Mixed and Hybrid Finite Element Methods, Franco Brezzi; Michel Fortin
Автор: Pavel B. Bochev; Max D. Gunzburger Название: Least-Squares Finite Element Methods ISBN: 0387308881 ISBN-13(EAN): 9780387308883 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Since their emergence finite element methods have become one of the most versatile and powerful methodologies for the approximate numerical solution of PDEs. Today finite element methods are in common use for incompressible fluid flow, heat, transfer, electromagnetics, and convection-diffusion-reaction problems, to name a few. This book is written with the premise that there is a real, existing need to put least-squares finite elemenet methods on a common mathematically sound foundation. It is intended to give both the researcher and the practitioner a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems. Appendices provide results from functional analysis and standard finite theory which are used in various places in the book.
Автор: Daniele Boffi; Franco Brezzi; Michel Fortin Название: Mixed Finite Element Methods and Applications ISBN: 3642365183 ISBN-13(EAN): 9783642365188 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Here is a framework for mixed finite element methods, moving from a finite dimensional presentation, then on to formulation in Hilbert spaces and approximations, stabilized methods and eigenvalue problems. Offers examples: Stokes` problem, elasticity and more.
Описание: This book offers a thorough understanding of the applications of finite element method (FEM) to reliability modeling and an appreciation of the strengths and weaknesses of various numerical models for interconnect reliability.
Автор: Pavel B. Bochev; Max D. Gunzburger Название: Least-Squares Finite Element Methods ISBN: 1441921605 ISBN-13(EAN): 9781441921604 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Finite element methods have become one of the most versatile and powerful methodologies for the approximate numerical solution of PDEs. This book is a thorough yet concise guide to the theory and practice of least-square finite element methods.
Автор: Volker John Название: Finite Element Methods for Incompressible Flow Problems ISBN: 3319457497 ISBN-13(EAN): 9783319457499 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.
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.
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