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Numerical Methods for Mixed Finite Element Problems, Deteix


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Автор: Deteix
Название:  Numerical Methods for Mixed Finite Element Problems
ISBN: 9783031126154
Издательство: Springer
Классификация:



ISBN-10: 3031126157
Обложка/Формат: Soft cover
Страницы: 116
Вес: 0.20 кг.
Дата издания: 09.10.2022
Серия: Lecture Notes in Mathematics
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 20 tables, color; 22 illustrations, color; 7 illustrations, black and white; vi, 116 p. 29 illus., 22 illus. in color.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: Applications to incompressible materials and contact problems
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book focuses on iterative solvers and preconditioners for mixed finite element methods. It provides an overview of some of the state-of-the-art solvers for discrete systems with constraints such as those which arise from mixed formulations. Starting by recalling the basic theory of mixed finite element methods, the book goes on to discuss the augmented Lagrangian method and gives a summary of the standard iterative methods, describing their usage for mixed methods. Here, preconditioners are built from an approximate factorisation of the mixed system. A first set of applications is considered for incompressible elasticity problems and flow problems, including non-linear models. An account of the mixed formulation for Dirichlet’s boundary conditions is then given before turning to contact problems, where contact between incompressible bodies leads to problems with two constraints. This book is aimed at graduate students and researchers in the field of numerical methods and scientific computing.
Дополнительное описание: - 1. Introduction. - 2. Mixed Problems. - 3. Iterative Solvers for Mixed Problems. - 4. Numerical Results: Cases Where Q=Q'. - 5. Contact Problems: A Case Where Q ? Q'. - 6. Solving Problems with More Than One Constraint. - 7. Conclusion.



Numerical Models for Differential Problems

Автор: Alfio Quarteroni
Название: Numerical Models for Differential Problems
ISBN: 3319493159 ISBN-13(EAN): 9783319493152
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This book introduces the basic concepts for the numerical modelling of partial differential equations. It details algorithmic and computer implementation aspects and provides a number of easy-to-use programs.

Numerical methods for engineers

Автор: Chapra, Steven Canale, Raymond
Название: Numerical methods for engineers
ISBN: 1260571386 ISBN-13(EAN): 9781260571387
Издательство: McGraw-Hill
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Цена: 14359.00 р.
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Описание: The eighth edition of Chapra and Canale's Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. The book covers the standard numerical methods employed by both students and practicing engineers. Although relevant theory is covered, the primary emphasis is on how the methods are applied for engineering problem solving.

Each part of the book includes a chapter devoted to case studies from the major engineering disciplines. Numerous new or revised end-of chapter problems and case studies are drawn from actual engineering practice. This edition also includes several new topics including a new formulation for cubic splines, Monte Carlo integration, and supplementary material on hyperbolic partial differential equations.

Advanced Boundary Element Methods

Автор: Joachim Gwinner , Ernst Peter Stephan
Название: Advanced Boundary Element Methods
ISBN: 3319920006 ISBN-13(EAN): 9783319920009
Издательство: Springer
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Цена: 8804.00 р. 12577.00 -30%
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Описание: This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems.

It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods - efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.

Mixed Finite Element Methods and Applications

Автор: Daniele Boffi; Franco Brezzi; Michel Fortin
Название: Mixed Finite Element Methods and Applications
ISBN: 3642365183 ISBN-13(EAN): 9783642365188
Издательство: Springer
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Цена: 25155.00 р.
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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.

Numerical Simulations of Coupled Problems in Engineering

Автор: Sergio R. Idelsohn
Название: Numerical Simulations of Coupled Problems in Engineering
ISBN: 3319381083 ISBN-13(EAN): 9783319381084
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This book presents and discusses mathematical models, numerical methods and computational techniques used for solving coupled problems in science and engineering.

Numerical Continuation Methods for Dynamical Systems

Автор: Bernd Krauskopf; Hinke M. Osinga; Jorge Galan-Vioq
Название: Numerical Continuation Methods for Dynamical Systems
ISBN: 9400797028 ISBN-13(EAN): 9789400797024
Издательство: Springer
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Цена: 19589.00 р.
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Описание: Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay.

Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods

Автор: Kaliakin, Victor N.
Название: Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods
ISBN: 082470679X ISBN-13(EAN): 9780824706791
Издательство: Taylor&Francis
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Цена: 29093.00 р.
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Galerkin Finite Element Methods for Parabolic Problems

Автор: Vidar Thomee
Название: Galerkin Finite Element Methods for Parabolic Problems
ISBN: 3642069673 ISBN-13(EAN): 9783642069673
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book provides insight into the mathematics of Galerkin finite element method as applied to parabolic equations. Two new chapters have also been added, dealing with problems in polygonal, particularly noncovex, spatial domains, and with time discretization based on using Laplace transformation and quadrature.

Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems

Автор: Christoph Lohmann
Название: Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems
ISBN: 365827736X ISBN-13(EAN): 9783658277369
Издательство: Springer
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Цена: 9083.00 р.
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Описание: Christoph Lohmann introduces a very general framework for the analysis and design of bound-preserving finite element methods. The results of his in-depth theoretical investigations lead to promising new extensions and modifications of existing algebraic flux correction schemes. The main focus is on new limiting techniques designed to control the range of solution values for advected scalar quantities or the eigenvalue range of symmetric tensors. The author performs a detailed case study for the Folgar-Tucker model of fiber orientation dynamics. Using eigenvalue range preserving limiters and admissible closure approximations, he develops a physics-compatible numerical algorithm for this model.

Finite Volume Methods for Hyperbolic Problems

Автор: Randall J. LeVeque
Название: Finite Volume Methods for Hyperbolic Problems
ISBN: 0521009243 ISBN-13(EAN): 9780521009249
Издательство: Cambridge Academ
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Цена: 11563.00 р.
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Описание: This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.

Mixed and Hybrid Finite Element Methods

Автор: Franco Brezzi; Michel Fortin
Название: Mixed and Hybrid Finite Element Methods
ISBN: 1461278244 ISBN-13(EAN): 9781461278245
Издательство: Springer
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Цена: 14673.00 р.
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Описание: Research on non-standard finite element methods is evolving rapidly and in this text Brezzi and Fortin give a general framework in which the development is taking place. The presentation is built around a few classic examples: Dirichlet`s problem, Stokes problem, Linear elasticity.

Dirichlet-Dirichlet Domain Decomposition Methods For Elliptic Problems: H And Hp Finite Element Discretizations

Автор: Korneev Vadim Glebiovich Et Al
Название: Dirichlet-Dirichlet Domain Decomposition Methods For Elliptic Problems: H And Hp Finite Element Discretizations
ISBN: 9814578452 ISBN-13(EAN): 9789814578455
Издательство: World Scientific Publishing
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Цена: 24552.00 р.
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Описание:

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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