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Optimization

Project Leader(s): 

Postdoctoral fellow: Dr. Xiaodong Wang, Institute for Aerospace Studies, University of Toronto

Lead faculty member: Dr. David Zingg, Institute for Aerospace Studies, University of Toronto

Modern engineering designs require fast and high credible scientific computations which usually run in a parallel way. The proposed research focuses on the development of the parallel preconditioning technology used in large scale scientific computations. A multi-level recursive strategy is developed to improve the parallel computing performance when a large number of processors (up to at least 5000) are used. An existing Newton-Krylov flow solver will be improved by coupling with this multi-level preconditioner.

Project Leader(s): 

Postdoctoral fellow: Dr. Zhen Gao, Mechanical Engineering, University of Ontario Institute of Technology

Lead faculty member: Dr. Dan Zhang, Mechanical Engineering, University of Ontario Institute of Technology

This research develops a comprehensive methodology for the integrated optimization and control of human-friendly robotic technology that will be applied for the advanced healthcare and biomedical manipulation. Some original ideas, methods and algorithms are proposed in this research based on several novel mathematical models, which will benefit the development of general robotics in the direction of safety with high performance to human beings.

Project Leader(s): 

Dr. François Soumis, (École Polytechnique de Montréal)

Project team: 
Dr. Guy Desaulniers Guy, (École Polytechnique de Montréal)
Dr. Pierre Baptiste, (École Polytechnique de Montréal)
Dr. Jacques Desrosiers, (HEC Montréal)
Dr. Alain Hertz, (École Polytechnique de Montréal)
Dr. Sophie D’Amours, (Université Laval)
Funding period: 
April 1, 2021 - March 31, 2021
Project Leader(s): 

Dr. Anthony Vannelli, University of Guelph & Dr. Miguel F, AnjosEcole Polytechnique

Project team: 
Dr. Abdo Youssef Alfakih, University of Windsor
Dr. Kankar Bhattacharya, University of Waterloo
Dr. Claudio A. Canizares, University of Waterloo
Dr. Richard J. Caron, University of Windsor
Dr. Thomas Coleman, University of Waterloo
Dr. Tim N. Davidson, McMaster University
Dr. Antoine Deza, McMaster University
Dr. Samir Elhedhli, University of Waterloo
Dr. David Fuller, University of Waterloo
Dr. Elizabeth Jewkes, University of Waterloo
Dr. Paul McNicholas, University of Guelph
Dr. Chitra Rangan, University of Windsor
Dr. Tamás Terlaky, Lehigh University
Dr. Stephen Vavasis, University of Waterloo
Dr. Henry Wolkowicz, University of Waterloo
Dr. Guoqing Zhang, University of Windsor
Funding period: 
April 1, 2021 - March 31, 2021

Due to the explosive growth in the technology for manufacturing integrated circuits, modern chips contain millions of transistors. Using sophisticated optimization algorithms, it is possible to achieve notable increases in the performance of the chips, reduce the manufacturing costs, and produce faster, cheaper computing for society. Thus, the objective of this project is to enhance the solution of large-scale optimization problems arising in these applications.

Project Leader(s): 

Dr. David Zingg, University of Toronto

Project team: 
Dr. J.R.R.A. Martins, University of Toronto
Dr. Carl Ollivier-Gooch, University of British Columbia
Dr. Dominique Orban, Ecole Polytechnique
Dr. Luis Rodriguez, Concordia University
Non-academic participants: 
Funding period: 
October 1, 2021 - March 31, 2021

This project aims to develop state-of-the-art mathematical tools for the aerospace industry to aid in the design of more efficient aircraft. Such tools have the potential to greatly reduce the time and cost associated with the design of new aircraft, thus providing a competitive advantage to the industry. In the past year, the team made considerable progress in the development of a three-dimensional aerodynamic shape optimization algorithm. Important improvements were made to the algorithms under development, leading to improved accuracy, efficiency, and applicability.