A study on the computational effort of hyper-dual numbers to evaluate derivatives in geometrically nonlinear hyperelastic trusses-Reference-Cited by-同舟云学术

A study on the computational effort of hyper-dual numbers to evaluate derivatives in geometrically nonlinear hyperelastic trusses

Published:2021-01 Issue:1 Volume:43 Page:
ISSN:1678-5878
Container-title:Journal of the Brazilian Society of Mechanical Sciences and Engineering
language:en
Short-container-title:J Braz. Soc. Mech. Sci. Eng.

Author:

Endo Vitor Takashi^ORCID,Fancello Eduardo Alberto,Muñoz-Rojas Pablo Andrés

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,General Engineering,Aerospace Engineering,Automotive Engineering,Industrial and Manufacturing Engineering,Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s40430-020-02748-x.pdf

Reference25 articles.

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2. Bischof CH, Bücker HM (2000) Computing derivatives of computer programs. In: Grotendorst J (ed) Modern methods and algorithms of quantum chemistry: proceedings. NIC series, 2nd edn, vol 3. NIC-Directors, Jülich, pp 315–327. https://juser.fz-juelich.de/record/44658/files/Band_3_Winterschule.pdf

3. Bischof CH, Bücker HM, Lang B (2002) Automatic differentiation for computational finance. In: Kontoghiorghes EJ, Rustem B, Siokos S (eds) Computational methods in decision-making, economics and finance. Applied optimization, vol 74, 15th edn. Kluwer Academic Publishers, Dordrecht, pp 297–310. https://doi.org/10.1007/978-1-4757-3613-7_15

4. Burden RL, Faires JD (2010) Numerical analysis. Brooks Cole, Boston

5. Dhatt G, Touzot G (1984) The finite element displayed. Wiley, Hoboken

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