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The Mathematical Theory of Finite Element Methods (Texts in Applied Mathematics) de Ridgway Scott
Descripción - Críticas Second Edition S.C. Brenner and L.R. Scott The Mathematical Theory of Finite Element Methods '[This is] a well-written book. A great deal of material is covered, and students who have taken the trouble to master at least some of the advanced material in the later chapters would be well placed to embark on research in the area.' ZENTRALBLATT MATH From the reviews of the third edition: 'An excelent survey of the deep mathematical roots of finite element methods as well as of some of the newest and most formal results concerning these methods. … The approach remains very clear and precise … . A significant number of examples and exercises improve considerably the accessability of the text. The authors also point out different ways the book could be used in various courses. … valuable reference and source for researchers (mainly mathematicians) in the topic.' (Calin Ioan Gheorghiu, Zentralblatt MATH, Vol. 1135 (13), 2008) Reseña del editor This is the third and yet further updated edition of a highly regarded mathematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. Her volume formalizes basic tools that are commonly used by researchers in the field but not previously published. The book is ideal for mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes. Contraportada This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. The third edition contains four new sections: the BDDC domain decomposition preconditioner, convergence analysis of an adaptive algorithm, interior penalty methods and Poincara\'e-Friedrichs inequalities for piecewise W^1_p functions. New exercises have also been added throughout. The initial chapter provides an introducton to the entire subject, developed in the one-dimensional case. Four subsequent chapters develop the basic theory in the multidimensional case, and a fifth chapter presents basic applications of this theory. Subsequent chapters provide an introduction to: - multigrid methods and domain decomposition methods - mixed methods with applications to elasticity and fluid mechanics - iterated penalty and augmented Lagrangian methods - variational 'crimes' including nonconforming and isoparametric methods, numerical integration and interior penalty methods - error estimates in the maximum norm with applications to nonlinear problems - error estimators, adaptive meshes and convergence analysis of an adaptive algorithm - Banach-space operator-interpolation techniques The book has proved useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory and numerical analysis, while building upon and applying basic techniques of real variable theory. It can also be used for courses that emphasize physical applications or algorithmic efficiency. Reviews of earlier editions: 'This book represents an important contribution to the mathematical literature of finite elements. It is both a well-done text and a good reference.' (Mathematical Reviews, 1995) 'This is an excellent, though demanding, introduction to key mathematical topics in the finite element method, and at the same time a valuable reference and source for workers in the area.' (Zentralblatt, 2002)
Detalles del Libro
- Name: The Mathematical Theory of Finite Element Methods (Texts in Applied Mathematics)
- Autor: Ridgway Scott
- Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
- Tamaño del archivo: 18 MB
- Tipos de archivo: PDF Document
- Descargada: 196 times
- Idioma: Español
- Archivos de estado: AVAILABLE
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The finite element method theory implementation and the finite element method theory implementation and practice november 9 2010 springer the approach taken is mathematical in nature with a strong focus on the underlying mathematical principles such as approximation properties of piecewise 49 adaptive finite element methods 88 491 a posteriori
Finite element methods arxiv finite element methods lecture notes christian clason september 25 2017 christianclasonunidue the mathematical theory of finite element methods 3rd ed vol 15 texts in applied mathematics new york springer doi 1010079780387759340
The mathematical theory of finite element methods the mathematical theory of finite element methods this is a wellwritten book a great deal of material is covered and students who have taken the trouble to master at least some of the advanced material in the later chapters would be well placed to embark on research in the area
The mathematical theory of finite element methods 3rd ed texts in applied mathematics 1 sirovich introduction to applied susanne c brenner l ridgway scott the mathematical theory of finite element methods third edition springer susanne c brenner l ridgway scott department of mathematics and center university of chicago for computation and technology chi il60637 louisiana state
The mathematical theory of finite element methods this book develops the basic mathematical theory of the finite element method the most widely used technique for engineering design and analysis the third edition contains four new sections the bddc domain decomposition preconditioner convergence analysis of an adaptive algorithm interior penalty methods and poincaraefriedrichs inequalities for piecewise w1_p functions
The mathematical theory of finite element methods the mathematical theory of finite element methods scott 20151002 the mathematical theory of finite element methods by l ridgway scott 本资源仅用于学习和交流用请于下载后24小时内自觉删除
The mathematical theory of finite element methods texts the mathematical theory of finite element methods this is a wellwritten book a great deal of material is covered and students who have taken the trouble to master at least some of the advanced material in the later chapters would be well placed to embark on research in the area zentralblatt math from the reviews of the third edition
The mathematics of finite elements and applications publisher summary this chapter presents an introduction to the mathematics of the finite element method the finite element method is a very successful application of classical methods such as 1 the ritz method 2 the galerkin method and 3 the least squares method for approximating the solutions of boundary value problems arising in the theory of elliptic partial differential equations
Theory and practice of finite elements alexandre ern rsanderssen mathematical reviews 2005 this book is an expanded version of lecture notes published by the authors in french it has been used as a textbook for graduate finite element courses the book can be used in several courses in mathematics computer science and engineering programs
Fmve050 mathematical theory of finite element methods fmve050 mathematical theory of finite element methods graduate course spring 2012 literature s c brenner and l r scott the mathematical theory of finite element methods 3rd ed springer 2008 course description the core of the course is the theory of finite elements in chapters 3 and 4