Abstract
This chapter occurs here because it is of relevance for all following sections. It is possible to skip it until the first applications are formulated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Joseph Raphson was a contemporary of Isaac Newton and contributed significantly to the development of the method that is commonly known as Newton scheme. It is said that Thomas Simpson created the well known notation from above.
References
Hackbusch, W.: Multi-Grid Methods and Applications. Springer, Berlin (1985)
Luenberger, D.G.: Linear and Nonlinear Programming. Addison-Wesley, Reading, MA (1984)
Matthies, H., Strang, G.: The solution of nonlinear finite element equations. Int. J. Num. Meth. Eng. 14, 1613–1623 (1979)
Papadrakakis, M., Ghionis, P.: Conjugate gradient algorithms in nonlinear structural analysis. Comp. Meth. Appl. Mech. Eng. 59, 11–27 (1986)
Rust, W.: Mehrgitterverfahren und Netzadaption für lineare und nichtlineare statische Finite-Elemente-Berechnungen von Flächentragwerken. Dissertation, Forschungs- u. Sem.berichte a. d. Bereich d. Mechanik d, Universität Hannover F91/2 (1991)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Rust, W. (2015). Basic Mathematical Methods. In: Non-Linear Finite Element Analysis in Structural Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-319-13380-5_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-13380-5_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13379-9
Online ISBN: 978-3-319-13380-5
eBook Packages: EngineeringEngineering (R0)