The mathematical theory of finite element methods / Susanne C. Brenner, L. Ridgeway Scott.
"This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. This expanded second edition contains new chapters on additive Schwarz preconditioners and adaptive meshes. New exercises have also been added thro...
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Main Authors: | , |
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Format: | Book |
Language: | English |
Published: |
New York, NY :
Springer-Verlag,
2002.
|
Edition: | Second edition. |
Series: | Texts in applied mathematics ;
15. |
Subjects: |
MARC
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100 | 1 | |a Brenner, Susanne C., |e author. |9 1061029 | |
245 | 1 | 4 | |a The mathematical theory of finite element methods / |c Susanne C. Brenner, L. Ridgeway Scott. |
250 | |a Second edition. | ||
264 | 1 | |a New York, NY : |b Springer-Verlag, |c 2002. | |
300 | |a xv, 361 pages : |b illustrations ; |c 25 cm. | ||
336 | |a text |b txt |2 rdacontent | ||
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338 | |a volume |b nc |2 rdacarrier | ||
490 | 1 | |a Texts in applied mathematics ; |v 15 | |
504 | |a Includes bibliographical references (pages 349-356) and index. | ||
505 | 0 | 0 | |t Basic Concepts -- |g 1. |t Sobolev Spaces -- |g 2. |t Variational Formulation of Elliptic Boundary Value Problems -- |g 3. |t The Construction of a Finite Element Space -- |g 4. |t Polynomial Approximation Theory in Sobolev Spaces -- |g 5. |t n-Dimensional Variational Problems -- |g 6. |t Finite Element Multigrid Methods -- |g 7. |t Additive Schwarz Preconditioners -- |g 8. |t Max-norm Estimates -- |g 9. |t Adaptive Meshes -- |g 10. |t Variational Crimes -- |g 11. |t Applications to Planar Elasticity -- |g 12. |t Mixed Methods -- |g 13. |t Iterative Techniques for Mixed Methods -- |g 14. |t Applications of Operator-Interpolation Theory. |
520 | 1 | |a "This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. This expanded second edition contains new chapters on additive Schwarz preconditioners and adaptive meshes. New exercises have also been added throughout." "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."--BOOK JACKET. | |
588 | |a Machine converted from AACR2 source record. | ||
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700 | 1 | |a Scott, L. Ridgway, |e author. |9 1061030 | |
830 | 0 | |a Texts in applied mathematics ; |v 15. |9 236236 | |
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