80 citations · 273 across the 41 of their papers we have counts for
42 papers
Canonical Duality Theory and Algorithm for Solving Bilevel Knapsack Problems with Applications
David Yang Gao
A novel canonical duality theory (CDT) is presented for solving general bilevel mixed integer nonlinear optimization governed by linear and quadratic knapsack problems. It shows th…
A Novel Canonical Duality Theory for Solving 3-D Topology Optimization Problems
David Yang Gao, Elaf Jaafar Ali
This paper demonstrates a mathematically correct and computationally powerful method for solving 3D topology optimization problems. This method is based on canonical duality theory…
On Modelling and Complete Solutions to General Fixpoint Problems in Multi-Scale Systems with Applications
Ning Ruan, David Yang Gao
This paper revisits the well-studied fixed point problem from a unified viewpoint of mathematical modeling and canonical duality theory, i.e. the original problem is first reformul…
On Topology Optimization and Canonical Duality Method
David Yang Gao
Topology optimization for general materials is correctly formulated as a bi-level knapsack problem, which is considered to be NP-hard in global optimization and computer science. B…
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…