In this thoroughly revised version of the successful first edition, the author has added new material that will prove useful for research or application of the finite element method. The most important application of finite elements is the numerical solution of elliptic partial differential equations. The author provides thorough coverage of this subject and includes aspects such as saddle point problems that require a more in-depth mathematical treatment.
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Book Description
Editorial Reviews
Review
"Carefully written...Braess's book introduces partial differential equations (PDEs) and methods used to solve them numerically...Extensive and valuable bibliography. Recommended for graduate students." Choice
Language Notes
Text: English (translation)
Original Language: German --This text refers to an out of print or unavailable edition of this title.
Original Language: German --This text refers to an out of print or unavailable edition of this title.
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Most Helpful Customer Reviews
2 of 2 people found the following review helpful:
4.0 out of 5 stars
A decent introduction to theory and methods for FEM,
This review is from: Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics (Paperback)
I would say I mostly agree with the previous reviewer. The description is pretty clear, despite being a translation, and it has actually proven useful to me during my time in grad school. One minor complaint I have is that some of the proofs he gives are not as clear as I would like them to be. Specifically, I am talking about the sections dealing with the INF-SUP condition. It seems that everyone who writes an FEM book either skirts this whole issue of the INF-SUP condition (which is what a lot of engineering texts do), or they just copy the 'standard' proofs, which suck. But other than that, this is a useful book to have.
4 of 5 people found the following review helpful:
4.0 out of 5 stars
A Good Book To Learn Finite Elements From,
By
This review is from: Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics (Paperback)
I recently read this book as part of an advanced numerical analysis class in grad school. I found it to be well written and easy to read. It was useful to me in learning about finite elements from both an abstract and practical perspective. I would recommend it to anyone familiar with the concept of a weak solution to an elliptic partial differential equation and with some experience with numerical linear algebra.
This book could have been improved by including some code or pseudo-code to help get novices started. This is not too severe of a drawback since the text is so well written that the reader should be able to implement many of the ideas without any other training in this area.
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Inside This Book
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First Sentence:
In dealing with partial differential equations, it is useful to differentiate between several types. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
congruent subtriangles, saddle point problem, bilinear quadrilateral elements, affine families, minimal residual method, nonconforming elements, affine family, second order elliptic problems, finite element spaces, symmetric gradient, conforming finite elements, displacement formulation, linear triangular elements, smoothing steps, difference star, nodal basis, discrete maximum principle, multigrid method, alternating method, inverse estimate, multigrid algorithm, coarsest grid, bubble function, energy norm, trace theorem Key Phrases - Capitalized Phrases (CAPs): (learn more)
Computational Considerations, Existence Theorem, Proof Let New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In dealing with partial differential equations, it is useful to differentiate between several types. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
congruent subtriangles, saddle point problem, bilinear quadrilateral elements, affine families, minimal residual method, nonconforming elements, affine family, second order elliptic problems, finite element spaces, symmetric gradient, conforming finite elements, displacement formulation, linear triangular elements, smoothing steps, difference star, nodal basis, discrete maximum principle, multigrid method, alternating method, inverse estimate, multigrid algorithm, coarsest grid, bubble function, energy norm, trace theorem Key Phrases - Capitalized Phrases (CAPs): (learn more)
Computational Considerations, Existence Theorem, Proof Let New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 32
books:
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9
books
cite this book:
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- Partial Differential Equations (Applied Mathematical Sciences) (v. 1) by Fritz John in Back Matter (1), Back Matter (2), and Back Matter (3)
- Finite Element Methods: Lecture Notes in Pure and Applied Mathematics, Vol 196 by Michel Krizek in Back Matter (1), and Back Matter (2)
- A First Course in Rational Continuum Mechanics (Pure and applied mathematics, a series of monographs and textbooks) by Clifford A. Truesdell in Back Matter
- Differential Equations (2nd Edition) by John Polking in Back Matter
- Elliptic Partial Differential Equations of Second Order by David Gilbarg in Back Matter
See all 32 books this book cites
- Fundamental Finite Element Analysis and Applications: with Mathematica and Matlab Computations by M. Asghar Bhatti in Back Matter
- Advanced Topics in Finite Element Analysis of Structures: With Mathematica and MATLAB Computations by M. Asghar Bhatti in Back Matter
- A Posteriori Error Analysis Via Duality Theory: With Applications in Modeling and Numerical Approximations (Advances in Mechanics and Mathematics) by Weimin Han in Back Matter
- Theoretical Numerical Analysis by Kendall Atkinson in Back Matter
- Plasticity : Mathematical Theory and Numerical Analysis (Interdisciplinary Applied Mathematics, Vol. 9.) by Weimin Han in Back Matter
See all 9 books citing this book
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