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Computational methods for multi-scale structural optimisation

Structural optimisation is a powerful computational methodology for finding high-performing designs for structural components or material architectures. For example, what periodic scaffold would provide the highest possible stiffness for its weight?Solving such a problem computationally requires an understanding of the relevant equations required to model the physical properties of interest, as well as efficient implementation of a range of numerical methods including finite elements, finite differences and optimisation.With recent developments in 3D printing technologies it is now possible to manufacture …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)

Recreating porous geometries from micro CT scan data

The aim of this research is to determine the virtual morphology of a heterogeneous porous medium from a micro computed tomography (micro-CT) scanner dataset.We'll use the 3D imaging facilities at QUT's Institute of Future Environments (IFE) for data capture.

Study level
Master of Philosophy, Honours
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)

New mathematical and computational techniques for partial differential equations in heterogeneous media

Mathematical models involving both partial differential equations (PDEs) and heterogeneous media are useful for simulating many important physical processes. This includes:groundwater flowpollutant transportheat transferdrug deliverytumour growth.This project focuses on developing new mathematical and computational techniques to solve, simulate and/or analyse PDEs in heterogeneous media.

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)

Optimising long-term management strategies for ecosystem conservation

Many ecosystems around the world can't withstand the stress of climate change with their decline being rapid and ongoing. New technologies must be developed to conserve these threatened ecosystems. This need poses a new mathematical challenge, as no methods exist to select and develop new conservation technologies that will secure ecosystems into the future.Technology development usually has two phases:choosing what technologies to developmaking a distinct choice years later about how the technologies will be deployed.Better and more cost-efficient choices now …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)
Centre for Data Science

Developing optimal management approaches to sustain the Great Barrier Reef

The Great Barrier Reef is under significant threat from climate change.There are many options for management approaches to help sustain the reef, and many more are being developed. However, optimally planning these management actions is a difficult mathematical problem as they need to deploy over a large scale. This results in long timeframes for developing and executing these actions.This project will involve adapting the Modern Portfolio Theory to develop optimal management approaches to sustain the Great Barrier Reef.Modern Portfolio Theory …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)
Centre for Data Science

Optimal monitoring of Antarctic ecosystems

The biodiversity of Antarctica is threatened by a changing climate, increase in tourist numbers and invasive species. Governments around the world want to conserve this continent's unique species and ecosystems, but careful planning is needed before undertaking expensive and difficult management actions.Data is only valuable when planning environmental management if it leads to improved outcomes. As new monitoring technologies and approaches are developed, it's critical that they're used to focus on the most important information gaps. Data should be rapidly …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)
Centre for Data Science

Considering economics when prioritising species conservation

There are limited funds available for saving threatened species globally. Investing that money wisely can help ecologists and the government achieve more bang for their buck, and help more species and ecosystems.We can use many approaches  to help guide those investment decisions, including mathematical optimisation and operations research. However better considerations of economic factors are needed in order to reflect the complexity of real ecosystems and governments.

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
School
School of Mathematical Sciences
Research centre(s)
Centre for Data Science

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