Calcul parallele et decomposition dans la resolution d'equations aux derivees partielles de type elleptique

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Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (258 download)

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Book Synopsis Calcul parallele et decomposition dans la resolution d'equations aux derivees partielles de type elleptique by : P. Morice

Download or read book Calcul parallele et decomposition dans la resolution d'equations aux derivees partielles de type elleptique written by P. Morice and published by . This book was released on 1972 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solution of Partial Differential Equations on Vector and Parallel Computers

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Publisher : SIAM
ISBN 13 : 9781611971774
Total Pages : 100 pages
Book Rating : 4.9/5 (717 download)

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Book Synopsis Solution of Partial Differential Equations on Vector and Parallel Computers by : James M. Ortega

Download or read book Solution of Partial Differential Equations on Vector and Parallel Computers written by James M. Ortega and published by SIAM. This book was released on 1985-01-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews, in the context of partial differential equations, algorithm development that has been specifically aimed at computers that exhibit some form of parallelism. Emphasis is on the solution of PDEs because these are typically the problems that generate high computational demands. The authors discuss architectural features of these computers insomuch as they influence algorithm performance, and provide insight into algorithm characteristics that allow effective use of hardware.

Etude de préconditionnements parallèles pour la résolution d'équations aux dérivées partielles elliptiques

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Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (49 download)

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Book Synopsis Etude de préconditionnements parallèles pour la résolution d'équations aux dérivées partielles elliptiques by : Patrick Ciarlet

Download or read book Etude de préconditionnements parallèles pour la résolution d'équations aux dérivées partielles elliptiques written by Patrick Ciarlet and published by . This book was released on 1992 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dans la première partie de la thèse, nous étudions numériquement et théoriquement quelques préconditionnements parallèles pour la résolution d'équations aux dérivées partielles elliptiques en deux dimensions. Nous montrons que ces méthodes sont efficaces sur une machine d'architecture parallèle possédant quelques dizaines de processeurs. Dans la seconde partie de cette thèse, nous démontrons l'existence d'une décomposition de l'espace des fonctions de carré intégrable l#2(Oméga)#3 dans le cas où le domaine tridimensionnel est connexe ou réunion finie de composantes connexes. Nous appliquons ensuite ce résultat aux équations de la magnétostatique.

Numerical Algorithms for Parallel and Vector Computers: An Annotated Bibliography

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Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Numerical Algorithms for Parallel and Vector Computers: An Annotated Bibliography by :

Download or read book Numerical Algorithms for Parallel and Vector Computers: An Annotated Bibliography written by and published by . This book was released on 1974 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conjugate Direction Methods and Parallel Computing

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Publisher :
ISBN 13 :
Total Pages : 246 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Conjugate Direction Methods and Parallel Computing by : John Franklin Palmer

Download or read book Conjugate Direction Methods and Parallel Computing written by John Franklin Palmer and published by . This book was released on 1974 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Finite Element Analysis in Structural Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642815898
Total Pages : 782 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Nonlinear Finite Element Analysis in Structural Mechanics by : W. Wunderlich

Download or read book Nonlinear Finite Element Analysis in Structural Mechanics written by W. Wunderlich and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the rap1d development of computational capab1lities, nonl1near f1nite element analys1s 1n structural mechan1CS has become an 1mportant field of research. Its objective is the real1stic assessment of the actual behaV10r of structures by numerical methods. Th1S requires that all nonlinear effects, such as the nonl1near character1stics of the mater1al and large deformations be taken 1nto account. The act1vities in th1S f1eld be1ng worldw1de, d1rect 1nteraction between the various research groups 1S necessary to coordinate future research and to overcome the time gap between the generat10n of new results and the1r appearance 1n the 11terature. The f1rst U.S.-Germany Sympos1um was held 1n 1976 at the Massachusetts Inst1tute of Technology. Under the general to P1C "Formulat1ons and Computat1onal Algorithms in Fin1te Ele ment Analysis" 1t prov1ded an opportun1ty for about 20 re searchers from each country to present lectures, hold discus sions, and establ1sh mutual contacts. The success of th1S first sympos1um was so encourag1ng that 1t seemed natural to organ- 1ze a second bilateral meet1ng, this time 1n Germany, and to 1nv1te researchers from other European countr1es as well

Méthodes Numériques Dans Les Sciences de L'ingénieur

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Publisher :
ISBN 13 :
Total Pages : 1146 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis Méthodes Numériques Dans Les Sciences de L'ingénieur by : Élie Absi

Download or read book Méthodes Numériques Dans Les Sciences de L'ingénieur written by Élie Absi and published by . This book was released on 1980 with total page 1146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Elements in Fluids

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Finite Elements in Fluids by : Richard H. Gallagher

Download or read book Finite Elements in Fluids written by Richard H. Gallagher and published by John Wiley & Sons. This book was released on 1984 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

RESOLUTION INTRINSEQUEMENT PARALLELE DES SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES LINEAIRES

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Publisher :
ISBN 13 :
Total Pages : 65 pages
Book Rating : 4.:/5 (49 download)

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Book Synopsis RESOLUTION INTRINSEQUEMENT PARALLELE DES SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES LINEAIRES by : CECILE.. BECARIE

Download or read book RESOLUTION INTRINSEQUEMENT PARALLELE DES SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES LINEAIRES written by CECILE.. BECARIE and published by . This book was released on 1997 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'ORIGINE DE CE TRAVAIL EST UN OUTIL MATHEMATIQUE PERMETTANT DE MANIPULER LES POLYNOMES EN PLUSIEURS VARIABLES. NOTAMMENT, L'EXPRESSION D'UNE NORME (LA NORME DE BOMBIERI) ET D'UN PRODUIT SCALAIRE SUR CES POLYNOMES ONT PERMIS DIVERSES APPLICATIONS DONT LA RESOLUTION DE SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES, DETAILLEE DANS CETTE THESE. UN TEL SYSTEME EST REECRIT UNIQUEMENT A L'AIDE DE POLYNOMES EN PLUSIEURS VARIABLES ET GRACE AU PRODUIT SCALAIRE INTRODUIT, LES DERIVATIONS SE TRANSPOSENT EN MULTIPLICATIONS, ET L'ON OBTIENT UN PROBLEME DE DUALITE DANS UN ESPACE HILBERTIEN. LA SOLUTION EST ALORS CHERCHEE SOUS FORME D'UN POLYNOME DANS CET ESPACE. LE SECOND INTERET DE CET OUTIL EST UNE NOUVELLE REPRESENTATION DES POLYNOMES EN PLUSIEURS VARIABLES QUI PERMET DE LES STRUCTURER ET DONC DE LES MANIPULER DE FACON EFFICACE SUR MACHINE PARALLELE. AINSI LA METHODE DE RESOLUTION DE SYSTEMES D'EQUATIONS AUX DERIVEES PARTIELLES A ETE PROGRAMMEE SUR UNE CONNECTION MACHINE CM5. L'ALGORITHME IMPLANTE UTILISE DONC LA NOTION DE PARALLELISME DES LA FORMULATION MATHEMATIQUE DU PROBLEME. UNE ETUDE DE LA STABILITE THEORIQUE ET NUMERIQUE DE LA METHODE AINSI QU'UN CALCUL DE COMPLEXITE ONT ETE EFFECTUES. L'ALGORITHME DE RESOLUTION A ETE ETENDU AUX EQUATIONS AUX DERIVEES PARTIELLES NON HOMOGENES, C'EST-A-DIRE AU CAS OU LE POLYNOME ASSOCIE A L'OPERATEUR DIFFERENTIEL N'EST PAS HOMOGENE. FINALEMENT, UN ALGORITHME DE DECOMPOSITION DE DOMAINE A ETE DEVELOPPE ; IL PERMET LA RESOLUTION DE SYSTEMES LORSQUE L'APPROXIMATION DES SECONDS MEMBRES NE PEUT ETRE REALISEE PAR UN UNIQUE POLYNOME SUR TOUT LE DOMAINE. LE DOMAINE DE RESOLUTION EST ALORS DIVISE EN SOUS-DOMAINES POUR LESQUELS ON DEFINIT DES SYSTEMES LOCAUX ET DES EQUATIONS DE CONTRAINTES AUX INTERFACES. DIFFERENTS EXEMPLES ILLUSTRENT LE TOUT

Implementation of Finite Element Methods for Navier-Stokes Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3642870473
Total Pages : 168 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Implementation of Finite Element Methods for Navier-Stokes Equations by : F. Thomasset

Download or read book Implementation of Finite Element Methods for Navier-Stokes Equations written by F. Thomasset and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: In structure mechanics analysis, finite element methods are now well estab lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients,l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by N avier Stokes equations.

Computing Methods in Applied Sciences and Engineering

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Publisher : North-Holland
ISBN 13 :
Total Pages : 694 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computing Methods in Applied Sciences and Engineering by : R. Glowinski

Download or read book Computing Methods in Applied Sciences and Engineering written by R. Glowinski and published by North-Holland. This book was released on 1982 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to the Mathematical Theory of Finite Elements

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Publisher : Courier Corporation
ISBN 13 : 0486142213
Total Pages : 450 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Introduction to the Mathematical Theory of Finite Elements by : J. T. Oden

Download or read book An Introduction to the Mathematical Theory of Finite Elements written by J. T. Oden and published by Courier Corporation. This book was released on 2012-05-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.

Introduction to Scientific Computing

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Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Introduction to Scientific Computing by : Brigitte Lucquin

Download or read book Introduction to Scientific Computing written by Brigitte Lucquin and published by . This book was released on 1998-06-11 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic scientific computing methods for the solution of partial differential equations (PDEs) as they occur in engineering problems. Programming codes in Fortran and C are included for each problem. Opening with the definition of the programming environment for the solving of PDE systems, it then addresses in detail the programming of the model problem by the finite element method. Efficiency, compact storage pre-conditioning and mesh adaption are also presented. General elliptic problems and evolution problems are then dealt with. Finally, topics related to other numerical methods, algorithms for parallel computing and multi processor computers are detailed. An integrated software package which illustrates the featured programs of PDEs is available on the Internet via anonymous FTP. The methods presented have applications in numerous fields of engineering including shape optimisation, nuclear safety, heat transfer, acoustics, mechanics of fluids and elasticity, and are also relevant to other areas such as pollution, meteorology, biology, etc.

The Numerical Solution of Nonlinear Problems

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Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (49 download)

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Book Synopsis The Numerical Solution of Nonlinear Problems by : Christopher T. H. Baker

Download or read book The Numerical Solution of Nonlinear Problems written by Christopher T. H. Baker and published by Oxford University Press, USA. This book was released on 1981 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integrable Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461203155
Total Pages : 368 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Integrable Systems by : V. Babelon

Download or read book Integrable Systems written by V. Babelon and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the International Conference on Integrable Systems in memory of J.-L. Verdier. It was held on July 1-5, 1991 at the Centre International de Recherches Mathematiques (C.I.R.M.) at Luminy, near Marseille (France). This collection of articles, covering many aspects of the theory of integrable Hamiltonian systems, both finite and infinite-dimensional, with an emphasis on the algebro-geometric meth ods, is published here as a tribute to Verdier who had planned this confer ence before his death in 1989 and whose active involvement with this topic brought integrable systems to the fore as a subject for active research in France. The death of Verdier and his wife on August 25, 1989, in a car accident near their country house, was a shock to all of us who were acquainted with them, and was very deeply felt in the mathematics community. We knew of no better way to honor Verdier's memory than to proceed with both the School on Integrable Systems at the C.I.M.P.A. (Centre International de Mathematiques Pures et Appliquees in Nice), and the Conference on the same theme that was to follow it, as he himself had planned them.

The Floer Memorial Volume

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Publisher : Birkhäuser
ISBN 13 : 3034892179
Total Pages : 688 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Floer Memorial Volume by : Helmut Hofer

Download or read book The Floer Memorial Volume written by Helmut Hofer and published by Birkhäuser. This book was released on 2012-12-06 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Andreas Floer died on May 15, 1991 an untimely and tragic death. His visions and far-reaching contributions have significantly influenced the developments of mathematics. His main interests centered on the fields of dynamical systems, symplectic geometry, Yang-Mills theory and low dimensional topology. Motivated by the global existence problem of periodic solutions for Hamiltonian systems and starting from ideas of Conley, Gromov and Witten, he developed his Floer homology, providing new, powerful methods which can be applied to problems inaccessible only a few years ago. This volume opens with a short biography and three hitherto unpublished papers of Andreas Floer. It then presents a collection of invited contributions, and survey articles as well as research papers on his fields of interest, bearing testimony of the high esteem and appreciation this brilliant mathematician enjoyed among his colleagues. Authors include: A. Floer, V.I. Arnold, M. Atiyah, M. Audin, D.M. Austin, S.M. Bates, P.J. Braam, M. Chaperon, R.L. Cohen, G. Dell' Antonio, S.K. Donaldson, B. D'Onofrio, I. Ekeland, Y. Eliashberg, K.D. Ernst, R. Finthushel, A.B. Givental, H. Hofer, J.D.S. Jones, I. McAllister, D. McDuff, Y.-G. Oh, L. Polterovich, D.A. Salamon, G.B. Segal, R. Stern, C.H. Taubes, C. Viterbo, A. Weinstein, E. Witten, E. Zehnder.

Singularities in Boundary Value Problems

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Publisher : Springer
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Singularities in Boundary Value Problems by : Pierre Grisvard

Download or read book Singularities in Boundary Value Problems written by Pierre Grisvard and published by Springer. This book was released on 1992 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: