Browse By Person: Carr, Elliot
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Number of items: 62.
2026
Oliver, Dylan J., Turner, Ian W., Whebell, Riley M., & Carr, Elliot J.
(2026)
Novel analytical solution of a 2D heterogeneous diffusion problem with application to determining effective diffusion tensors.
Applied Mathematical Modelling, 155, Article number: 116807.
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Carwood, Obi A. & Carr, Elliot J.
(2026)
Functionally-graded drug delivery systems with binding reactions: Analytical and stochastic approaches for the fraction of drug released.
International Journal of Heat and Mass Transfer, 260, Article number: 128455.
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Carr, Elliot J.
(2026)
Modelling and analysis of laser flash experiments using the Cattaneo heat equation.
Applied Mathematical Modelling, 155, Article number: 116727.
2025
Carr, Elliot
(2025)
Random walk models of advection-diffusion in layered media.
Applied Mathematical Modelling, 141, Article number: 115942.
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Oliver, Dylan J., Turner, Ian W., & Carr, Elliot J.
(2025)
A two-dimensional dual-grid mapping method to simulate contaminant transport in heterogeneous groundwater systems.
Computers and Geotechnics, 179, Article number: 106999.
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2024
Carr, Elliot J.
(2024)
Total fraction of drug released from diffusion-controlled delivery systems with binding reactions.
International Journal of Heat and Mass Transfer, 229, Article number: 125712.
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Carr, Elliot J. & Pontrelli, Giuseppe
(2024)
Modelling functionalized drug release for a spherical capsule.
International Journal of Heat and Mass Transfer, 222, Article number: 125065.
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Oliver, Dylan J., Turner, Ian W., & Carr, Elliot J.
(2024)
Dual-grid mapping method for the advection-diffusion-reaction equation in a heterogeneous medium.
Computers and Mathematics with Applications, 154, pp. 78-90.
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Warne, David, Maclaren, Oliver, Carr, Elliot, Simpson, Matthew, & Drovandi, Chris
(2024)
Generalised likelihood profiles for models with intractable likelihoods.
Statistics and Computing, 34(1), Article number: 50.
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2023
Filippini, Luke P., Simpson, Matthew J., & Carr, Elliot J.
(2023)
Simplified models of diffusion in radially-symmetric geometries.
Physica A: Statistical Mechanics and its Applications, 626, Article number: 129067.
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Lin, Ying-Fan, Huang, Junqi, Carr, Elliot J., Hsieh, Tung-Chou, Zhan, Hongbin, & Yu, Hwa-Lung
(2023)
A temporally relaxed theory of physically or chemically non-equilibrium solute transport in heterogeneous porous media.
Journal of Hydrology, 620(Part B), Article number: 129432.
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Carr, Elliot J. & Filippini, Luke P.
(2023)
Analytical formulas for calculating the thermal diffusivity of cylindrical shell and spherical shell samples.
International Journal of Heat and Mass Transfer, 202, Article number: 123693.
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2022
Carr, Elliot J.
(2022)
Exponential and Weibull models for spherical and spherical-shell diffusion-controlled release systems with semi-absorbing boundaries.
Physica A: Statistical Mechanics and its Applications, 605, Article number: 127985.
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Murray, Hamish S., Drovandi, Christopher, Carr, Elliot J., & Corry, Paul
(2022)
Statistical modelling of goalkicking performance in the Australian Football League.
Journal of Science and Medicine in Sport, 25(8), pp. 690-695.
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Klowss, Jonah J., Browning, Alexander P., Murphy, Ryan J., Carr, Elliot J., Plank, Michael J., Gunasingh, Gency, Haass, Nikolas K., & Simpson, Matthew J.
(2022)
A stochastic mathematical model of 4D tumour spheroids with real-time fluorescent cell cycle labelling.
Journal of the Royal Society, Interface, 19(189), Article number: 20210903.
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Carr, Elliot J, Vandenheuvel, Daniel J, Wilson, Joshua M, & Simpson, Matthew J
(2022)
Mean exit time in irregularly-shaped annular and composite disc domains.
Journal of Physics A: Mathematical and Theoretical, 55(10), Article number: 105002.
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Carr, Elliot J., Oliver, Dylan, & Simpson, Matthew J.
(2022)
Approximate analytical solution for transient heat and mass transfer across an irregular interface.
Communications in Nonlinear Science and Numerical Simulation, 108, Article number: 106211.
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2021
Psaltis, Steven, Kumar, Chandan, Turner, Ian, Carr, Elliot J., Farrell, Troy, Brancheriau, Loic, Bailleres, Henri, & Lee, David J.
(2021)
A new approach for predicting board MOE from increment cores.
Annals of Forest Science, 78(3), Article number: 78.
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March, Nathan G., Carr, Elliot J., & Turner, Ian W.
(2021)
Numerical Investigation into Coarse-Scale Models of Diffusion in Complex Heterogeneous Media.
Transport in Porous Media, 139(3), pp. 467-489.
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Simpson, Matthew J., Browning, Alexander P., Drovandi, Christopher, Carr, Elliot J., Maclaren, Oliver J., & Baker, Ruth E.
(2021)
Profile likelihood analysis for a stochastic model of diffusion in heterogeneous media.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 477(2250), Article number: 20210214.
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Carr, Elliot J.
(2021)
Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media.
Applied Mathematical Modelling, 94, pp. 87-97.
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Simpson, Matthew J., VandenHeuvel, Daniel J., Wilson, Joshua M., McCue, Scott W., & Carr, Elliot J.
(2021)
Mean exit time for diffusion on irregular domains.
New Journal of Physics, 23, Article number: 043030.
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March, Nathan G., Carr, Elliot J., & Turner, Ian W.
(2021)
A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media.
Applied Mathematical Modelling, 92, pp. 23-43.
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Kumar, Chandan, Psaltis, Steven, Bailleres, Henri, Turner, Ian, Brancheriau, Loic, Hopewell, Gary, Carr, Elliot J., Farrell, Troy, & Lee, David J.
(2021)
Accurate estimation of log MOE from non-destructive standing tree measurements.
Annals of Forest Science, 78(1), Article number: 8.
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Kumar, Chandan, Psaltis, Steven, Bailleres, Henri, Turner, Ian, Brancheriau, Loic, Hopewell, Gary, Carr, Elliot J., Farrell, Troy, & Lee, David J.
(2021)
Correction to: Accurate estimation of log MOE from non-destructive standing tree measurements (Annals of Forest Science, (2021), 78, 1, (8), 10.1007/s13595-021-01031-w).
Annals of Forest Science, 78(1), Article number: 17.
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2020
Carr, Elliot J.
(2020)
New semi-analytical solutions for advection-dispersion equations in multilayer porous media.
Transport in Porous Media, 135(1), pp. 39-58.
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Carr, Elliot J., Ryan, Jacob M., & Simpson, Matthew J.
(2020)
Diffusion in heterogeneous discs and spheres: New closed-form expressions for exit times and homogenization formulas.
The Journal of Chemical Physics, 153(7), Article number: 074115.
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Pontrelli, G., Carr, E. J., Tiribocchi, A., & Succi, S.
(2020)
Modeling drug delivery from multiple emulsions.
Physical Review E, 102(2), Article number: 023114.
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Carr, Elliot & Klowss, Jonah
(2020)
Finite transition times for multispecies diffusion in heterogeneous media coupled via first-order reaction networks.
Physical Review E, 102(1), Article number: 012107 12107.
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2019
Carr, Elliot
(2019)
Advection improves homogenized models of continuum diffusion in one-dimensional heterogeneous media.
Physical Review E, 100(6), Article number: 062113 062113-1-062113-7.
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Carr, Elliot & Wood, Christyn
(2019)
Rear-surface integral method for calculating thermal diffusivity: Finite pulse time correction and two-layer samples.
International Journal of Heat and Mass Transfer, 144, Article number: 118609 1-8.
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Carr, Elliot & Pontrelli, Giuseppe
(2019)
Drug delivery from microcapsules: how can we estimate the release time?
Mathematical Biosciences, 315, Article number: 108216 1-7.
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Carr, Elliot
(2019)
Rear-surface integral method for calculating thermal diffusivity from laser flash experiments.
Chemical Engineering Science, 199, pp. 546-551.
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Bailleres, Henri, Lee, David, Kumar, Chandan, Psaltis, Steven, Hopewell, Gary, Brancheriau, Loic, Turner, Ian, Farrell, Troy, Carr, Elliot, Downes, Geoff, Hogg, Bruce, Redman, Adam, Leggate, William, & Francis, Lesley
(2019)
Improving returns from southern pine plantations through innovative resource characterisation.
Forest and Wood Products Australia.
Forest and Wood Products Australia Limited (FWPA), Melbourne, VIC.
Carr, Elliot & Simpson, Matthew
(2019)
New homogenization approaches for stochastic transport through heterogeneous media.
Journal of Chemical Physics, 150(4), Article number: 044104 1-9.
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March, Nathan & Carr, Elliot
(2019)
Finite volume schemes for multilayer diffusion.
Journal of Computational and Applied Mathematics, 345, pp. 206-223.
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Mcinerney, Sean, Carr, Elliot, & Simpson, Matthew
(2019)
Parameterising continuum models of heat transfer in heterogeneous living skin using experimental data.
International Journal of Heat and Mass Transfer, 128, pp. 964-975.
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2018
Carr, Elliot & Simpson, Matthew
(2018)
Accurate and efficient calculation of response times for groundwater flow.
Journal of Hydrology, 558, pp. 470-481.
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Carr, Elliot
(2018)
Characteristic time scales for diffusion processes through layers and across interfaces.
Physical Review E, 97(4), Article number: 042115 1-9.
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Redman, Adam, Bailleres, Henri, Gilbert, Benoit, Carr, Elliot, Turner, Ian, & Perre, Patrick
(2018)
Finite element analysis of stress-related degrade during drying of Corymbia citriodora and Eucalyptus obliqua.
Wood Science and Technology, 52(1), pp. 67-89.
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Carr, Elliot & Pontrelli, Giuseppe
(2018)
Modelling mass diffusion for a multi-layer sphere immersed in a semi-infinite medium: application to drug delivery.
Mathematical Biosciences, 303, pp. 1-9.
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Carr, Elliot & Simpson, Matthew
(2018)
Rapid calculation of maximum particle lifetime for diffusion in complex geometries.
Journal of Chemical Physics, 148(9), Article number: 094113.
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Carr, Elliot & March, Nathan
(2018)
Semi-analytical solution of multilayer diffusion problems with time-varying boundary conditions and general interface conditions.
Applied Mathematics and Computation, 333, pp. 286-303.
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Psaltis, Steven, Turner, Ian, Carr, Elliot, Farrell, Troy, Hopewell, Gary, & Bailleres, Henri
(2018)
Three-dimensional virtual reconstruction of timber billets from rotary peeling.
Computers and Electronics in Agriculture, 152, pp. 269-280.
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2017
Carr, Elliot
(2017)
Calculating how long it takes for a diffusion process to effectively reach steady state without computing the transient solution.
Physical Review E, 96(1), Article number: 012116 1-10.
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Carr, Elliot, Turner, Ian, & Perre, Patrick
(2017)
Macroscale modelling of multilayer diffusion: using volume averaging to correct the boundary conditions.
Applied Mathematical Modelling, 47, pp. 600-618.
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Simpson, Matthew, Mcinerney, Sean, Carr, Elliot, & Cuttle, Leila
(2017)
Quantifying the efficacy of first aid treatments for burn injuries using mathematical modelling and in vivo porcine experiments.
Scientific Reports, 7, Article number: 10925 1-11.
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Redman, Adam, Bailleres, Henri, Perre, Patrick, Carr, Elliot, & Turner, Ian
(2017)
A relevant and robust vacuum-drying model applied to hardwoods.
Wood Science and Technology, 51(4), pp. 701-719.
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2016
Carr, Elliot, Perre, Patrick, & Turner, Ian
(2016)
The extended distributed microstructure model for gradient-driven transport: A two-scale model for bypassing effective parameters.
Journal of Computational Physics, 327, pp. 810-829.
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Carr, Elliot & Turner, Ian
(2016)
A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers.
Applied Mathematical Modelling, 40(15 - 16), pp. 7034-7050.
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2014
Carr, Elliot & Turner, Ian
(2014)
Two-scale computational modelling of water flow in unsaturated soils containing irregular-shaped inclusions.
International Journal for Numerical Methods in Engineering, 98(3), pp. 157-173.
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2013
Carr, Elliot
(2013)
Two-scale computational modelling of unsaturated flow in soils exhibiting small scale heterogeneities.
[Working Paper]
(Unpublished)
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Carr, Elliot, Turner, Ian, & Perre, Patrick
(2013)
A dual-scale modeling approach for drying hygroscopic porous media.
Multiscale Modeling and Simulation, 11(1), pp. 362-384.
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Carr, Elliot, Turner, Ian, & Perre, Patrick
(2013)
A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: Application to wood drying.
Journal of Computational Physics, 233(1), pp. 66-82.
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2012
Carr, Elliot J.
(2012)
Exponential integrators and a dual-scale model for wood drying.
(Unpublished)
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Carr, Elliot Joseph
(2012)
Exponential integrators and a dual-scale model for wood drying.
PhD
by Publication,
Queensland University of Technology.
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Carr, Elliot, Moroney, Timothy, & Turner, Ian
(2012)
Performance assessment of exponential Rosenbrock methods for large systems of ODEs.
The ANZIAM Journal, 54, C102-C118.
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2011
Carr, Elliot, Moroney, Timothy, & Turner, Ian
(2011)
Efficient simulation of unsaturated flow using exponential time integration.
Applied Mathematics and Computation, 217(14), pp. 6587-6596.
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Carr, Elliot, Turner, Ian, & Ilic, Milos
(2011)
Krylov subspace approximations for the exponential Euler method: error estimates and the harmonic Ritz approximant.
In
McLean, W & Roberts, T (Eds.) The ANZIAM Journal, Volume 52, Electronic Supplement: Proceedings of the 15th Biennial Computational Techniques and Applications Conference.
Cambridge University Press, United Kingdom, C612-C627.
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Carr, Elliot, Turner, Ian, & Perre, Patrick
(2011)
A new control-volume finite-element scheme for heterogeneous porous media: Application to the drying of softwood.
Chemical Engineering and Technology, 34(7), pp. 1143-1150.
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2010
Carr, Elliot, Turner, Ian, & Perre, Patrick
(2010)
A mass conservative mesoscopic drying model.
In
Mujumdar, A S (Ed.) Proceedings of the 17th International Drying Symposium.
Dechema, Germany, pp. 285-292.
2009
Carr, Elliot
(2009)
Efficient simulation of unsaturated flow in heterogeneous soils using an exponential integrator. In
QANZIAM Meeting 2009, 2009-10-24 - 2009-10-25. (Unpublished)
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