Zobrazeno 1 - 10
of 130
pro vyhledávání: '"Gao, David Y."'
Autor:
Ali, Elaf J., Gao, David Y.
This paper presents a new methodology and algorithm for solving post buckling problems of a large deformed elastic beam. The total potential energy of this beam is a nonconvex functional, which can be used to model both pre- and post-buckling phenome
Externí odkaz:
http://arxiv.org/abs/1609.04675
Autor:
Jin, Zhong, Gao, David Y
We study a canonical duality method to solve a mixed-integer nonconvex fourth-order polynomial minimization problem with fixed cost terms. This constrained nonconvex problem can be transformed into a continuous concave maximization dual problem witho
Externí odkaz:
http://arxiv.org/abs/1607.04748
Autor:
Jin, Zhong, Gao, David Y
This paper presents a canonical d.c. (difference of canonical and convex functions) programming problem, which can be used to model general global optimization problems in complex systems. It shows that by using the canonical duality theory, a large
Externí odkaz:
http://arxiv.org/abs/1607.03426
Autor:
Gao, David Y.
This paper revisits a well-studied anti-plane shear deformation problem formulated by Knowles in 1976 and analytical solutions in general nonlinear elasticity proposed by Gao since 1998. Based on minimum potential principle, a well-determined fully n
Externí odkaz:
http://arxiv.org/abs/1507.08748
Canonical duality-triality is a breakthrough methodological theory, which can be used not only for modeling complex systems within a unified framework, but also for solving a wide class of challenging problems from real-world applications. This paper
Externí odkaz:
http://arxiv.org/abs/1410.2665
Autor:
Gao, David Y
This paper presents a pure complementary energy variational method for solving anti-plane shear problem in finite elasticity. Based on the canonical duality-triality theory developed by the author, the nonlinear/nonconex partial differential equation
Externí odkaz:
http://arxiv.org/abs/1402.6025
Autor:
Latorre, Vittorio, Gao, David Y.
This paper presents a canonical duality theory for solving a general nonconvex constrained optimization problem within a unified framework to cover Lagrange multiplier method and KKT theory. It is proved that if both target function and constraints p
Externí odkaz:
http://arxiv.org/abs/1310.2014
Autor:
Chen, Yi, Gao, David Y
This paper presents a canonical dual approach for solving a nonconvex global optimization problem governed by a sum of fourth-order polynomial and a log-sum-exp function. Such a problem arises extensively in engineering and sciences. Based on the can
Externí odkaz:
http://arxiv.org/abs/1308.4732
Autor:
Chen, Yi, Gao, David Y.
This paper presents global optimal solutions to a nonconvex quadratic minimization problem over a sphere constraint. The problem is well-known as a trust region subproblem and has been studied extensively for decades. The main challenge is the so cal
Externí odkaz:
http://arxiv.org/abs/1308.4450
Post buckling problem of a large deformed beam is analyzed using canonical dual finite element method (CD-FEM). The feature of this method is to choose correctly the canonical dual stress so that the original non-convex potential energy functional is
Externí odkaz:
http://arxiv.org/abs/1302.4136