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Least squares finite element methods 1st Edition by Pavel B Bochev, Max D Gunzburger ISBN 0387308881 978-0387308883

  • SKU: BELL-2041216
Least squares finite element methods 1st Edition by Pavel B Bochev, Max D Gunzburger ISBN 0387308881 978-0387308883
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Least squares finite element methods 1st Edition by Pavel B Bochev, Max D Gunzburger ISBN 0387308881 978-0387308883 instant download after payment.

Publisher: Springer
File Extension: PDF
File size: 5.26 MB
Pages: 664
Author: Bochev P., Gunzburger M.
ISBN: 9780387308883, 0387308881
Language: English
Year: 2009

Product desciption

Least squares finite element methods 1st Edition by Pavel B Bochev, Max D Gunzburger ISBN 0387308881 978-0387308883 by Bochev P., Gunzburger M. 9780387308883, 0387308881 instant download after payment.

Least-squares finite element methods 1st Edition by Pavel B. Bochev, Max D. Gunzburger - Ebook PDF Instant Download/Delivery: 0387308881, 978-0387308883

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Product details:

ISBN 10: 0387308881

ISBN 13: 978-0387308883 

Author: Pavel B. Bochev, Max D. Gunzburger 

Since their emergence in the early 1950s, ?nite element methods have become one of the most versatile and powerful methodologies for the approximate numerical solution of partial differential equations. At the time of their inception, ?nite e- ment methods were viewed primarily as a tool for solving problems in structural analysis. However, it did not take long to discover that ?nite element methods could be applied with equal success to problems in other engineering and scienti?c ?elds. Today, ?nite element methods are also in common use, and indeed are often the method of choice, for incompressible ?uid ?ow, heat transfer, electromagnetics, and advection-diffusion-reaction problems, just to name a few. Given the early conn- tion between ?nite element methods and problems engendered by energy minimi- tion principles, it is not surprising that the ?rst mathematical analyses of ?nite e- ment methods were given in the environment of the classical Rayleigh–Ritz setting. Yet again, using the fertile soil provided by functional analysis in Hilbert spaces, it did not take long for the rigorous analysis of ?nite element methods to be extended to many other settings. Today, ?nite element methods are unsurpassed with respect to their level of theoretical maturity.

Table of contents:

  1. Front Matter

  2. Survey of Variational Principles and Associated Finite Element Methods

  3. Classical Variational Methods

  4. Alternative Variational Formulations

  5. Abstract Theory of Least-Squares Finite Element Methods

  6. Mathematical Foundations of Least-Squares Finite Element Methods

  7. The Agmon–Douglis–Nirenberg Setting for Least-Squares Finite Element Methods

  8. Least-Squares Finite Element Methods for Elliptic Problems

  9. Scalar Elliptic Equations

  10. Vector Elliptic Equations

  11. The Stokes Equations

  12. Least-Squares Finite Element Methods for Other Settings

  13. The Navier–Stokes Equations

  14. Parabolic Partial Differential Equations

  15. Hyperbolic Partial Differential Equations

  16. Control and Optimization Problems

  17. Variations on Least-Squares Finite Element Methods

  18. Supplementary Material

  19. Analysis Tools

  20. Compatible Finite Element Spaces

  21. Linear Operator Equations in Hilbert Spaces

  22. The Agmon–Douglis–Nirenberg Theory and Verifying its Assumptions

  23. Back Matter

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Tags: Pavel B Bochev, Max D Gunzburger, Least, Squares, Finite, Element, Methods

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