80 citations · 273 across the 41 of their papers we have counts for
7 papers · 1 filter
Canonical Duality Theory for Topology Optimization
David Yang Gao
This paper presents a canonical duality approach for solving a general topology optimization problem of nonlinear elastic structures. By using finite element method, this most chal…
On SDP Method for Solving Canonical Dual Problem in Post Buckling of Large Deformed Elastic Beam
Elaf J. Ali, David Y. Gao
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 func…
Multiple nonsmooth solutions for nonconvex variational boundary value problems in
Xiaojun Lu, David Yang Gao
This paper presents a set of complete solutions of a nonconvex variational problem with a double-well potential. Based on the canonical duality-triality theory, the associated nonl…
Canonical dual method for mixed integer fourth-order polynomial minimization problems with fixed cost terms
Zhong Jin, David Y Gao
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…
On the extrema of a nonconvex functional with double-well potential in higher dimensions
Xiaojun Lu, David Yang Gao
This paper mainly addresses the extrema of a nonconvex functional with double-well potential in higher dimensions through the approach of nonlinear partial differential equations.…
On modeling and global solutions for d.c. optimization problems by canonical duality theory
Zhong Jin, David Y Gao
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…