Discrete Variational Problems With Interfaces
DOWNLOAD
Download Discrete Variational Problems With Interfaces PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Discrete Variational Problems With Interfaces book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Discrete Variational Problems With Interfaces
DOWNLOAD
Author : Roberto Alicandro
language : en
Publisher: Cambridge University Press
Release Date : 2023-12-21
Discrete Variational Problems With Interfaces written by Roberto Alicandro and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Mathematics categories.
Many materials can be modeled either as discrete systems or as continua, depending on the scale. At intermediate scales it is necessary to understand the transition from discrete to continuous models and variational methods have proved successful in this task, especially for systems, both stochastic and deterministic, that depend on lattice energies. This is the first systematic and unified presentation of research in the area over the last 20 years. The authors begin with a very general and flexible compactness and representation result, complemented by a thorough exploration of problems for ferromagnetic energies with applications ranging from optimal design to quasicrystals and percolation. This leads to a treatment of frustrated systems, and infinite-dimensional systems with diffuse interfaces. Each topic is presented with examples, proofs and applications. Written by leading experts, it is suitable as a graduate course text as well as being an invaluable reference for researchers.
Discrete Variational Problems With Interfaces
DOWNLOAD
Author : Roberto Alicandro
language : en
Publisher: Cambridge University Press
Release Date : 2023-12-21
Discrete Variational Problems With Interfaces written by Roberto Alicandro and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Mathematics categories.
A systematic presentation of discrete-to-continuum results and methods, offering new perspectives on intrinsically discrete problems.
A Variational Theory Of Convolution Type Functionals
DOWNLOAD
Author : Roberto Alicandro
language : en
Publisher: Springer Nature
Release Date : 2023-05-02
A Variational Theory Of Convolution Type Functionals written by Roberto Alicandro and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-02 with Mathematics categories.
This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments. A general asymptotic analysis of such non-local functionals is performed, via Gamma-convergence, in order to show that the limit may be a local functional representable as an integral. Energies of this form are encountered in many different contexts and the interest in building up a general theory is also motivated by the multiple interests in applications (e.g. peridynamics theory, population dynamics phenomena and data science). The results obtained are applied to periodic and stochastic homogenization, perforated domains, gradient flows, and point-clouds models. This book is mainly intended for mathematical analysts and applied mathematicians who are also interested in exploring further applications of the theory to pass from a non-local to a local description, both in static problems and in dynamic problems.
Discrete Computational Mechanics Of Masonry Structures
DOWNLOAD
Author : Katalin Bagi
language : en
Publisher: Springer Nature
Release Date : 2023-09-02
Discrete Computational Mechanics Of Masonry Structures written by Katalin Bagi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-02 with Technology & Engineering categories.
This book provides an overview to those most important modern and traditional methods of masonry analysis that are able to capture the discrete internal built-up of masonry structures. Such methods are available in a wide variety today – from computational packages based on classical graphical statics techniques through discrete element methods or the most sophisticated no-tension semi-continuum models – , and this book reviews their theoretical foundations, as well as their advantages and preferable fields of application, also calling the attention on their limitations so that the reader could build up a critical view of the choices they have when attacking a masonry mechanics problem. The book gives a basis for the readers to become able to develop their own methods, inspired either by classical graphical statics, or by any modern technique they find promising.
Domain Decomposition Methods In Science And Engineering Xvi
DOWNLOAD
Author : Olof Widlund
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-30
Domain Decomposition Methods In Science And Engineering Xvi written by Olof Widlund and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-30 with Technology & Engineering categories.
Domain decomposition is an active research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.
The Immersed Interface Method
DOWNLOAD
Author : Zhilin Li
language : en
Publisher: SIAM
Release Date : 2006-07-01
The Immersed Interface Method written by Zhilin Li and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-01 with Mathematics categories.
"This book will be a useful resource for mathematicians, numerical analysts, engineers, graduate students, and anyone who uses numerical methods to solve computational problems, particularly problems with fixed and moving interfaces, free boundary problems, and problems on regular domains."--BOOK JACKET.
Topics On Concentration Phenomena And Problems With Multiple Scales
DOWNLOAD
Author : Andrea Braides
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-22
Topics On Concentration Phenomena And Problems With Multiple Scales written by Andrea Braides and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-22 with Mathematics categories.
The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena is a challenging topic of very active research. This volume collects lecture notes on the asymptotic analysis of such problems when multi-scale behaviour derives from scale separation in the passage from atomistic systems to continuous functionals, from competition between bulk and surface energies, from various types of homogenization processes, and on concentration effects in Ginzburg-Landau energies and in subcritical growth problems.
Convexity From The Geometric Point Of View
DOWNLOAD
Author : Vitor Balestro
language : en
Publisher: Springer Nature
Release Date : 2024-07-14
Convexity From The Geometric Point Of View written by Vitor Balestro and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-14 with Mathematics categories.
This text gives a comprehensive introduction to the “common core” of convex geometry. Basic concepts and tools which are present in all branches of that field are presented with a highly didactic approach. Mainly directed to graduate and advanced undergraduates, the book is self-contained in such a way that it can be read by anyone who has standard undergraduate knowledge of analysis and of linear algebra. Additionally, it can be used as a single reference for a complete introduction to convex geometry, and the content coverage is sufficiently broad that the reader may gain a glimpse of the entire breadth of the field and various subfields. The book is suitable as a primary text for courses in convex geometry and also in discrete geometry (including polytopes). It is also appropriate for survey type courses in Banach space theory, convex analysis, differential geometry, and applications of measure theory. Solutions to all exercises are available to instructors who adopt the text for coursework. Most chapters use the same structure with the first part presenting theory and the next containing a healthy range of exercises. Some of the exercises may even be considered as short introductions to ideas which are not covered in the theory portion. Each chapter has a notes section offering a rich narrative to accompany the theory, illuminating the development of ideas, and providing overviews to the literature concerning the covered topics. In most cases, these notes bring the reader to the research front. The text includes many figures that illustrate concepts and some parts of the proofs, enabling the reader to have a better understanding of the geometric meaning of the ideas. An appendix containing basic (and geometric) measure theory collects useful information for convex geometers.
Proceedings Of 8th Gacm Colloquium On Computational Mechanics
DOWNLOAD
Author : Tobias Gleim
language : en
Publisher: kassel university press GmbH
Release Date : 2019-09-04
Proceedings Of 8th Gacm Colloquium On Computational Mechanics written by Tobias Gleim and has been published by kassel university press GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-04 with Technology & Engineering categories.
This conference book contains papers presented at the 8th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. The conference was held from August 28th – 30th, 2019 in Kassel, hosted by the Institute of Mechanics and Dynamics of the department for civil and environmental engineering and by the chair of Engineering Mechanics / Continuum Mechanics of the department for mechanical engineering of the University of Kassel. The aim of the conference is, to bring together young scientits who are engaged in academic and industrial research on Computational Mechanics and Computer Methods in Applied Sciences. It provides a plattform to present and discuss recent results from research efforts and industrial applications. In more than 150 presentations, given by young scientists, current scientific developments and advances in engineering practice in this field are presented and discussed. The contributions of the young researchers are supplemented by a poster session and plenary talks from four senior scientists from academia and industry as well as from the GACM Best PhD Award winners 2017 and 2018.
Solving Pdes In Python
DOWNLOAD
Author : Hans Petter Langtangen
language : en
Publisher: Springer
Release Date : 2017-03-21
Solving Pdes In Python written by Hans Petter Langtangen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-21 with Computers categories.
This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, including the Poisson equation, the equations of linear elasticity, the incompressible Navier–Stokes equations, and systems of nonlinear advection–diffusion–reaction equations, it guides readers through the essential steps to quickly solving a PDE in FEniCS, such as how to define a finite variational problem, how to set boundary conditions, how to solve linear and nonlinear systems, and how to visualize solutions and structure finite element Python programs. This book is open access under a CC BY license.