Interface-aware numerical methods for stochastic inverse problems. This project aims to design novel high-performance numerical tools for solving large-scale forward and inverse problems dominated by stochastic interfaces and quantifying associated uncertainties. In real-world applications such as groundwater, these tools are instrumental for assimilating big datasets into mathematical models for providing reliable predictions. By advancing and integrating high-order polytopal schemes, multileve ....Interface-aware numerical methods for stochastic inverse problems. This project aims to design novel high-performance numerical tools for solving large-scale forward and inverse problems dominated by stochastic interfaces and quantifying associated uncertainties. In real-world applications such as groundwater, these tools are instrumental for assimilating big datasets into mathematical models for providing reliable predictions. By advancing and integrating high-order polytopal schemes, multilevel methods, transport maps, and dimension reduction, this project's anticipated outcomes are highly accurate and cost-efficient numerical schemes, certified by rigorous mathematical analysis. This should provide data-centric simulation tools with enhanced reliability, for engineering and scientific applications.Read moreRead less
Novel Mathematics and Efficient Computational Techniques for Human Vision. This project aims to develop a new mathematical framework to understand elastic properties of human corneas. The project expects to generate new knowledge in understanding bio-mechanical models for human corneas, as well as other engineering applications involving materials with random fluctuations of elasticity. Expected outcomes of this project include new mathematics and computational algorithms for solving complex mat ....Novel Mathematics and Efficient Computational Techniques for Human Vision. This project aims to develop a new mathematical framework to understand elastic properties of human corneas. The project expects to generate new knowledge in understanding bio-mechanical models for human corneas, as well as other engineering applications involving materials with random fluctuations of elasticity. Expected outcomes of this project include new mathematics and computational algorithms for solving complex mathematical equations which describe elastic and hyper-elastic materials such as human corneas. This project will benefit Australia by enhancing the standing in cutting edge research trends in computational mathematics such as uncertainty quantification and machine learning.Read moreRead less
Mathematics for breaking limits of speed and density in magnetic memories. The aim of this project is to develop a mathematical theory and numerical models of stochastic partial differential equations for magnetic nano-structures. Such materials will yield next-generation magnetic memories with up to three orders of magnitude faster switching speeds and dramatically increased data storage density. New mathematical theories will help understand their sensitivity to small random fluctuations that ....Mathematics for breaking limits of speed and density in magnetic memories. The aim of this project is to develop a mathematical theory and numerical models of stochastic partial differential equations for magnetic nano-structures. Such materials will yield next-generation magnetic memories with up to three orders of magnitude faster switching speeds and dramatically increased data storage density. New mathematical theories will help understand their sensitivity to small random fluctuations that can destroy stored information. This project aims to revolutionise mathematical modelling of magnetic memories and put Australia at the forefront of international research. Technological advances to create much smaller and faster memory devices are expected to enable groundbreaking ways of managing and mining big data.Read moreRead less
Mathematical and Numerical Models of Piezoelectric Wave Energy Converters. The project will investigate piezoelectric wave energy converters. We will derive the equations of motion in a form suitable for use in marine engineering paradigms using variational methods and then solve these analytically and with smoothed particle hydrodynamics. Using these innovative techniques, this project will generate new knowledge capable of elucidating the multifaceted physical phenomena that occur when comple .... Mathematical and Numerical Models of Piezoelectric Wave Energy Converters. The project will investigate piezoelectric wave energy converters. We will derive the equations of motion in a form suitable for use in marine engineering paradigms using variational methods and then solve these analytically and with smoothed particle hydrodynamics. Using these innovative techniques, this project will generate new knowledge capable of elucidating the multifaceted physical phenomena that occur when complex fluid motion and deformable structures interact. The project outcomes include the development of mathematical and computation methods to handle intricate behaviours of piezoelectric elastic-fluids systems. These groundbreaking methods will allow these wave energy systems to be analysed and their effectiveness assessed.Read moreRead less
Uncertainty on spheres and shells: mathematics and methods for applications. This project aims to develop new mathematics and mathematically rigorous approximation methods for physical problems on spherical geometries in the presence of uncertainty. Many physical phenomena are modelled on either a sphere or a spherical shell. Such models typically have large uncertainty in the input data, through uncertainty in model coefficients, forcing terms, geometry or boundary conditions. Yet their stochas ....Uncertainty on spheres and shells: mathematics and methods for applications. This project aims to develop new mathematics and mathematically rigorous approximation methods for physical problems on spherical geometries in the presence of uncertainty. Many physical phenomena are modelled on either a sphere or a spherical shell. Such models typically have large uncertainty in the input data, through uncertainty in model coefficients, forcing terms, geometry or boundary conditions. Yet their stochastic modelling and subsequent numerical analysis in the presence of uncertainty are still in their infancy. This project will conduct numerical analysis, stochastic analysis and approximation to address such problems.Read moreRead less
New photoinitiators and polymers for tack-free LED cured surface coatings. This project aims to develop surface coatings curable by energy from Light Emitting Diodes (LEDS) by overcoming existing hurdles, while improving workplace health and safety.
The project expects to achieve this by developing a new class of photoinitiator molecules, with enhanced reactivity, via a unique understanding of synthesis, photochemistry and commercial coatings formulation.
Outcomes will be new surface coatings ....New photoinitiators and polymers for tack-free LED cured surface coatings. This project aims to develop surface coatings curable by energy from Light Emitting Diodes (LEDS) by overcoming existing hurdles, while improving workplace health and safety.
The project expects to achieve this by developing a new class of photoinitiator molecules, with enhanced reactivity, via a unique understanding of synthesis, photochemistry and commercial coatings formulation.
Outcomes will be new surface coatings for a wide range of end uses, publication in high ranking journals and commercialisation of the technology.
Benefits of this project will include elimination of mercury and reduction in exposure to solvents in the Australian workplace, and a lower energy requirement to produce high-quality surface coated products.Read moreRead less
Propagation via nonlinear partial differential equations. This project aims to develop new theories in nonlinear partial differential equations to better understand propagation phenomena. Propagation occurs in various forms, such as the spreading of invasive species, infectious diseases or cancer cells, or the progression of the healing front of a wound. This project aims to understand propagation speed and profile, criteria for spreading and vanishing, and other qualitative properties of the eq ....Propagation via nonlinear partial differential equations. This project aims to develop new theories in nonlinear partial differential equations to better understand propagation phenomena. Propagation occurs in various forms, such as the spreading of invasive species, infectious diseases or cancer cells, or the progression of the healing front of a wound. This project aims to understand propagation speed and profile, criteria for spreading and vanishing, and other qualitative properties of the equations. The project will develop new mathematical theories, and build bridges between the theories and applications.Read moreRead less
All-solid-state: new hybrid materials for next-generation lithium batteries. The aim of the project is an economically viable design for “all-solid-state” rechargeable batteries. Eliminating organic liquid electrolytes from lithium-ion batteries will dramatically increase safety, range of operating conditions, lifetimes, and energy density. The key technical challenge is keeping solid-solid interfaces intact over thousands of charge/discharge cycles. We will address this by inserting inorganic i ....All-solid-state: new hybrid materials for next-generation lithium batteries. The aim of the project is an economically viable design for “all-solid-state” rechargeable batteries. Eliminating organic liquid electrolytes from lithium-ion batteries will dramatically increase safety, range of operating conditions, lifetimes, and energy density. The key technical challenge is keeping solid-solid interfaces intact over thousands of charge/discharge cycles. We will address this by inserting inorganic interfacial layers that change smoothly from hard ceramic to flexible glass and back again, through rigorous chemical design and synthetic control. This will reduce the stress that causes mechanical failure, while increasing chemical stability so that the latest generation of high-power electrodes can be brought into service.Read moreRead less
'Multi-Coloured' Tracers for Magnetic Particle Imaging . Magnetic Particle Imaging (MPI) is predicted to be the future of imaging and will outperform all current imaging techniques by having 'colours', improved resolution and 3D precision. This project aims to create 'multi-coloured' high-performance MPI tracers by synthesising a range of the most effective magnetic nanoparticle structures. The expected outcome is the fundamental understanding of the relationships between nanoparticle structures ....'Multi-Coloured' Tracers for Magnetic Particle Imaging . Magnetic Particle Imaging (MPI) is predicted to be the future of imaging and will outperform all current imaging techniques by having 'colours', improved resolution and 3D precision. This project aims to create 'multi-coloured' high-performance MPI tracers by synthesising a range of the most effective magnetic nanoparticle structures. The expected outcome is the fundamental understanding of the relationships between nanoparticle structures and their magnetic properties for the formation of MPI signals with distinct ‘colours’. The benefits will be a library of MPI tracers that are able to provide ‘coloured’, high intensity, precise signals beyond what can be achieved with other imaging technologies.Read moreRead less