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An Introduction to the Mathematical Theory of Finite Elements Vital Source e-bog
J. T. Oden
(2012)
Dover Publications
284,00 kr.
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An Introduction to the Mathematical Theory of Finite Elements
J. T. Oden og J. N. Reddy
(2011)
Sprog: Engelsk
Dover Publications, Incorporated
296,00 kr.
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Detaljer om varen
- Vital Source searchable e-book (Reflowable pages): 448 sider
- Udgiver: Dover Publications (Maj 2012)
- ISBN: 9780486142210
This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations.J. T. Oden is Director of the Institute for Computational Engineering
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Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: -1 sider kan printes ad gangen
Copy: højest -1 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Paperback: 446 sider
- Udgiver: Dover Publications, Incorporated (April 2011)
- Forfattere: J. T. Oden og J. N. Reddy
- ISBN: 9780486462998
This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations.
J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.
J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.
1. Introduction
2. Distributions, Mollifiers, and Mean Functions
3. Theory of Sobolev Spaces
4. Hilbert Space Theory of Traces and Intermediate Spaces
5. Some Elements of Elliptic Theory
6. Finite-Element Interpolation
7. Variational Boundary-Value Problems
8. Finite-Element Approximations of Elliptic Boundary-Value Problems
9. Time-Dependent Problems Author Index Subject Index
2. Distributions, Mollifiers, and Mean Functions
3. Theory of Sobolev Spaces
4. Hilbert Space Theory of Traces and Intermediate Spaces
5. Some Elements of Elliptic Theory
6. Finite-Element Interpolation
7. Variational Boundary-Value Problems
8. Finite-Element Approximations of Elliptic Boundary-Value Problems
9. Time-Dependent Problems Author Index Subject Index
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