Edit Profile (opens in new tab) Carr, Elliot Joseph Compute Distance To: Compute Author ID: carr.elliot-joseph Published as: Carr, Elliot J.; Carr, E. J.; Carr, Elliot Joseph more...less Documents Indexed: 18 Publications since 2010 Co-Authors: 11 Co-Authors with 16 Joint Publications 242 Co-Co-Authors all top 5 Co-Authors 2 single-authored 10 Turner, Ian William 4 Perré, Patrick 3 March, Nathan G. 2 Pontrelli, Giuseppe 2 Simpson, Matthew J. 1 Ilić, Miloš 1 Moroney, Timothy J. 1 Moroney, Timothy John 1 Oliver, Dylan J. 1 VandenHeuvel, Daniel J. 1 Wilson, Joshua M. all top 5 Serials 4 Applied Mathematical Modelling 2 Journal of Computational Physics 2 Mathematical Biosciences 2 Applied Mathematics and Computation 2 The ANZIAM Journal 1 Physica A 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Multiscale Modeling & Simulation 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 8 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 5 Partial differential equations (35-XX) 5 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 62 times in 36 Documents Cited by ▼ Year ▼ A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers. Zbl 1471.74014Carr, Elliot J.; Turner, I. W. 11 2016 The extended distributed microstructure model for gradient-driven transport: a two-scale model for bypassing effective parameters. Zbl 1373.76333Carr, E. J.; Perré, P.; Turner, I. W. 7 2016 Semi-analytical solution of multilayer diffusion problems with time-varying boundary conditions and general interface conditions. Zbl 1427.35106Carr, Elliot J.; March, Nathan G. 7 2018 Two-scale computational modelling of water flow in unsaturated soils containing irregular-shaped inclusions. Zbl 1352.76110Carr, E. J.; Turner, I. W. 6 2014 A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: application to wood drying. Zbl 1286.76110Carr, E. J.; Turner, I. W.; Perré, P. 6 2013 Efficient simulation of unsaturated flow using exponential time integration. Zbl 1419.76494Carr, E. J.; Moroney, T. J.; Turner, I. W. 5 2011 A dual-scale modeling approach for drying hygroscopic porous media. Zbl 1267.76106Carr, E. J.; Turner, I. W.; Perré, P. 5 2013 Macroscale modelling of multilayer diffusion: using volume averaging to correct the boundary conditions. Zbl 1446.74011Carr, Elliot J.; Turner, I. W.; Perré, Patrick 4 2017 Modelling mass diffusion for a multi-layer sphere immersed in a semi-infinite medium: application to drug delivery. Zbl 1405.92115Carr, Elliot J.; Pontrelli, Giuseppe 3 2018 Finite volume schemes for multilayer diffusion. Zbl 1402.65092March, Nathan G.; Carr, Elliot J. 2 2019 Krylov subspace approximations for the exponential Euler method: error estimates and the harmonic Ritz approximant. Zbl 1386.65130Carr, Elliot Joseph; Turner, Ian; Ilic, Milos 2 2010 Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media. Zbl 1481.76207Carr, Elliot J. 2 2021 Drug delivery from microcapsules: how can we estimate the release time? Zbl 1425.92094Carr, Elliot J.; Pontrelli, Giuseppe 1 2019 A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media. Zbl 1481.74636March, Nathan G.; Carr, Elliot J.; Turner, Ian W. 1 2021 Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media. Zbl 1481.76207Carr, Elliot J. 2 2021 A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media. Zbl 1481.74636March, Nathan G.; Carr, Elliot J.; Turner, Ian W. 1 2021 Finite volume schemes for multilayer diffusion. Zbl 1402.65092March, Nathan G.; Carr, Elliot J. 2 2019 Drug delivery from microcapsules: how can we estimate the release time? Zbl 1425.92094Carr, Elliot J.; Pontrelli, Giuseppe 1 2019 Semi-analytical solution of multilayer diffusion problems with time-varying boundary conditions and general interface conditions. Zbl 1427.35106Carr, Elliot J.; March, Nathan G. 7 2018 Modelling mass diffusion for a multi-layer sphere immersed in a semi-infinite medium: application to drug delivery. Zbl 1405.92115Carr, Elliot J.; Pontrelli, Giuseppe 3 2018 Macroscale modelling of multilayer diffusion: using volume averaging to correct the boundary conditions. Zbl 1446.74011Carr, Elliot J.; Turner, I. W.; Perré, Patrick 4 2017 A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers. Zbl 1471.74014Carr, Elliot J.; Turner, I. W. 11 2016 The extended distributed microstructure model for gradient-driven transport: a two-scale model for bypassing effective parameters. Zbl 1373.76333Carr, E. J.; Perré, P.; Turner, I. W. 7 2016 Two-scale computational modelling of water flow in unsaturated soils containing irregular-shaped inclusions. Zbl 1352.76110Carr, E. J.; Turner, I. W. 6 2014 A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: application to wood drying. Zbl 1286.76110Carr, E. J.; Turner, I. W.; Perré, P. 6 2013 A dual-scale modeling approach for drying hygroscopic porous media. Zbl 1267.76106Carr, E. J.; Turner, I. W.; Perré, P. 5 2013 Efficient simulation of unsaturated flow using exponential time integration. Zbl 1419.76494Carr, E. J.; Moroney, T. J.; Turner, I. W. 5 2011 Krylov subspace approximations for the exponential Euler method: error estimates and the harmonic Ritz approximant. Zbl 1386.65130Carr, Elliot Joseph; Turner, Ian; Ilic, Milos 2 2010 all cited Publications top 5 cited Publications all top 5 Cited by 61 Authors 12 Turner, Ian William 10 Carr, Elliot Joseph 6 Perré, Patrick 4 Burrage, Kevin 4 Feng, Libo 3 Liu, Fawang 2 Itkin, Andrey 2 Lipton, Alexander 2 March, Nathan G. 2 Muravey, Dmitry 2 Roberts, Anthony John 1 Ahmed, Ragaa 1 Alotaibi, Hammad 1 Bueno-Orovio, Alfonso 1 Bunder, J. E. 1 Castrillón Vásquez, Andrés Julián 1 Cedro, J. B. 1 Chapiro, Grigori 1 Chen, Shanzhen 1 Cox, Barry James 1 Du, Huan 1 Elshehabey, Hillal M. 1 Farago, Oded 1 Farquhar, Megan E. 1 Foy, Brody H. 1 Gómez-Aguilar, José Francisco 1 Gudnason, Kristinn 1 Hu, Xiuling 1 Jiang, Lianghua 1 Jónsdóttir, Fjóla 1 Kandel, Hom N. 1 Kandolf, Peter 1 Kevrekidis, Ioannis George 1 Lawson, Brodie A. J. 1 Li, Linzhong 1 Liang, Dong 1 Lord, Gabriel James 1 Lozano, Luis Fernando 1 Mbaye, Ibrahima 1 Morales-Delgado, Victor Fabian 1 Oliver, Dylan J. 1 Ostermann, Alexander 1 Peixoto, Pedro S. 1 Pereira, Weslley S. 1 Pontrelli, Giuseppe 1 Qin, Aifang 1 Rainer, Stefan 1 Schreiber, Martin 1 Seydi, Ousmane 1 Sigurðsson, Sven Þ. 1 Simon, Laurent S. R. 1 Simpson, Matthew J. 1 Sonko, Aliou 1 Taneco-Hernández, Marco Antonio 1 Tran, Thi-Bich-Thuy 1 Weber Dos Santos, Rodrigo 1 Wright, Stephen J. 1 Wu, Gang 1 Xu, Tingting 1 Zeng, Fanhai 1 Zhang, Lu all top 5 Cited in 20 Serials 6 Journal of Computational Physics 5 Applied Mathematical Modelling 3 Mathematical Biosciences 3 Physica A 3 Applied Mathematics and Computation 2 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Engineering Mathematics 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Quaestiones Mathematicae 1 Applied Numerical Mathematics 1 Linear Algebra and its Applications 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Computational Geosciences 1 The ANZIAM Journal 1 Journal of Theoretical Biology 1 Journal of Function Spaces 1 Frontiers of Mathematical Finance all top 5 Cited in 15 Fields 16 Partial differential equations (35-XX) 16 Numerical analysis (65-XX) 12 Fluid mechanics (76-XX) 6 Mechanics of deformable solids (74-XX) 5 Biology and other natural sciences (92-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year