Variational Problems with Concentration PDF Download
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Author: Martin F. Bach
Publisher: Birkhäuser
ISBN: 303488687X
Category : Mathematics
Languages : en
Pages : 162
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Book Description
This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.
Author: Martin F. Bach
Publisher: Birkhäuser
ISBN: 303488687X
Category : Mathematics
Languages : en
Pages : 162
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Book Description
This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.
Author: Martin Flucher
Publisher:
ISBN: 9783034886888
Category :
Languages : en
Pages : 176
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Book Description
This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.
Author: Naveen Kumar
Publisher: Alpha Science Int'l Ltd.
ISBN: 9781842651957
Category : Computers
Languages : en
Pages : 144
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Book Description
"The book covers topics in detail supported by figures and exercises and also lists some direct (approximate) methods to solve boundary value problems containing ordinary/partial differential equations by variational and residue methods, some of them being of immense importance in the treatment of finite element numerical methods. Variety of disciplines being used in the subject, are given in brief, in respective appendices."--BOOK JACKET.
Author: Giuseppe Buttazzo
Publisher: Oxford University Press
ISBN: 9780198504658
Category : Mathematics
Languages : en
Pages : 282
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Book Description
While easier to solve and accessible to a broader range of students, one-dimensional variational problems and their associated differential equations exhibit many of the same complex behavior of higher-dimensional problems. This book, the first moden introduction, emphasizes direct methods and provides an exceptionally clear view of the underlying theory.
Author: Alexey F. Izmailov
Publisher: Springer
ISBN: 3319042475
Category : Business & Economics
Languages : en
Pages : 587
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Book Description
This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis.
Author: Vasile Staicu
Publisher: Springer Science & Business Media
ISBN: 3764384824
Category : Mathematics
Languages : en
Pages : 436
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Book Description
This collection of original articles and surveys written by leading experts in their fields is dedicated to Arrigo Cellina and James A. Yorke on the occasion of their 65th birthday. The volume brings the reader to the border of research in differential equations, a fast evolving branch of mathematics that, besides being a main subject for mathematicians, is one of the mathematical tools most used both by scientists and engineers.
Author: Andrej Cherkaev
Publisher: Springer Science & Business Media
ISBN: 1461211883
Category : Science
Languages : en
Pages : 561
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Book Description
This book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in sufficiently simple form as to make them available for practical use.
Author: Hans Petter Langtangen
Publisher: Springer Nature
ISBN: 3030237885
Category : Mathematics
Languages : en
Pages : 395
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Book Description
This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.
Author: Daniel Goeleven
Publisher: CRC Press
ISBN: 9780582304024
Category : Mathematics
Languages : en
Pages : 186
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Book Description
In establishing a general theory of the existence of solutions for noncoercive variational problems and constrained problems formulated as variational inequalities or hemivariational inequalities, this Research Note illustrates recent mathematical approaches and results with various examples from mathematics and mechanics. The book unifies ideas for the treatment of various noncoercive problems and provides previously unpublished results for variational inequalities and hemivariational inequalities. The author points out important applications in mechanics and their mathfematical tratment using recession tools. This book will be of particular interest to researchers in pure and aplied mathematics and mechanics.
Author: Paul Baird
Publisher: Birkhäuser
ISBN: 3034879687
Category : Mathematics
Languages : en
Pages : 158
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Book Description
This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.
