Download or read book Approximation d une quation diffusion transport par des m thodes d l ments finis espace temps written by François Forges and published by . This book was released on 1980 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Résolution numérique d'une équation diffusion-transport modélisant le déplacement d'un fluide par un autre dans un milieu poreux. Approximation par une méthode d'éléments finis espace-temps. Résultats numériques. Etude du cas linéaire. Conditions de stabilité. Etude numérique d'un problème d'homogénéisation non périodique

Download or read book Une m thode de d composition de domaine pour la r solution num rique d une quation non lin aire written by Nahed Naceur and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cette thèse porte sur l'analyse théorique et la résolution numérique d'un type d'équations semi-linéaires elliptiques et paraboliques. Ces équations sont souvent utilisées pour modéliser des phénomènes dans la dynamique de la population et les réactions chimiques. On a commencé cette thèse par l'étude théorique d'une équation elliptique semi-linéaire dont on a démontré l'existence d'une solution faible non négative sous des hypothèses plus générale que celles considérées dans des précédents travaux. Puis on a présenté une nouvelle méthode basée sur la méthode de Newton et la méthode de décomposition de domaine sans et avec recouvrement. Ensuite, on a rappelé quelques aspects théoriques concernant l'existence, l'unicité ainsi que la régularité de la solution d'une équation parabolique appelée équation de type Fujita. On a rappelé aussi des résultats sur l'existence de la solution globale et sur le temps maximal d'existence dans le cas d'explosion. Afin de calculer une approximation numérique de la solution de ce type d'équation, on a introduit une discrétisation en éléments finis dans la variable en espace et un schéma de Crank-Nicholson pour la discrétisation en temps. Pour résoudre le problème non linéaire discret on a implémenté une méthode de Newton couplée avec une méthode de décomposition de domaine. On a démontré que la méthode est bien posée. On a également traité un autre type d'équation parabolique dit équation de Chipot-Weissler. En premier, on a rappelé des résultats théoriques concernant cette équation. Puis, en se basant sur les méthodes numériques étudiées précédemment on a calculé une approximation numérique de la solution de cette équation. Dans la dernière section de chaque chapitre de cette thèse on a présenté des simulations numériques illustrant les performances des algorithmes étudiés et la cohérence des résultats avec la théorie.

Download or read book Augmented Lagrangian and Operator splitting Methods in Nonlinear Mechanics written by Ronald Glowinski and published by SIAM. This book was released on 1989-01-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A need for a deeper understanding of the convergence properties of augmented Lagrangian algorithms and of their relationship to operator-splitting methods such as alternating-methods direction and the development of more efficient algorithms prompted the authors to write this book. The volume is oriented to applications in continuum mechanics. This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods (coupled to finite-element approximations). It begins with a description of the mechanical and mathematical frameworks of the considered applications as well as a general analysis of the basic numerical methods additionally used to study them. These ideas are then applied to specific classes of mechanical problems.

Download or read book tude th orique de m thodes num riques our les syst mes de r action diffusion written by Magali Ribot and published by . This book was released on 2003 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: On s'intéresse dans cette th`ese `a l'étude de méthodes numériques pour les syst`emes de réaction-diffusion. Tout d'abord, on étudie le schéma par régularisation du résidu et ses extrapolations ; ce schéma introduit un préconditionneur en espace lors de la discrétisation en temps. On prouve la stabilité en norme usuelle et la convergence en norme d'énergie de cette méthode et on l'applique au préconditionnement de méthodes spectrales par des méthodes d'éléments finis. Cette application nécessite le calcul d'asymptotiques précises des polyn˜omes de Legendre et de leurs extrema. On prouve aussi la convergence et l'ordre deux d'une méthode de splitting semi-discrétisée en temps pour les syst`emes de réaction-diffusion, l'approximation de Peaceman-Rachford. Enfin, on applique ces méthodes `a la simulation d'une équation parabolique non linéaire pour modéliser la croissance de grains et `a une équation parabolique non locale venant de la mécanique statistique et modélisant les syst`emes autogravitants de fermions.

Download or read book 1 SUR LES FORMULATIONS VITESSE VORTICITE DES EQUATIONS DE NAVIER STOKES EN DIMENSION DEUX 2 IMPLEMENTATION DES INCONNUS INCREMENTALES OSCILLANTES POUR LES EQUATIONS DE NAVIER STOKES ET DE REACTION DIFFUSION written by THEODORE.. TACHIM MEDJO and published by . This book was released on 1995 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: CE TRAVAIL SE COMPOSE DE DEUX PARTIES. LA PREMIERE PORTE SUR LES EQUATIONS DE NAVIER-STOKES EN DIMENSION DEUX ET EN VARIABLES VITESSE-VORTICITE, ET LA SECONDE SUR LA RESOLUTION NUMERIQUE DES EQUATIONS DE NAVIER-STOKES ET DE REACTION-DIFFUSION PAR LA METHODE DE GALERKIN NON LINEAIRE. DANS LA PREMIERE PARTIE, (CHAPITRE UN ET DEUX) NOUS PROPOSONS DES FORMULATIONS VARIATIONNELLES DES EQUATIONS DE NAVIER-STOKES EN VARIABLES VITESSE-VORTICITE EN DIMENSION DEUX. NOUS MONTRONS L'EXISTENCE ET L'UNICITE DE LA SOLUTION DU PROBLEME VARIATIONNEL, PUIS NOUS MONTRONS QUE CETTE FORMULATION EST EQUIVALENTE AUX EQUATIONS DE NAVIER-STOKES. DANS LA DEUXIEME PARTIE DE CETTE THESE, NOUS ABORDONS QUELQUES ASPECTS DE L'APPROXIMATION POUR LES GRANDS TEMPS DES EQUATIONS AUX DERIVEES PARTIELLES DISSIPATIVES, QUI EST UN PROBLEME TRES IMPORTANT DANS L'ETUDE DES ECOULEMENTS DES FLUIDES. POUR CELA NOUS UTILISONS DES METHODES DITES DE GALERKIN NON LINEAIRE INTRODUITE PAR M. MARION ET R. TEMAM. LE CHAPITRE TROIS EST CONSACRE A LA CONSTRUCTION DES BASES HIERARCHIQUES DES VARIABLES INCREMENTALES OSCILLANTES DANS LE BUT D'IMPLEMENTER LA METHODE DE GALERKIN NON LINEAIRE DANS LE CADRE DES DIFFERENCES FINIES. CE TRAVAIL EST UNE GENERALISATION D'UNE ETUDE INITIALEMENT FAITE PAR M. CHIEN ET R. TEMAM. NOUS UTILISONS ENSUITE CETTE BASE POUR RESOUDRE NUMERIQUEMENT PAR LA METHODE DE GALERKIN NON LINEAIRE LES EQUATIONS DE NAVIER-STOKES (CHAPITRE QUATRE) ET DE REACTION-DIFFUSION (CHAPITRE CINQ)

Download or read book R solution num rique et identification pour une equation quasi parabolique non lin aire d n n r e de diffusion et transport en dimension un written by Gary Cohen and published by . This book was released on 1978 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Solution of Time Dependent Advection Diffusion Reaction Equations written by Willem Hundsdorfer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique book on Reaction-Advection-Diffusion problems

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1989 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Theory of Splines and Their Applications written by J. H. Ahlberg and published by Elsevier. This book was released on 2016-06-03 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines. The book explains the equations of the spline, procedures for applications of the spline, convergence properties, equal-interval splines, and special formulas for numerical differentiation or integration. The text explores the intrinsic properties of cubic splines including the Hilbert space interpretation, transformations defined by a mesh, and some connections with space technology concerning the payload of a rocket. The book also discusses the theory of polynomial splines of odd degree which can be approached through algebraically (which depends primarily on the examination in detail of the linear system of equations defining the spline). The theory can also be approached intrinsically (which exploits the consequences of basic integral relations existing between functions and approximating spline functions). The text also considers the second integral relation, raising the order of convergence, and the limits on the order of convergence. The book will prove useful for mathematicians, physicist, engineers, or academicians in the field of technology and applied mathematics.

Download or read book The Porous Medium Equation written by Juan Luis Vazquez and published by Clarendon Press. This book was released on 2006-10-26 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood. In this monograph, aimed at research students and academics in mathematics and engineering, as well as engineering specialists, Professor Vazquez provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, and other fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises for the reader.

Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1984 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book La Recherche A rospatiale written by and published by . This book was released on 1992 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Energy Research Abstracts written by and published by . This book was released on 1985 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book INIS Atomindeks written by and published by . This book was released on 1988 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Modeling and Computational Methods for Kinetic Equations written by Pierre Degond and published by Springer Science & Business Media. This book was released on 2004-04-07 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. New applications in traffic flow engineering, granular media modeling, and polymer and phase transition physics have resulted in new numerical algorithms which depart from traditional stochastic Monte--Carlo methods. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused theoretical or applied works. The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. Additionally, widely used numerical methods for the discretization of the Boltzmann equation are reviewed: the Monte--Carlo method, spectral methods, and finite-difference methods. Part II considers specific applications: plasma kinetic modeling using the Landau--Fokker--Planck equations, traffic flow modeling, granular media modeling, quantum kinetic modeling, and coagulation-fragmentation problems. Modeling and Computational Methods of Kinetic Equations will be accessible to readers working in different communities where kinetic theory is important: graduate students, researchers and practitioners in mathematical physics, applied mathematics, and various branches of engineering. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.

Download or read book Current Programs written by and published by . This book was released on 1977 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Conference Papers Index written by and published by . This book was released on 1979 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monthly. Papers presented at recent meeting held all over the world by scientific, technical, engineering and medical groups. Sources are meeting programs and abstract publications, as well as questionnaires. Arranged under 17 subject sections, 7 of direct interest to the life scientist. Full programs of meetings listed under sections. Entry gives citation number, paper title, name, mailing address, and any ordering number assigned. Quarterly and annual indexes to subjects, authors, and programs (not available in monthly issues).