Advanced Primal-Dual Interior-Point Method for the Method of Moving Asymptotes Conferences

abstract

• The Method of Moving Asymptotes (MMA) is one of the well-known optimization algorithms for topology optimization due to its stable numerical performance. Here, this paper simplifies the MMA algorithm by considering the features of topology optimization problem statements and presents a strategy to solve the necessary subproblems based on the primal-dual-interior-point method to further enhance numerical performance. A new scaling mechanism is also introduced to improve searching quality by utilizing the sensitivities of the original problems at the beginning of each MMA iteration. Numerical examples of solving both mathematical problems and topology optimization problems demonstrate the success of this method.

authors

• Li, Daozhong
• Roper, Stephen
• Kim, Il Yong

status

• published 

publication date

• August 26, 2018

published in

• Volume 1A: 38th Computers and Information in Engineering Conference  Journal

presented at event

• ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference  Conference

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4903 Numerical and Computational Mathematics

Digital Object Identifier (DOI)

• 10.1115/detc2018-85379

start page

• v01at02a004

end page

• v01at02a004