Theory and Practice of Finite Elements PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Theory and Practice of Finite Elements PDF full book. Access full book title Theory and Practice of Finite Elements by Alexandre Ern. Download full books in PDF and EPUB format.
Author: Alexandre Ern
Publisher: Springer Science & Business Media
ISBN: 1475743556
Category : Mathematics
Languages : en
Pages : 531
Get Book Here
Book Description
This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises.
Author: Alexandre Ern
Publisher: Springer Science & Business Media
ISBN: 1475743556
Category : Mathematics
Languages : en
Pages : 531
Get Book Here
Book Description
This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises.
Author: Lars Hörmander
Publisher: Springer Science & Business Media
ISBN: 9783540629214
Category : Mathematics
Languages : en
Pages : 308
Get Book Here
Book Description
In this introductory textbook, a revised and extended version of well-known lectures by L. Hörmander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions. Two chapters concern the existence of global solutions or estimates of the lifespan for solutions of nonlinear perturbations of the wave or Klein-Gordon equation with small initial data. Four chapters are devoted to microanalysis of the singularities of the solutions. This part assumes some familiarity with pseudodifferential operators which are standard in the theory of linear differential operators, but the extension to the more exotic classes of opertors needed in the nonlinear theory is presented in complete detail.
Author: Habib Ammari
Publisher: Springer Science & Business Media
ISBN: 3540795537
Category : Medical
Languages : en
Pages : 198
Get Book Here
Book Description
Biomedical imaging is a fascinating research area to applied mathematicians. Challenging imaging problems arise and they often trigger the investigation of fundamental problems in various branches of mathematics. This is the first book to highlight the most recent mathematical developments in emerging biomedical imaging techniques. The main focus is on emerging multi-physics and multi-scales imaging approaches. For such promising techniques, it provides the basic mathematical concepts and tools for image reconstruction. Further improvements in these exciting imaging techniques require continued research in the mathematical sciences, a field that has contributed greatly to biomedical imaging and will continue to do so. The volume is suitable for a graduate-level course in applied mathematics and helps prepare the reader for a deeper understanding of research areas in biomedical imaging.
Author: Ugo Boscain
Publisher: Springer Science & Business Media
ISBN: 9783540203063
Category : Mathematics
Languages : en
Pages : 284
Get Book Here
Book Description
This book is devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The text outlines examples of applicability, introduces geometric methods in control theory, and analyzes single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated.
Author: Weijiu Liu
Publisher: Springer Science & Business Media
ISBN: 3642046134
Category : Mathematics
Languages : en
Pages : 303
Get Book Here
Book Description
Unlike abstract approaches to advanced control theory, this volume presents key concepts through concrete examples. Once the basic fundamentals are established, readers can apply them to solve other control problems of partial differential equations.
Author: Philippe Destuynder
Publisher: Springer Science & Business Media
ISBN: 3642517617
Category : Mathematics
Languages : en
Pages : 247
Get Book Here
Book Description
Shells and plates have been widely studied by engineers during the last fifty years. As a matter of fact an important number of papers have been based on analytical calculations. More recently numerical simulations have been extensively used. for instance for large displacement analysis. for shape optimization or even -in linear analysis -for composite material understanding. But all these works lie on a choice of a finite element scheme which contains usually three kinds of approximations: 1. a plate or shell mndel including smnll parameters associated to the thickness, 2. an approximntion of the geometry (the medium sUrface of a shell and its boundary), 3. afinite element scheme in order to solve the mndel chosen. VI Obviously the conclusions that we can draw are very much depending on the quality of the three previous choices. For instance composite laminated plates with damage like a delamination is still an open problem even if interesting papers have already been published and based on numerical simulation using existing fmite element and even plate models. • In our opinion the understanding of plate modelling is still an area of interest. Furthermore the links between the various models have to be handled with care. The certainly best understood model is the Kirchhoff-Love model which was completely justified by P. O. Ciarlet and Ph. Destuynder in linear analysis using asymptotic method. But the conclusion is not so clear as far as large displacements are to be taken into account.
Author: Bernard Bonnard
Publisher: Springer Science & Business Media
ISBN: 9783540008385
Category : Science
Languages : en
Pages : 380
Get Book Here
Book Description
The role of singular trajectories in control theory is analysed in this volume that contains about 60 exercieses and problems. A section is devoted to the applications of singular trajectories to the optimisation of batch reactors. The theoretical paart based on the Martinet case concerns the singulatrity analysis of singular trajectories in sub-Riemannian geometry. An algorithm is gibven to evaluate conjugate points and a final chapter discusses open problems. The volume will interest mathematicians and engineers.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 124
Get Book Here
Book Description
Author: Viorel Arnăutu
Publisher: Springer Science & Business Media
ISBN: 9401724881
Category : Computers
Languages : en
Pages : 337
Get Book Here
Book Description
The aim of this book is to present the mathematical theory and the know-how to make computer programs for the numerical approximation of Optimal Control of PDE's. The computer programs are presented in a straightforward generic language. As a consequence they are well structured, clearly explained and can be translated easily into any high level programming language. Applications and corresponding numerical tests are also given and discussed. To our knowledge, this is the first book to put together mathematics and computer programs for Optimal Control in order to bridge the gap between mathematical abstract algorithms and concrete numerical ones. The text is addressed to students and graduates in Mathematics, Mechanics, Applied Mathematics, Numerical Software, Information Technology and Engineering. It can also be used for Master and Ph.D. programs.
Author: Sylvain Sorin
Publisher: Springer Science & Business Media
ISBN: 9783540430285
Category : Business & Economics
Languages : en
Pages : 228
Get Book Here
Book Description
This volume aims to present the basic results in the theory of two-person zero-sum repeated games including stochastic games and repeated games with incomplete information. It is intended for graduate students with no previous knowledge of the field.
