[share_ebook] Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms (Springer Series in Computational Mathematics)


Author: Pierre-Arnaud Raviart, Vivette Girault

Date: 1986-08-09

Pages: 374

Publisher: Springer-Verlag

Category: Study

Tag: Mathematics


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Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms (Springer Series in Computational Mathematics)


Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms (Springer Series in Computational Mathematics)
Pierre-Arnaud Raviart, Vivette Girault | Springer-Verlag | 1986-08-09 | 374 pages | English | DJVU

This is the book to be baught if we are interested in the Finite Element Approximation of steady-state Stokes and Navier-Stokes Equations. Is a very exhaustive recopilation of mathematical and approximation results. The mathematical results are very rigorously prooven, but staying in an easy-to-read way of writing them, and the approximation results are very complete (including a complete appendix on classical finite element theory!).

The two chapters of Finite Element methods for the Stokes problem must be the most complete survay on stable elements that have been wroten, at least in the mathematical comunity, and the chapters dedicated to the Navier-Stokes equation includes all the classic results and classic tools on bifurcation phenomena and approximation results of isolated branches of solutions.

If there is something to be regreted is that the authors have not actualized the book, but anyway, the book (and the subject) is timeless. Definitively a book that any specialist and student should have.


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