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| Textbook and resources |
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- Official textbook for class is
Finite Elements : Theory, Fast Solvers, and Applications in Solid Mechanics
by Dietrich Braess,
Cambridge University Press; 3rd edition, 2007
ISBN-13: 9780521705189
Please note that this information applies to the Paperback (III Edition).
A used version of the Hardcover version or Second Edition *may* also work.
- I will not follow the book religiously but rather use it for
background information. We will cover roughly material from Chapters
II, some from I and III, IV. Some topics (like FE for time dependent
problems) will be discussed but are not covered in the book.
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Please get a hold of the paper J. Alberty,
C. Carstensen\ and\ S. A. Funken, Numer. Algorithms {\bf 20} (1999),
no.~2-3, 117--137; MR 1709562 and the ACF software available from
'Software' link from the Author's webpage
or from www.netlib.org (search
for author's name).
- Other textbooks/monographs (each of a very different flavor) are
recommended as supplementary material
- "Numerical solution of partial differential equations by the
finite element method", Claes Johnson, Cambridge University Press,
1987.
- "The mathematical theory of finite element methods", Susanne
C. Brenner, L. Ridgway Scott, New York : Springer, 2002.
- "Finite Elements and Fast Iterative Solvers with applications to incompressible fluid dynamics",
H. Elman, D. Silvester, A. Wathen, Oxford Science Publishers, 2005
- The classic gem by Becker, Carey, Oden: "Finite Elements" Vol I-VI. Prentice-Hall, 1983
(out of print)
- Another classic approach, this one for parabolic problems: "Galerkin Finite Element
Methods for Parabolic Problems", Vidar Thomee, Springer 2006
- Ciarlet's book reprinted by SIAM:
P. G. Ciarlet: "The Finite Element Method for Elliptic Problems",
SIAM, 2002 (Originally published by North Holland, 1980).
- "Finite Element Methods and Their Applications" (Scientific Computation) (Hardcover)
by Zhangxin Chen (Springer, 2005)
- "Numerical approximation of partial differential equations", by Alfio
Quarteroni, Alberto Valli, Springer-Verlag, 1994
- The first texbook on FE: "An analysis of the finite element method", Gilbert Strang and
George J. Fix. Prentice-Hall, 1973
- Class notes on
Variational Method in Hilbert Space
by Ralph E. Showalter
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