Download or read book L ECOULEMENT NON STATIONNAIRE AUTOUR D UN OBSTACLE PAR ELEMENTS FINIS SPATIAUX ET PAS FRACTIONNAIRES EN TEMPS written by AHMED.. BEHAJ and published by . This book was released on 1981 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: MISE AU POINT D'UNE METHODE DE CALCUL PAR ELEMENTS FINIS DU PROBLEME INSTATIONNAIRE DE L'ECOULEMENT AUTOUR D'UN OBSTACLE CYLINDRIQUE AVEC RECIRCULATION MAIS A DE FAIBLES NOMBRES DE REYNOLDS. ON DONNE D'ABORD UNE PRESENTATION SUCCINTE ET PRATIQUE DE LA METHODE DES ELEMENTS FINIS. ON ENVISAGE DEUX TECHNIQUES DIFFERENTES; DANS LA TECHNIQUE RETENUE LE SYSTEME EST CONSTRUIT EN CONSIDERANT CHACUN DES ELEMENTS DE LA DISCRETISATION INDEPENDEMMENT DES AUTRES: LES COMPOSANTS DU SYSTEME A RESOUDRE SONT ETABLIS LOCALEMENT, AVANT D'ETRE "ASSEMBLES" POUR CONSTITUER LE SYSTEME GLOBAL. PREDICTION SUR LA STABILITE NUMERIQUE DU SCHEMA. GENERALITES SUR LES RESULTATS NUMERIQUES OBTENUS

Download or read book Approche variationnelle du potentiel de vitesses d un coulement autour d un obstacle tridimensionnel convexe written by Jean-Pierre Brancher and published by . This book was released on 1974 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Le travail présenté dans ce mémoire a pour but de traiter un problème classique de potentiel, mais en se plaçant dans un espace fonctionnel plus large que ceux utilisés habituellement. Cette étude présente l'intérêt d'aborder des problèmes plus généraux, dont la formulation s'adapte correctement à des méthodes numériques puissantes. Elle permet aussi de traduire directement les propriétés déduites de considérations énergétiques. Le problème qui nous préoccupe est celui du calcul de l'écoulement tridimensionnel à potentiel de vitesse d'un fluide incompressible autour d'un obstacle convexe. Nous nous intéressons à la perturbation due à l'obstacle lors d'un mouvement de translation. Il faut remarquer cependant que l'étude s'applique aussi pour les corps en rotation. L'essentiel de nos recherches va porter sur la résolution d'un problème de Newmann exétieur. Dans le chapitre II, on cherche un espace fonctionnel "d'énergie finie" dans lequel sera située la solution unique (définie presque partant) sur un ouvert non borné. Ce type d'espace a été envisagé par Beppo Levie (qui lui a donné son nom), mais a été étudié longuement par Nicodym, dans un cadre fonctionnel plus large que celui proposé par Levi. Les résultats principaux obtenus dans cette première partie concernent l'existence et l'unicité de la solution et une "certaine irrégularité" de sa trace sur la frontière de l'obstacle. Ce dernier point est intéressant car il constitue le point de départ dans la résolution des équations de couche limite. On montre aussi dans ce chapitre, que l'on peut définir la solution exacte comme limite (dans un sens à préciser) d'une suite de solution de problèmes du même type mais définis sur des ouverts bornés. Enfin, nous étudions une formulation variationnelle du problème posé par l'utilisation de la méthode des singularités. C'est une méthode importante qui puise sa force dans sa généralité. Elle permet d'aborder des résolutions d'écoulements de fluides réels, par un schéma de mouvement à potentiel de vitesses. Des études numériques ont été faites surtout par Hess et Smith, d'abord pour des corps non portants (c'est le cas que nous étudions) puis pour des corps portants. Ce dernier point sort de nos préoccupations actuelles. Dans le cas des corps non portants, il faut résoudre une équation de Fredholm à laquelle statisfait la densité de la distribution de simple couche définie sur la frontière (gamma) de l'obstacle. Cette résolution se ramène à un problème variationnel équivalent au problème intialement posé. On recherche la densité dans H−1/2([gamma]). Dans le chapitre III, on définit un problème approché qui permet d'approximer la solution sur un ouvert borné. Une des principales difficultés vient du fait que les démonstrations habituelles tombent en défaut car la solution n'est pas en général, deux fois continuement dérivable. Le problème ainsi traité permet de s'affanchir de certaines conditions sur les traces de la solution sur la frontière. Il suffit que la dérivée normale sur la frontière [gamme] de l'obstacle soit dans H−1/2([gamma]). Enfin cette étude que nous appellerons "étude directe" nous amène en général à discrétiser l'équation de Laplace après un passage en coordonnées curvilignes orthogonales. Le domaine est ainsi ramené à une forme simple et de plus, nous pouvons exploiter les symétries éventuelles. Nous sommes ainsi conduit à introduire des espaces de Sobolev avec poids. L'étude de l'approximation de ces espaces permettrait d'obtenir des schémas de haute précision pour la résolution de l'équation elliptique dégénérée obtenue. Nous abordons enfin la résolution effective de quelques écoulements à potentiel de vitesses, possèdant une symétrie de révolution. La discrétisation se fait suivant un schéma explicite de l'équation d'évolution associée à l'équation stationnaire. On traite le cas de l'écoulement autour de la sphère avec et sans soufflage, puis de l'ellispsoïde de révolution."

Download or read book Handbook of Nonlinear Partial Differential Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2004-06-02 with total page 835 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook:

Download or read book Introduction to Nonsmooth Optimization written by Adil Bagirov and published by Springer. This book was released on 2014-08-12 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics and computational chemistry and physics. The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. It is organized into three parts: 1. convex and nonconvex analysis and the theory of NSO; 2. test problems and practical applications; 3. a guide to NSO software. The book is ideal for anyone teaching or attending NSO courses. As an accessible introduction to the field, it is also well suited as an independent learning guide for practitioners already familiar with the basics of optimization.

Download or read book Mathematics of the Decision Sciences written by George Bernard Dantzig and published by American Mathematical Soc.. This book was released on 1968-12-31 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonsmooth Optimization written by Claude Lemarechal and published by Elsevier. This book was released on 2014-05-19 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonsmooth Optimization contains the proceedings of a workshop on non-smooth optimization (NSO) held from March 28 to April 8,1977 in Austria under the auspices of the International Institute for Applied Systems Analysis. The papers explore the techniques and theory of NSO and cover topics ranging from systems of inequalities to smooth approximation of non-smooth functions, as well as quadratic programming and line searches. Comprised of nine chapters, this volume begins with a survey of Soviet research on subgradient optimization carried out since 1962, followed by a discussion on rates of convergence in subgradient optimization. The reader is then introduced to the method of subgradient optimization in an abstract setting and the minimal hypotheses required to ensure convergence; NSO and nonlinear programming; and bundle methods in NSO. A feasible descent algorithm for linearly constrained least squares problems is described. The book also considers sufficient minimization of piecewise-linear univariate functions before concluding with a description of the method of parametric decomposition in mathematical programming. This monograph will be of interest to mathematicians and mathematics students.

Download or read book Fixed Point Theorems with Applications to Economics and Game Theory written by Kim C. Border and published by Cambridge University Press. This book was released on 1985 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.

Download or read book Incompressible Computational Fluid Dynamics written by Max D. Gunzburger and published by Cambridge University Press. This book was released on 2009-01-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incompressible computational fluid dynamics is an emerging and important discipline, with numerous applications in industry and science. Its methods employ rigourous mathematical analysis far beyond what is presently possible for compressible flows. Vortex methods, finite elements, and spectral methods are emphasised. Contributions from leading experts in the various sub-fields portray the wide-ranging nature of the subject. The book provides an entrée into the current research in the field. It can also serve as a source book for researchers and others who require information on methods and techniques.

Download or read book Generalized Feynman Amplitudes AM 62 Volume 62 written by Eugene R. Speer and published by Princeton University Press. This book was released on 2016-03-02 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a valuable discussion of renormalization through the addition of counterterms to the Lagrangian, giving the first complete proof of the cancellation of all divergences in an arbitrary interaction. The author also introduces a new method of renormalizing an arbitrary Feynman amplitude, a method that is simpler than previous approaches and can be used to study the renormalized perturbation series in quantum field theory.

Download or read book Fixed Point Theory in Modular Function Spaces written by Mohamed A. Khamsi and published by Birkhäuser. This book was released on 2015-03-24 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces. Modular function spaces are natural generalizations of both function and sequence variants of many important spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii spaces, and others. In most cases, particularly in applications to integral operators, approximation and fixed point results, modular type conditions are much more natural and can be more easily verified than their metric or norm counterparts. There are also important results that can be proved only using the apparatus of modular function spaces. The material is presented in a systematic and rigorous manner that allows readers to grasp the key ideas and to gain a working knowledge of the theory. Despite the fact that the work is largely self-contained, extensive bibliographic references are included, and open problems and further development directions are suggested when applicable. The monograph is targeted mainly at the mathematical research community but it is also accessible to graduate students interested in functional analysis and its applications. It could also serve as a text for an advanced course in fixed point theory of mappings acting in modular function spaces.​

Download or read book Theory and Applications of Partial Functional Differential Equations written by Jianhong Wu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.

Download or read book Relativistic Hydrodynamics and Magnetohydrodynamics written by André Lichnerowicz and published by . This book was released on 1967 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Global Solutions of Reaction Diffusion Systems written by Franz Rothe and published by Springer. This book was released on 2006-12-08 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Water Flow and Solute Transport in Soils written by David Russo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: A year has passed since Eshel Bresler, my good friend and colleague, and a member of the editorial board of the Advanced Series in Agricultural Sciences, died suddenly while on a visit to the Chinese Academy of Sciences in Beijing. We had worked together for almost 30 years at the Institute of Soils and Water, ARO, The Volcani Center at Bet Dagan. At the very beginning of our scientific careers we cooperated directly and as a result one of our first publications was coauthored (Soil Sci. 101:205-209, 1966). Thereafter, our specific research interests diver sified, but we continued to work together, with similar approaches to research, and to strive towards the development of Israel soil science and its integration into general worldwide scientific progress. I don't need to emphasize Eshel's contribution to the understan ding of the processes governing water flow and solute transport pro cesses in soils and unsaturated zones. The contributions to this Volume by such a body of outstanding scientists shows the apprecia tion of the international scientific community to his research achievements.

Download or read book Almost periodic Functions in Abstract Spaces written by Samuel Zaidman and published by Pitman Advanced Publishing Program. This book was released on 1985 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research not presents recent results in the field of almost-periodicity. The emphasis is on the study of vector-valued almost-periodic functions and related classes, such as asymptotically almost-periodic or almost-automorphic functions. Many examples are given, and applications are indicated. The first three chapters form a self-contained introduction to the study of continuity, derivability and integration in locally convex or Banach spaces. The remainder of the book is devoted to almost-periodicity and related topics. The functions are defined on IR, IR[superscript n] or an abstract group; the range is a Banach or a Hilbert space. Although treatment of the material related to pure mathematics, the theory has many applications in the area of abstract differential equations.

Download or read book Soil Water Solute Process Characterization written by Javier Alvarez-Benedi and published by CRC Press. This book was released on 2019-09-23 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: The practitioner or researcher often faces complex alternatives when selecting a method to characterize properties governing a soil process. After years of research and development, environmental and agricultural professionals now have an array of methods for characterizing soil processes. Well-established methods, however, may not be suitable for the specific conditions of a study since many soil characteristics are intrinsically variable. An objective, integrated approach for soil characterization is needed to more effectively quantify parameters. Soil-Water-Solute Process Characterization goes beyond technical guidance and addresses the complicating factors such as spatial and temporal variability of soil processes, scale issues, soil structure, and the trade-offs between methods. It focuses on advanced methods for the monitoring and modeling of mass transfer processes in soil. Expert contributors present limitations to well-known methods and alternatives, discussing their practical applications for characterization efforts, evaluating strengths and weaknesses, and focusing on a reduced set of selected techniques. Three in-depth sections cover everything from multidisciplinary approaches for assessing subsurface non-point source pollution to techniques for characterizing water and energy balances at the soil-plant-atmosphere interface, field methods for monitoring soil water status, and computer models for characterizing the effect of chemicals in soil. This single-source reference is transforming method selection and our understanding of the principles, advantages, and limitations of the available monitoring techniques. Written in a simple and straightforward manner, Soil-Water-Solute Process Characterization is a detailed cookbook and a useful, practical reference for students, practitioners, and researchers.

Download or read book Exact and Approximate Controllability for Distributed Parameter Systems written by Roland Glowinski and published by . This book was released on 2008-03-20 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough mathematical analysis of controllability problems with a detailed investigation of methods for solving them numerically.