Nonsmooth Optimization in Constrained Spline Interpolation. Traditional methods based on standard calculus may not work for optimization problems with constraints; however, such problems can be reformulated as nonsmooth problems that need special treatment. The project aims to approach several important problems in constrained spline interpolation and approximation, from the perspective of nonsmooth optimization. The research, which builds upon a recent breakthrough in the approach to the convex ....Nonsmooth Optimization in Constrained Spline Interpolation. Traditional methods based on standard calculus may not work for optimization problems with constraints; however, such problems can be reformulated as nonsmooth problems that need special treatment. The project aims to approach several important problems in constrained spline interpolation and approximation, from the perspective of nonsmooth optimization. The research, which builds upon a recent breakthrough in the approach to the convex best interpolation by the applicant and his collaborators, is expected to provide fundamental theory for Newton-type methods being used for these problems with a vast number of applications in data fitting and curve and surface design.Read moreRead less
A Robust Optimization Technique for Identifying Geomechanical Parameters Using In-situ Measurements. The aim of this project is to develop a robust optimisation technique for identifying geomechanical parameters for subsequent stability analysis of rock structures in particular open pits. The development involves a novel solution method based on current work in finite element method and large-scale optimisation with partial differential equation constraints. The outcomes of the project will prov ....A Robust Optimization Technique for Identifying Geomechanical Parameters Using In-situ Measurements. The aim of this project is to develop a robust optimisation technique for identifying geomechanical parameters for subsequent stability analysis of rock structures in particular open pits. The development involves a novel solution method based on current work in finite element method and large-scale optimisation with partial differential equation constraints. The outcomes of the project will provide a sophisticated numerical technique for geotechnical engineers/scientists to determine geomechanical parameters accurately from in-situ observation and displacement measurements, leading to the optimal design of rock structures in subsequent analysis.Read moreRead less
Unified approach for the stability analysis of large concrete dams due to ageing degradation. The expected outcome of this research is the availability of an innovative methodology for the safety assessment of aged concrete dams. Most of the concrete dams built in Australia and elsewhere have been in service for over 50 years. Degradation effects on aged concrete dams, and resistant ability of such aged concrete dams against hostile natural events, such as earthquakes, are of great concern for e ....Unified approach for the stability analysis of large concrete dams due to ageing degradation. The expected outcome of this research is the availability of an innovative methodology for the safety assessment of aged concrete dams. Most of the concrete dams built in Australia and elsewhere have been in service for over 50 years. Degradation effects on aged concrete dams, and resistant ability of such aged concrete dams against hostile natural events, such as earthquakes, are of great concern for engineers. The safety assessment of aged concrete dams can be done rationally by the proposed method which will provide a better knowledge of the ageing effects on concrete dams. The approach will provide a tool for rational decision-making as to the structural rehabilitation of large concrete dams affected by ageing degradation.Read moreRead less