The Mimetic Finite Difference Method for Elliptic Problems, Lourenco Beirao da Veiga; Konstantin Lipnikov; Gia
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: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The Mimetic Finite Difference Method for Elliptic Problems
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: Vladimir Maz`ya; Serguei Nazarov; Boris Plamenevsk Название: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains ISBN: 3764363975 ISBN-13(EAN): 9783764363970 Издательство: Springer Рейтинг: Цена: 195610.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Zohar Yosibash Название: Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation ISBN: 1489995102 ISBN-13(EAN): 9781489995100 Издательство: Springer Рейтинг: Цена: 144410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations. These methods are well-established and belong to a fast developing area. In this volume, the reader will find a brief historical overview, the basic results of the general theory of domain and space decomposition methods as well as the description and analysis of practical DD algorithms for parallel computing. It is typical to find in this volume that most of the presented DD solvers belong to the family of fast algorithms, where each component is efficient with respect to the arithmetical work. Readers will discover new analysis results for both the well-known basic DD solvers and some DD methods recently devised by the authors, e.g., for elliptic problems with varying chaotically piecewise constant orthotropism without restrictions on the finite aspect ratios.
The hp finite element discretizations, in particular, by spectral elements of elliptic equations are given significant attention in current research and applications. This volume is the first to feature all components of Dirichlet-Dirichlet-type DD solvers for hp discretizations devised as numerical procedures which result in DD solvers that are almost optimal with respect to the computational work. The most important DD solvers are presented in the matrix/vector form algorithms that are convenient for practical use.
Автор: J?rgen Fuhrmann; Mario Ohlberger; Christian Rohde Название: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems ISBN: 3319055909 ISBN-13(EAN): 9783319055909 Издательство: Springer Рейтинг: Цена: 149060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.
Автор: Choulli Название: Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems ISBN: 331933641X ISBN-13(EAN): 9783319336411 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents a unifiedapproach to studying the stability of both elliptic Cauchy problems and selectedinverse problems. Based on elementary Carleman inequalities, it establishesthree-ball inequalities, which are the key to deriving logarithmic stabilityestimates for elliptic Cauchy problems and are also useful in proving stabilityestimates for certain elliptic inverse problems. The book presents three inverseproblems, the first of which consists in determining the surface impedance ofan obstacle from the far field pattern. The second problem investigates the detectionof corrosion by electric measurement, while the third concerns thedetermination of an attenuation coefficient from internal data, which ismotivated by a problem encountered in biomedical imaging.
Автор: J?rgen Fuhrmann; Mario Ohlberger; Christian Rohde Название: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems ISBN: 3319382888 ISBN-13(EAN): 9783319382883 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.
Автор: Agranovich Mikhail Название: Sobolev Spaces, Their Generalizations and Elliptic Problems ISBN: 3319146475 ISBN-13(EAN): 9783319146478 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.
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