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: 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: Benedict Baur Название: Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection ISBN: 3658058285 ISBN-13(EAN): 9783658058289 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Benedict Baur presents modern functional analytic methods for construction and analysis of Feller processes in general and diffusion processes in particular.
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: John R. Rice; Ronald F. Boisvert Название: Solving Elliptic Problems Using ELLPACK ISBN: 1461295289 ISBN-13(EAN): 9781461295280 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: ELLP ACK is a many faceted system for solving elliptic partial differential equations. Many people will find ELLP ACK an easy way to solve simple or moderately complex elliptic problems.
Автор: G?rlebeck; Spr?ssig Название: Quaternionic Analysis and Elliptic Boundary Value Problems ISBN: 3034872976 ISBN-13(EAN): 9783034872973 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Monique Dauge Название: Elliptic Boundary Value Problems on Corner Domains ISBN: 354050169X ISBN-13(EAN): 9783540501695 Издательство: Springer Рейтинг: Цена: 41920.00 T 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: 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: Vladimir Maz`ya; B. Plamenevskij; Serguei Nazarov; Название: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II ISBN: 3764363983 ISBN-13(EAN): 9783764363987 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: 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
Автор: Serena Dipierro; Mar?a Medina; Enrico Valdinoci Название: Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$ ISBN: 8876426000 ISBN-13(EAN): 9788876426001 Издательство: Springer Рейтинг: Цена: 23290.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary.The results presented are original, but no particular prerequisite or knowledge of the previous literature is needed to read this text.
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