Finite Element and Numerical Methods with Integrable / Differentiable Objects.
      
      

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    Substantial amount of excellent books are available on finite element methods. It is not difficult to search in an internet bookstore under the keywords "finite element". One particular useful book search is the web site Finite Element Books. For books with source codes, please see "Books" under IFER--Internet Finite Element Resources. The following is a narrowly focused list of books that are intensively used to lay out (1) theoretical backgrounds and (2) example problems in our on-line "Workbook of Applications in VectorSpace C++ Library". This workbook is about programming. It is more like a companion Lab book for hands-on exercises, and not for the purpose of a formal introduction of the finite element methods. VectorSpace Programming would like to give all the respective credits on the finite element methods to the books listed below. They are ordered in the intensity of being used in the workbook.

1. Zienkiewicz, O.C, and R.L. Taylor, 1989, The finite element method : basic formulation and linear problems, vol. 1, 4-th ed., McGraw-Hill, London, UK.
2. Zienkiewicz, O.C, and R.L. Taylor, 1991, The finite element method : solid and fluid mechanics, dyanamics and non-linearity, vol. 2, 4-th ed., McGraw-Hill, London, UK.
3. Hughes, T.J.R., 1987, The finite element method : linear static and dynamic finite element analysis, Prentice-Hall, Englewood Cliffs, New Jersey.
4. Reddy, J.N., 1986, Applied functional analysis and variational methods in engineering, McGraw-Hill, New York.
5. Reddy, J.N., 1993, An introduction to the finite element method, McGraw-Hill, New York.
6. Simo, J.C., and T.J.R. Hughes, 1998, Computational inelasticity, Springer-Verlag, New York.
7. MacNeal, R.H., 1994, Finite elements : their design and Performance, Marcel Dekker, New York.
8. Belytschko, T., and T.J.R. Hughes (eds.), 1983, Computational methods for transient analysis, vol. 1, Elsevier Science Publishers B.V., Amsterdam, Netherlands.
9. Johnson, C., 1990, Numerical solution of partial differential equations by the finite element method, Cambridge University Press, Lund, Sweden.
10. Bathe, K-J., and E.L. Wilson, 1976, Numerical methods in finite element analysis, Prentice-Hall, Englewood Cliffs, New Jersey.
11. Cook, R. D., 1981, Concepts and applications of finite element analysis, 2nd ed., John Wiley & Sons, New York.
12. Crisfield, M.A., 1997, Non-linear finite element analysis of solid and structures : advanced topics, vol.2, John Wiley & Sons, New York.
13. Bonet, J., and R.D. Wood, 1997, Nonlinear continuum mechanics for finite element analysis, Cambridge University Press, UK.
14. George, P.L., 1991, Automatic mesh generation : application to finite element methods, John Wiley & Sons, Masson.
15. Brezzi, F., and M. Fortin, 1991, Mixed and hybrid finite element methods, Springer-Verlag, New York.
16. Ciarlet, P.G., 1978, The finite element method for elliptic problems, North-Holland, Amsterdam.

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