonianos através do Método de Otimização Topológica baseado no método de densidade. O escoamento é modelado com as equações de Navier-Stokes acopladas com a equação constitutiva de Carreau-Yasuda para a viscosidade dinâmica, para que sejam considerados os efeitos das propriedades não-Newtonianas do sangue. O Método de Otimização Topológica distribui regiões de sólido e fluido, dada uma restrição de volume, dentro de um domínio especificado de modo a obter uma geometria e configuração que minimize a dissipação de energia, tensão de cisalhamento e vorticidade, utilizando a pseudo-densidade do material como variável de projeto. Para aplicar este método a sistemas fluidos, um meio poroso fictício, baseado na equação de Darcy, é introduzido. O modelo de escoamento é implementado em sua forma discreta utilizando o Método de Elementos Finitos através da plataforma OpenSource FEniCS, aplicada para automatizar a solução dos modelos matemáticos baseados em equações diferenciais, e o problema de otimização é resolvido utilizando a biblioteca DOLFIN-adjoint e otimizador IPOpt. Topologias otimizadas de canais para fluxo de sangue, com foco em bypass arterial, são apresentadas para ilustrar o método proposto.
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Iwamura, Rafael Santos. "Minimax approach applied to topology optimization of structures subjected to multiple load cases." Instituto Tecnológico de Aeronáutica, 2013. http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=2834.

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This work investigates a topology optimization strategy for structures under multiple load cases. Typically compliance is calculated for each of the load cases in analysis and minimization is computed for a weighted average of the compliances, resulting in time consuming algorithms. A way to increase convergence speed is updating density on the element level. Instead of having an averaged compliance for the whole structure, it is proposed to compute it individually for every element. All load cases are analyzed, however only the ones of the maximum compliances are considered for sensitivity analysis. Thus compliance gradient is function of a few load cases at each element, reducing the processing time without significant weight penalty. The efficiency of the proposed technique is exemplified and compared to the one of a classical approach of multiple load case problem, solved using optimality criteria.
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Books on the topic "Topology (Applied)"

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David, Franzosa Robert, ed. Introduction to topology: Pure and applied. Upper Saddle River, NJ: Pearson Prentice Hall, 2008.

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Zomorodian, Afra, ed. Advances in Applied and Computational Topology. Providence, Rhode Island: American Mathematical Society, 2012. http://dx.doi.org/10.1090/psapm/070.

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Olivier, Pironneau, ed. Applied shape optimization for fluids. 2nd ed. Oxford: Oxford University Press, 2010.

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Schenck, Hal. Algebraic Foundations for Applied Topology and Data Analysis. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-06664-1.

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Mohammadi, B. Applied shape optimization for fluids. 2nd ed. Oxford: Oxford University Press, 2010.

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Kronheimer, P. B. Monopoles and three-manifolds. Cambridge: Cambridge University Press, 2007.

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Kronheimer, P. B. Monopoles and three-manifolds. Cambridge: Cambridge University Press, 2007.

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1974-, Zomorodian Afra J., ed. Advances in applied and computational topology: American Mathematical Society Short Course on Computational Topology, January 4-5, 2011, New Orleans, Louisiana. Providence, R.I: American Mathematical Society, 2012.

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Ausoni, Christian, 1968- editor of compilation, Hess, Kathryn, 1967- editor of compilation, Johnson Brenda 1963-, Lück, Wolfgang, 1957- editor of compilation, and Scherer, Jérôme, 1969- editor of compilation, eds. An Alpine expedition through algebraic topology: Fourth Arolla Conference, algebraic topology, August 20-25, 2012, Arolla, Switzerland. Providence, Rhode Island: American Mathematical Society, 2014.

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Marian, Gidea, ed. Differential geometry and topology: With a view to dynamical systems. Boca Raton: CRC Press, 2005.

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Book chapters on the topic "Topology (Applied)"

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Mezey, Paul G. "Reaction Topology." In Applied Quantum Chemistry, 53–74. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4746-7_5.

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Wang, X. S., and X. R. Wang. "Topology in Magnetism." In Topics in Applied Physics, 357–403. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-62844-4_14.

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Gavranovic, Stefan, Dirk Hartmann, and Utz Wever. "Topology Optimization Using GPGPU." In Computational Methods in Applied Sciences, 553–66. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-89988-6_33.

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von Alfthan, Sebastian, Ilja Honkonen, and Minna Palmroth. "Topology Aware Process Mapping." In Applied Parallel and Scientific Computing, 297–308. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36803-5_21.

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Csizmadia, I. G., and J. G. Angyan. "Molecular Conformation and Potential Energy Surface Topology." In Applied Quantum Chemistry, 75–83. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4746-7_6.

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Forterre, Patrick, Daniele Gadelle, Franck Charbonnier, and Mouldy Sioud. "DNA Topology in Halobacteria." In General and Applied Aspects of Halophilic Microorganisms, 333–38. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-3730-4_40.

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Ahmad, Rafaque, and Hari K. Voruganti. "Structural Topology Optimization: Methods and Applications." In Advances in Applied Mechanical Engineering, 643–54. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1201-8_71.

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Hamidoune, Y. O. "Additive Group Theory Applied to Network Topology." In Combinatorial Network Theory, 1–39. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4757-2491-2_1.

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Steenbrink, Joseph. "Mixed Hodge Structures Applied to Singularities." In Handbook of Geometry and Topology of Singularities III, 645–78. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-95760-5_9.

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Schenck, Hal. "Basics of Topology: Spaces and Sheaves." In Algebraic Foundations for Applied Topology and Data Analysis, 43–61. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-06664-1_3.

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Conference papers on the topic "Topology (Applied)"

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Dagci, Fikriye Ince, and Huseyin Cakalli. "A new topology via a topology." In 10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0115543.

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Sullivan, Dennis. "Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs." In Algebraic Topology - Old and New. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc85-0-20.

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Stein, Michael, Alexander Frömmgen, Roland Kluge, Lin Wang, Augustin Wilberg, Boris Koldehofe, and Max Mühlhäuser. "Scaling topology pattern matching." In SAC 2018: Symposium on Applied Computing. New York, NY, USA: ACM, 2018. http://dx.doi.org/10.1145/3167132.3167241.

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Çeken, Seçil, Mustafa Alkan, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Dual of Zariski Topology for Modules." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637758.

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Leiva, Juan, Brian Watson, and Iku Kosaka. "Modern structural optimization concepts applied to topology optimization." In 40th Structures, Structural Dynamics, and Materials Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1999. http://dx.doi.org/10.2514/6.1999-1388.

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SENGUPTA, AMBAR N. "A functional integral applied to topology and algebra." In XIVth International Congress on Mathematical Physics. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812704016_0053.

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Gamble, Jennifer, Harish Chintakunta, and Hamid Krim. "Applied topology in static and dynamic sensor networks." In 2012 International Conference on Signal Processing and Communications (SPCOM). IEEE, 2012. http://dx.doi.org/10.1109/spcom.2012.6290237.

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Yang, Wen-Wen, I.-Jen Chiang, Ruey-Ling Yeh, and Hsiang-Chun Tsai. "Combinatorial Topology-based Semantic Clustering Applied to PubMed." In Second International Conference on Innovative Computing, Informatio and Control (ICICIC 2007). IEEE, 2007. http://dx.doi.org/10.1109/icicic.2007.217.

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Montibeler, Pedro, Fernando Farias, and Antônio Abélem. "Topology resilience enhancement for software defined networks." In SAC 2018: Symposium on Applied Computing. New York, NY, USA: ACM, 2018. http://dx.doi.org/10.1145/3167132.3167406.

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Chakraborty, Sandip, Suchetana Chakraborty, Sushanta Karmakar, and Hridoy Sankar Dutta. "Hierarchical topology adaptation for distributed convergecast applications." In SAC 2014: Symposium on Applied Computing. New York, NY, USA: ACM, 2014. http://dx.doi.org/10.1145/2554850.2555080.

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Reports on the topic "Topology (Applied)"

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Payment Systems Report - June of 2020. Banco de la República de Colombia, February 2021. http://dx.doi.org/10.32468/rept-sist-pag.eng.2020.

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Abstract:
With its annual Payment Systems Report, Banco de la República offers a complete overview of the infrastructure of Colombia’s financial market. Each edition of the report has four objectives: 1) to publicize a consolidated account of how the figures for payment infrastructures have evolved with respect to both financial assets and goods and services; 2) to summarize the issues that are being debated internationally and are of interest to the industry that provides payment clearing and settlement services; 3) to offer the public an explanation of the ideas and concepts behind retail-value payment processes and the trends in retail payments within the circuit of individuals and companies; and 4) to familiarize the public, the industry, and all other financial authorities with the methodological progress that has been achieved through applied research to analyze the stability of payment systems. This edition introduces changes that have been made in the structure of the report, which are intended to make it easier and more enjoyable to read. The initial sections in this edition, which is the eleventh, contain an analysis of the statistics on the evolution and performance of financial market infrastructures. These are understood as multilateral systems wherein the participating entities clear, settle and register payments, securities, derivatives and other financial assets. The large-value payment system (CUD) saw less momentum in 2019 than it did the year before, mainly because of a decline in the amount of secondary market operations for government bonds, both in cash and sell/buy-backs, which was offset by an increase in operations with collective investment funds (CIFs) and Banco de la República’s operations to increase the money supply (repos). Consequently, the Central Securities Depository (DCV) registered less activity, due to fewer negotiations on the secondary market for public debt. This trend was also observed in the private debt market, as evidenced by the decline in the average amounts cleared and settled through the Central Securities Depository of Colombia (Deceval) and in the value of operations with financial derivatives cleared and settled through the Central Counterparty of Colombia (CRCC). Section three offers a comprehensive look at the market for retail-value payments; that is, transactions made by individuals and companies. During 2019, electronic transfers increased, and payments made with debit and credit cards continued to trend upward. In contrast, payments by check continued to decline, although the average daily value was almost four times the value of debit and credit card purchases. The same section contains the results of the fourth survey on how the use of retail-value payment instruments (for usual payments) is perceived. Conducted at the end of 2019, the main purpose of the survey was to identify the availability of these payment instruments, the public’s preferences for them, and their acceptance by merchants. It is worth noting that cash continues to be the instrument most used by the population for usual monthly payments (88.1% with respect to the number of payments and 87.4% in value). However, its use in terms of value has declined, having registered 89.6% in the 2017 survey. In turn, the level of acceptance by merchants of payment instruments other than cash is 14.1% for debit cards, 13.4% for credit cards, 8.2% for electronic transfers of funds and 1.8% for checks. The main reason for the use of cash is the absence of point-of-sale terminals at commercial establishments. Considering that the retail-payment market worldwide is influenced by constant innovation in payment services, by the modernization of clearing and settlement systems, and by the efforts of regulators to redefine the payment industry for the future, these trends are addressed in the fourth section of the report. There is an account of how innovations in technology-based financial payment services have developed, and it shows that while this topic is not new, it has evolved, particularly in terms of origin and vocation. One of the boxes that accompanies the fourth section deals with certain payment aspects of open banking and international experience in that regard, which has given the customers of a financial entity sovereignty over their data, allowing them, under transparent and secure conditions, to authorize a third party, other than their financial entity, to request information on their accounts with financial entities, thus enabling the third party to offer various financial services or initiate payments. Innovation also has sparked interest among international organizations, central banks, and research groups concerning the creation of digital currencies. Accordingly, the last box deals with the recent international debate on issuance of central bank digital currencies. In terms of the methodological progress that has been made, it is important to underscore the work that has been done on the role of central counterparties (CCPs) in mitigating liquidity and counterparty risk. The fifth section of the report offers an explanation of a document in which the work of CCPs in financial markets is analyzed and corroborated through an exercise that was built around the Central Counterparty of Colombia (CRCC) in the Colombian market for non-delivery peso-dollar forward exchange transactions, using the methodology of network topology. The results provide empirical support for the different theoretical models developed to study the effect of CCPs on financial markets. Finally, the results of research using artificial intelligence with information from the large-value payment system are presented. Based on the payments made among financial institutions in the large-value payment system, a methodology is used to compare different payment networks, as well as to determine which ones can be considered abnormal. The methodology shows signs that indicate when a network moves away from its historical trend, so it can be studied and monitored. A methodology similar to the one applied to classify images is used to make this comparison, the idea being to extract the main characteristics of the networks and use them as a parameter for comparison. Juan José Echavarría Governor
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