Описание: This important, pragmatic and timely book on the mathematical models of damage and flow tolerance is written by a recognized expert in the field. It will appeal to both mathematicians who are interested in the regularity of elliptic boundary value problems and to engineers interested in the study of fractions and fatigue of materials.
This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics.
The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.
The book is useful for researchers, PhD and master's level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.
Автор: Lieberman Gary M. Название: Oblique Derivative Problems for Elliptic Equations ISBN: 9814452327 ISBN-13(EAN): 9789814452328 Издательство: World Scientific Publishing Рейтинг: Цена: 26136.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations. The modern analysis of shock reflection was made possible by the theory of oblique derivative problems developed by the author. Such problems also arise in many other physical situations such as the shape of a capillary surface and problems of optimal transportation. The author begins the book with basic results for linear oblique derivative problems and work through the theory for quasilinear and nonlinear problems. The final chapter discusses some of the applications. In addition, notes to each chapter give a history of the topics in that chapter and suggestions for further reading.
Автор: Beirao Da Veiga, Lourenco Lipnikov, Konstantin Manzini, Gianmarco Название: Mimetic finite difference method for elliptic problems ISBN: 3319026623 ISBN-13(EAN): 9783319026626 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Mimetic Finite Difference Method for Elliptic Problems
Автор: Monique Dauge Название: Elliptic Boundary Value Problems on Corner Domains ISBN: 354050169X ISBN-13(EAN): 9783540501695 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focuses on a large class of variational elliptic problems with mixed boundary conditions on domains with various corner singularities, edges, polyhedral vertices, cracks, and slits. This research monograph characterizes Fredholm and semi-Fredholm properties of induced operators in a natural functional framework.
Автор: Mari?n Vajtersic Название: Algorithms for Elliptic Problems ISBN: 9048141907 ISBN-13(EAN): 9789048141906 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'Et moi, ..., si j'avait su comment. One service mathematics has ren- en revenir, je n'y serais point alle'. dered the human race. It has put common sense back where it be- Jules Verne longs, on the topmost shelf next to the dusty canister labelIed 'discard- The series is divergent; therefore we ed nonsense'. may be able to do something with Eric T. Bell it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathema- tical physics ... '; 'One service logic has rendered computer science ... '; 'One service category theory has rendered mathematics ... '. All ar- guably true. Alld all statements obtainable this way form part of the raison d 'etre of this serics.
Описание: For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors` work, and has no significant overlap with other books on the theory of elliptic boundary value problems
Автор: Lourenco Beirao da Veiga; Konstantin Lipnikov; Gia Название: The Mimetic Finite Difference Method for Elliptic Problems ISBN: 3319379003 ISBN-13(EAN): 9783319379005 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book describes theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, including diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems.
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