Titlebook: Canonical Duality Theory; Unified Methodology David Yang Gao,Vittorio Latorre,Ning Ruan Book 2017 Springer International Publishing AG 201

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Advances in Mechanics and Mathematicshttp://image.papertrans.cn/c/image/221335.jpg

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Thrombosis and Cerebrovascular Diseaseuch that the original nonconvex minimization problem is first reformulated as a convex–concave saddle point optimization problem, which is then solved by a quadratically perturbed primal–dual method. Numerical examples are illustrated. Comparing with the existing results, the proposed algorithm can achieve better performance.

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Michal Kopecky,Marta Vomlelova,Peter Vojtas, but also for solving a wide class of challenging problems from real-world applications. This paper presents a brief review on this theory, its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. Particular emphasis is placed on its

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Michal Kopecky,Marta Vomlelova,Peter Vojtaslly nonlinear partial differential equations in nonlinear elasticity is able to convert a unified algebraic equation, a complete set of analytical solutions are obtained in dual space for 3-D finite deformation problems governed by generalized neo-Hookean model. Both global and local extremal soluti

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Spatiotemporal Co-occurrence Rulesnical duality theory and the associated pure complementary energy principle in nonlinear elasticity proposed by Gao in (Mech Res Commun 26:31–37, 1999, [.], Wiley Encyclopedia of Electrical and Electronics Engineering, 1999, [.], Meccanica 34:169–198, 1999, [.]), we show that the general nonlinear p

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