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. It formalizes basic tools that are commonly used by researchers in the field but not previously published. The book will be useful to mathematicians as w...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
2002.
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| Edition: | Second edition. |
| Series: | Texts in applied mathematics ;
15. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. It formalizes basic tools that are commonly used by researchers in the field but not previously published. The book will be 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. Different course paths can be chosen, allowing the book to be used for courses designed for students with different interests. For example, courses can emphasize physical applications, or algorithmic efficiency and code development issues, or the more difficult convergence theorems of the subject. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes. Review of earlier edition: "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). |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xv, 363 pages) |
| ISBN: | 9781475736588 (electronic bk.) 1475736584 (electronic bk.) |
| ISSN: | 0939-2475 ; |