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Faculty of Science and Technology, Centre for Informatics and Applied Optimisation, Federation University Australia, Mt Helen, Victoria 3353, AustraliaMathematics Department, College of Science, University of Basrah, Basra, Iraq email [email protected]
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Thesis submitted to Federation University in February 2018; degree approved on 25 September 2018; principal supervisor David Gao.
References
[1]
Ali, E. J. and Gao, D. Y., ‘Canonical finite element method for solving nonconvex variational problems to post buckling beam problem’, AIP Conf. Proc.1776(1) (2016), Article ID 090045.Google Scholar
[2]
Ali, E. J. and Gao, D. Y., ‘Improved canonical dual finite element method and algorithm for post buckling analysis of nonlinear Gao beam’, in: Canonical Duality Theory: Unified Methodology for Multidisciplinary Study (Springer, Cham, 2017), 277–289.Google Scholar
[3]
Ali, E. J. and Gao, D. Y., ‘On SDP method for solving canonical dual problem in post buckling of large deformed elastic beam’, Commun. Math. Sci.16(5) (2018), 1225–1240.Google Scholar
[4]
Gao, D. Y., ‘Canonical duality theory for topology optimization’, in: Canonical Duality-Triality: Unified Theory and Methodology for Multidisciplinary Study (eds. Gao, D. Y., Ruan, N. and Latorre, V.) (Springer, New York, 2019), 263–276.Google Scholar
[5]
Gao, D. and Ali, E. J., ‘A novel canonical duality theory for solving 3-D topology optimization problems’, in: Emerging Trends in Applied Mathematics and High-Performance Computing (eds. Singh, V. K., Gao, D. Y. and Fisher, A.) (Springer, New York, 2019), 209–246.Google Scholar