Edit Profile (opens in new tab) Pain, Christopher C. Co-Author Distance Author ID: pain.christopher-c Published as: Pain, C. C.; Pain, Christopher C.; Pain, Christopher; Pain, C. more...less Documents Indexed: 78 Publications since 1981, including 1 Book and 5 Additional arXiv Preprints Co-Authors: 99 Co-Authors with 78 Joint Publications 865 Co-Co-Authors all top 5 Co-Authors 0 single-authored 27 Fang, Fangxin 21 Navon, Ionel Michael 16 Goddard, A. J. H. 14 Buchan, Andrew G. 14 Piggott, Matthew D. 13 de Oliveira, Cassiano R. E. 12 Gorman, Gerard J. 9 Smedley-Stevenson, Richard P. 8 Pavlidis, Dimitrios 8 Xiao, Dunhui 7 Heaney, Claire E. 7 Jackson, Matthew D. 7 Smith, Paul N. 6 Dargaville, Steven 6 Salinas, Pablo 6 Umpleby, A. P. 5 Allison, P. A. 5 Arcucci, Rossella 5 Du, Juan 5 Eaton, Matthew D. 5 Guo, Yike 5 Xiang, Jiansheng 5 Xie, Zhihua 4 Cotter, Colin John 4 Ham, David A. 4 Matar, Omar K. 3 Farrell, Patrick E. 3 Goffin, Mark A. 3 Latham, John-Paul 3 Mansoorzadeh, S. 3 Mottet, Laetitia 3 Muggeridge, Ann H. 3 Percival, James R. 3 Silva, Vinicius L. S. 2 Adam, Alexandros 2 Aristodemou, Elsa 2 Gomes, Jefferson L. M. A. 2 Kramer, Stephan C. 2 Li, Yaqi 2 Mostaghimi, Peyman 2 Neethling, Stephen J. 2 Osman, Hossam 2 Phillips, Toby R. F. 2 Reich, Sebastian 2 Wu, Pin 2 Xu, Xiao 1 Abushaikha, Ahmad S. 1 Anastasiou, Charitos 1 Angeli, Panagiota 1 ApSimon, Helen 1 Ardjmandpour, N. 1 Baker, Christopher M. J. 1 Bistrian, Diana Alina 1 Blunt, Martin J. 1 Boek, Edo S. 1 Bowsher, James 1 Cacuci, Dan Gabriel 1 Calloo, A. A. 1 Candy, A. S. 1 Chang, Xuting 1 Chen, Boyang 1 Chen, Mingxiang 1 Chen, Xiao 1 Cheng, Sibo 1 Ferrier, Richard J. 1 García, Xavier 1 Goffin, M. G. 1 Gosselin, Olivier R. 1 Gyllensten, A. J. 1 Herwanger, Jörg V. 1 Hill, Jon 1 Jacquemyn, Carl 1 Joulin, Clément 1 Li, J. 1 Li, Yuling 1 Martin, Benjamin T. 1 Matthäi, Stephan K. 1 Mezentsev, A. A. 1 Mindel, Julian 1 Molina-Solana, Miguel 1 Player, M. A. 1 Power, P. W. 1 Sakai, Mikio 1 Saunders, Jonathan H. 1 Spinneken, Johannes 1 Sun, Junwu 1 Tajnafoi, Gabor 1 Tanguy, Yann 1 Tollit, Brendan S. 1 Turelle, P. 1 Veltin, J. 1 Viré, Axelle 1 Vouriot, Carolanne 1 Wells, M. R. 1 Worthington, Michael H. 1 Yang, Jianhui 1 Yang, Liang 1 Zhang, Wenjie 1 Zhu, Jiang all top 5 Serials 15 Journal of Computational Physics 14 Computer Methods in Applied Mechanics and Engineering 11 International Journal for Numerical Methods in Fluids 6 Computers and Fluids 4 International Journal for Numerical Methods in Engineering 3 Journal of Scientific Computing 2 Computers & Mathematics with Applications 2 Transport Theory and Statistical Physics 2 Computational Geosciences 1 Biological Cybernetics 1 International Journal of Multiphase Flow 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Computational and Applied Mathematics 1 Applications of Mathematics 1 Communications in Numerical Methods in Engineering 1 International Journal of Computational Fluid Dynamics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 Mathematical Geosciences all top 5 Fields 45 Numerical analysis (65-XX) 45 Fluid mechanics (76-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Geophysics (86-XX) 7 Partial differential equations (35-XX) 7 Mechanics of deformable solids (74-XX) 6 Computer science (68-XX) 3 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 62 Publications have been cited 687 times in 388 Documents Cited by ▼ Year ▼ Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations. Zbl 1008.76041 Pain, C. C.; Umpleby, A. P.; de Oliveira, C. R. E.; Goddard, A. J. H. 59 2001 Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method. Zbl 1349.76288 Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Du, J.; Hu, G. 59 2014 Conservative interpolation between unstructured meshes via supermesh construction. Zbl 1228.76105 Farrell, P. E.; Piggott, M. D.; Pain, C. C.; Gorman, G. J.; Wilson, C. R. 50 2009 Non-intrusive reduced order modelling of the Navier-Stokes equations. Zbl 1423.76287 Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Muggeridge, A. 37 2015 A parameterized non-intrusive reduced order model and error analysis for general time-dependent nonlinear partial differential equations and its applications. Zbl 1439.65124 Xiao, D.; Fang, F.; Pain, C. C.; Navon, I. M. 33 2017 Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair. Zbl 1297.76107 Xiao, D.; Fang, F.; Du, J.; Pain, C. C.; Navon, I. M.; Buchan, A. G.; ElSheikh, A. H.; Hu, G. 32 2013 Non-intrusive reduced-order modelling of the Navier-Stokes equations based on RBF interpolation. Zbl 1455.76099 Xiao, D.; Fang, F.; Pain, C.; Hu, G. 31 2015 Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods. Zbl 1284.65132 Fang, F.; Pain, C. C.; Navon, I. M.; Elsheikh, A. H.; Du, J.; Xiao, D. 26 2013 A new computational framework for multi-scale ocean modelling based on adapting unstructured meshes. Zbl 1220.76045 Piggott, M. D.; Gorman, G. J.; Pain, C. C.; Allison, P. A.; Candy, A. S.; Martin, B. T.; Wells, M. R. 23 2008 Non-intrusive reduced order modelling of fluid-structure interactions. Zbl 1425.74167 Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M. 22 2016 A POD reduced-order 4D-Var adaptive mesh ocean modelling approach. Zbl 1163.86002 Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Farrell, P. E.; Allison, P. A.; Goddard, A. J. H. 22 2009 POD reduced-order unstructured mesh modeling applied to 2D and 3D fluid flow. Zbl 1319.76026 Du, J.; Fang, F.; Pain, C. C.; Navon, I. M.; Zhu, J.; Ham, D. A. 20 2013 A POD reduced order model for resolving angular direction in neutron/photon transport problems. Zbl 1352.82030 Buchan, A. G.; Calloo, A. A.; Goffin, M. G.; Dargaville, S.; Fang, F.; Pain, C. C.; Navon, I. M. 20 2015 Reduced-order modelling of an adaptive mesh ocean model. Zbl 1155.86004 Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Allison, P. A.; Goddard, A. J. H. 20 2009 A POD reduced-order model for eigenvalue problems with application to reactor physics. Zbl 1352.82018 Buchan, A. G.; Pain, C. C.; Fang, F.; Navon, I. M. 15 2013 A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting. Zbl 1378.74067 Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.; Chen, M. 14 2017 LBB stability of a mixed Galerkin finite element pair for fluid flow simulations. Zbl 1409.76058 Cotter, Colin J.; Ham, David A.; Pain, Christopher C.; Reich, Sebastian 14 2009 A balanced-force control volume finite element method for interfacial flows with surface tension using adaptive anisotropic unstructured meshes. Zbl 1390.76371 Xie, Zhihua; Pavlidis, Dimitrios; Salinas, Pablo; Percival, James R.; Pain, Christopher C.; Matar, Omar K. 11 2016 Data-driven reduced order model with temporal convolutional neural network. Zbl 1441.76101 Wu, Pin; Sun, Junwu; Chang, Xuting; Zhang, Wenjie; Arcucci, Rossella; Guo, Yike; Pain, Christopher C. 11 2020 Anisotropic mesh adaptivity for multi-scale ocean modelling. Zbl 1192.86009 Piggott, M. D.; Farrell, P. E.; Wilson, C. R.; Gorman, G. J.; Pain, C. C. 11 2009 Interface control volume finite element method for modelling multi-phase fluid flow in highly heterogeneous and fractured reservoirs. Zbl 1349.76163 Abushaikha, Ahmad S.; Blunt, Martin J.; Gosselin, Olivier R.; Pain, Christopher C.; Jackson, Matthew D. 10 2015 A domain decomposition non-intrusive reduced order model for turbulent flows. Zbl 1411.76072 Xiao, D.; Heaney, C. E.; Fang, F.; Mottet, L.; Hu, R.; Bistrian, D. A.; Aristodemou, E.; Navon, I. M.; Pain, C. C. 9 2019 Minimising the error in eigenvalue calculations involving the Boltzmann transport equation using goal-based adaptivity on unstructured meshes. Zbl 1311.82041 Goffin, Mark A.; Baker, Christopher M. J.; Buchan, Andrew G.; Pain, Christopher C.; Eaton, Matthew D.; Smith, Paul N. 9 2013 Modelling of fluid-structure interaction with multiphase viscous flows using an immersed-body method. Zbl 1349.76291 Yang, P.; Xiang, J.; Fang, F.; Pavlidis, D.; Latham, J.-P.; Pain, C. C. 8 2016 A domain decomposition method for the non-intrusive reduced order modelling of fluid flow. Zbl 1441.76074 Xiao, D.; Fang, F.; Heaney, C. E.; Navon, I. M.; Pain, C. C. 7 2019 A neural network graph partitioning procedure for grid-based domain decomposition. Zbl 0938.65143 Pain, C. C.; de Oliveira, C. R. E.; Goddard, A. J. H. 6 1999 An automatic adaptive meshing technique for Delaunay triangulations. Zbl 0935.65134 Xu, X.; Pain, C. C.; Goddard, A. J. H.; de Oliveira, C. R. E. 6 1998 Parameterised non-intrusive reduced order methods for ensemble Kalman filter data assimilation. Zbl 1410.76397 Xiao, D.; Du, J.; Fang, F.; Pain, C. C.; Li, J. 6 2018 Data-driven modelling of nonlinear spatio-temporal fluid flows using a deep convolutional generative adversarial network. Zbl 1442.76040 Cheng, M.; Fang, F.; Pain, C. C.; Navon, I. M. 6 2020 Optimal reduced space for variational data assimilation. Zbl 07581563 Arcucci, Rossella; Mottet, Laetitia; Pain, Christopher; Guo, Yi-Ke 6 2019 Finite element simulations of incompressible flow past a heated/cooled sphere. Zbl 0918.76037 Mansoorzadeh, S.; Pain, C. C.; de Oliveira, C. R. E.; Goddard, A. J. H. 5 1998 Higher-order conservative interpolation between control-volume meshes: application to advection and multiphase flow problems with dynamic mesh adaptivity. Zbl 1349.76164 Adam, A.; Pavlidis, D.; Percival, J. R.; Salinas, P.; Xie, Z.; Fang, F.; Pain, C. C.; Muggeridge, A. H.; Jackson, M. D. 5 2016 Adjoint a posteriori error measures for anisotropic mesh optimisation. Zbl 1206.65250 Power, P. W.; Pain, C. C.; Piggott, M. D.; Fang, F.; Gorman, G. J.; Umpleby, A. P.; Goddard, A. J. H.; Navon, I. M. 5 2006 Numerical modelling of gas-solid fluidized beds using the two-fluid approach. Zbl 0991.76087 Pain, C. C.; Mansoorzadeh, S.; de Oliveira, C. R. E.; Goddard, A. J. H. 4 2001 Goal-based angular adaptivity applied to a wavelet-based discretisation of the neutral particle transport equation. Zbl 1351.82066 Goffin, Mark A.; Buchan, Andrew G.; Dargaville, Steven; Pain, Christopher C.; Smith, Paul N.; Smedley-Stevenson, Richard P. 4 2015 Scalable angular adaptivity for Boltzmann transport. Zbl 1453.65297 Dargaville, Steven; Buchan, A. G.; Smedley-Stevenson, R. P.; Smith, P. N.; Pain, C. C. 4 2020 A POD goal-oriented error measure for mesh optimization. Zbl 1425.65096 Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A.; Goddard, A. J. H. 4 2010 Anisotropic mesh adaptivity and control volume finite element methods for numerical simulation of multiphase flow in porous media. Zbl 1323.76112 Mostaghimi, Peyman; Percival, James R.; Pavlidis, Dimitrios; Ferrier, Richard J.; Gomes, Jefferson L. M. A.; Gorman, Gerard J.; Jackson, Matthew D.; Neethling, Stephen J.; Pain, Christopher C. 3 2015 A sub-grid scale finite element agglomeration multigrid method with application to the Boltzmann transport equation. Zbl 1352.65623 Buchan, A. G.; Pain, C. C.; Umpleby, A. P.; Smedley-Stevenson, R. P. 3 2012 An adaptive mesh adjoint data assimilation method applied to free surface flows. Zbl 1134.86004 Fang, F.; Pain, C. C.; Piggott, M. D.; Gorman, G. J.; Goddard, A. J. H. 3 2005 Generalised latent assimilation in heterogeneous reduced spaces with machine learning surrogate models. Zbl 07637331 Cheng, Sibo; Chen, Jianhua; Anastasiou, Charitos; Angeli, Panagiota; Matar, Omar K.; Guo, Yi-Ke; Pain, Christopher C.; Arcucci, Rossella 3 2023 Angular adaptivity with spherical harmonics for Boltzmann transport. Zbl 1453.65420 Dargaville, S.; Buchan, A. G.; Smedley-Stevenson, R. P.; Smith, P. N.; Pain, C. C. 3 2019 The independent set perturbation adjoint method: a new method of differentiating mesh-based fluids models. Zbl 1285.76015 Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A. 3 2011 Space-time streamline upwind Petrov-Galerkin methods for the Boltzmann transport equation. Zbl 1175.76093 Pain, C. C.; Eaton, M. D.; Smedley-Stevenson, R. P.; Goddard, A. J. H.; Piggott, M. D.; De Oliveira, C. R. E. 3 2006 Streamline upwind Petrov-Galerkin methods for the steady-state Boltzmann transport equation. Zbl 1175.76094 Pain, C. C.; Eaton, M. D.; Smedley-Stevenson, R. P.; Goddard, A. J. H.; Piggott, M. D.; De Oliveira, C. R. E. 3 2006 A two-phase adaptive finite element method for solid – fluid coupling in complex geometries. Zbl 1429.76101 García, Xavier; Pavlidis, Dimitrios; Gorman, Gerard J.; Gomes, Jefferson L. M. A.; Piggott, Matthew D.; Aristodemou, Elsa; Mindel, Julian; Latham, John-Paul; Pain, Christopher C.; ApSimon, Helen 3 2011 The independent set perturbation method for efficient computation of sensitivities with applications to data assimilation and a finite element shallow water model. Zbl 1391.76322 Fang, F.; Pain, C. C.; Navon, I. M.; Cacuci, D. G.; Chen, X. 2 2013 Modelling of fluid-structure interaction for moderate Reynolds number flows using an immersed-body method. Zbl 1411.76073 Yang, P.; Xiang, J.; Fang, F.; Pavlidis, D.; Pain, C. C. 2 2019 A control volume finite element method for adaptive mesh simulation of flow in heap leaching. Zbl 1359.76188 Mostaghimi, Peyman; Tollit, Brendan S.; Neethling, Stephen J.; Gorman, Gerard J.; Pain, Christopher C. 2 2014 Adaptive Haar wavelets for the angular discretisation of spectral wave models. Zbl 1349.65502 Adam, Alexandros; Buchan, Andrew G.; Piggott, Matthew D.; Pain, Christopher C.; Hill, Jon; Goffin, Mark A. 2 2016 A high-order TVD transport method for hybrid meshes on complex geological geometry. Zbl 1155.76356 Matthäi, S. K.; Mezentsev, A. A.; Pain, C. C.; Eaton, M. D. 2 2005 Finite element based Riemann solvers for time-dependent and steady-state radiation transport. Zbl 1127.82321 Pain, C. C.; Eaton, M. D.; Bowsher, J.; Smedley-Stevenson, R. P.; Umpleby, A. P.; de Oliveira, C. R. E.; Goddard, A. J. H. 2 2003 Machine learning acceleration for nonlinear solvers applied to multiphase porous media flow. Zbl 1506.76176 Silva, V. L. S.; Salinas, P.; Jackson, M. D.; Pain, C. C. 2 2021 Reduced order borehole induction modelling. Zbl 07512419 Ardjmandpour, N.; Pain, C. C.; Fang, F.; Buchan, A. G.; Singer, J.; Player, M. A.; Xu, Xu; Navon, I. M.; Carter, J. 2 2014 Vanishing artificial diffusion as a mechanism to accelerate convergence for multiphase porous media flow. Zbl 1441.76123 Salinas, P.; Pain, C. C.; Osman, H.; Jacquemyn, C.; Xie, Z.; Jackson, M. D. 2 2020 Image-based simulations of absolute permeability with massively parallel pseudo-compressible stabilised finite element solver. Zbl 1425.76152 Yang, Liang; Yang, Jianhui; Boek, Edo; Sakai, Mikio; Pain, Christopher 2 2019 A robust mesh optimisation method for multiphase porous media flows. Zbl 1406.65072 Salinas, P.; Pavlidis, D.; Xie, Z.; Osman, H.; Pain, C. C.; Jackson, M. D. 1 2018 A new finite discrete element approach for heat transfer in complex shaped multi bodied contact problems. Zbl 1381.74197 Joulin, Clément; Xiang, Jiansheng; Latham, John-Paul; Pain, Christopher 1 2017 An automatic mesh coarsening technique for Delaunay triangulations. Zbl 0896.65098 Xu, X.; Pain, C. C.; de Oliveira, C. R. E.; Umpleby, A. P.; Goddard, A. J. H. 1 1998 Anisotropic resistivity inversion. Zbl 1055.78012 Pain, Christopher C.; Herwanger, Jörg V.; Saunders, Jonathan H.; Worthington, Michael H.; de Oliveira, Cassiano R. E. 1 2003 Data assimilation predictive GAN (DA-PredGAN) applied to a spatio-temporal compartmental model in epidemiology. Zbl 1510.68090 Silva, Vinicius L. S.; Heaney, Claire E.; Li, Yaqi; Pain, Christopher C. 1 2023 Goal-based angular adaptivity for Boltzmann transport in the presence of ray-effects. Zbl 07508370 Dargaville, S.; Smedley-Stevenson, R. P.; Smith, P. N.; Pain, C. C. 1 2020 Generalised latent assimilation in heterogeneous reduced spaces with machine learning surrogate models. Zbl 07637331 Cheng, Sibo; Chen, Jianhua; Anastasiou, Charitos; Angeli, Panagiota; Matar, Omar K.; Guo, Yi-Ke; Pain, Christopher C.; Arcucci, Rossella 3 2023 Data assimilation predictive GAN (DA-PredGAN) applied to a spatio-temporal compartmental model in epidemiology. Zbl 1510.68090 Silva, Vinicius L. S.; Heaney, Claire E.; Li, Yaqi; Pain, Christopher C. 1 2023 Machine learning acceleration for nonlinear solvers applied to multiphase porous media flow. Zbl 1506.76176 Silva, V. L. S.; Salinas, P.; Jackson, M. D.; Pain, C. C. 2 2021 Data-driven reduced order model with temporal convolutional neural network. Zbl 1441.76101 Wu, Pin; Sun, Junwu; Chang, Xuting; Zhang, Wenjie; Arcucci, Rossella; Guo, Yike; Pain, Christopher C. 11 2020 Data-driven modelling of nonlinear spatio-temporal fluid flows using a deep convolutional generative adversarial network. Zbl 1442.76040 Cheng, M.; Fang, F.; Pain, C. C.; Navon, I. M. 6 2020 Scalable angular adaptivity for Boltzmann transport. Zbl 1453.65297 Dargaville, Steven; Buchan, A. G.; Smedley-Stevenson, R. P.; Smith, P. N.; Pain, C. C. 4 2020 Vanishing artificial diffusion as a mechanism to accelerate convergence for multiphase porous media flow. Zbl 1441.76123 Salinas, P.; Pain, C. C.; Osman, H.; Jacquemyn, C.; Xie, Z.; Jackson, M. D. 2 2020 Goal-based angular adaptivity for Boltzmann transport in the presence of ray-effects. Zbl 07508370 Dargaville, S.; Smedley-Stevenson, R. P.; Smith, P. N.; Pain, C. C. 1 2020 A domain decomposition non-intrusive reduced order model for turbulent flows. Zbl 1411.76072 Xiao, D.; Heaney, C. E.; Fang, F.; Mottet, L.; Hu, R.; Bistrian, D. A.; Aristodemou, E.; Navon, I. M.; Pain, C. C. 9 2019 A domain decomposition method for the non-intrusive reduced order modelling of fluid flow. Zbl 1441.76074 Xiao, D.; Fang, F.; Heaney, C. E.; Navon, I. M.; Pain, C. C. 7 2019 Optimal reduced space for variational data assimilation. Zbl 07581563 Arcucci, Rossella; Mottet, Laetitia; Pain, Christopher; Guo, Yi-Ke 6 2019 Angular adaptivity with spherical harmonics for Boltzmann transport. Zbl 1453.65420 Dargaville, S.; Buchan, A. G.; Smedley-Stevenson, R. P.; Smith, P. N.; Pain, C. C. 3 2019 Modelling of fluid-structure interaction for moderate Reynolds number flows using an immersed-body method. Zbl 1411.76073 Yang, P.; Xiang, J.; Fang, F.; Pavlidis, D.; Pain, C. C. 2 2019 Image-based simulations of absolute permeability with massively parallel pseudo-compressible stabilised finite element solver. Zbl 1425.76152 Yang, Liang; Yang, Jianhui; Boek, Edo; Sakai, Mikio; Pain, Christopher 2 2019 Parameterised non-intrusive reduced order methods for ensemble Kalman filter data assimilation. Zbl 1410.76397 Xiao, D.; Du, J.; Fang, F.; Pain, C. C.; Li, J. 6 2018 A robust mesh optimisation method for multiphase porous media flows. Zbl 1406.65072 Salinas, P.; Pavlidis, D.; Xie, Z.; Osman, H.; Pain, C. C.; Jackson, M. D. 1 2018 A parameterized non-intrusive reduced order model and error analysis for general time-dependent nonlinear partial differential equations and its applications. Zbl 1439.65124 Xiao, D.; Fang, F.; Pain, C. C.; Navon, I. M. 33 2017 A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting. Zbl 1378.74067 Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.; Chen, M. 14 2017 A new finite discrete element approach for heat transfer in complex shaped multi bodied contact problems. Zbl 1381.74197 Joulin, Clément; Xiang, Jiansheng; Latham, John-Paul; Pain, Christopher 1 2017 Non-intrusive reduced order modelling of fluid-structure interactions. Zbl 1425.74167 Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M. 22 2016 A balanced-force control volume finite element method for interfacial flows with surface tension using adaptive anisotropic unstructured meshes. Zbl 1390.76371 Xie, Zhihua; Pavlidis, Dimitrios; Salinas, Pablo; Percival, James R.; Pain, Christopher C.; Matar, Omar K. 11 2016 Modelling of fluid-structure interaction with multiphase viscous flows using an immersed-body method. Zbl 1349.76291 Yang, P.; Xiang, J.; Fang, F.; Pavlidis, D.; Latham, J.-P.; Pain, C. C. 8 2016 Higher-order conservative interpolation between control-volume meshes: application to advection and multiphase flow problems with dynamic mesh adaptivity. Zbl 1349.76164 Adam, A.; Pavlidis, D.; Percival, J. R.; Salinas, P.; Xie, Z.; Fang, F.; Pain, C. C.; Muggeridge, A. H.; Jackson, M. D. 5 2016 Adaptive Haar wavelets for the angular discretisation of spectral wave models. Zbl 1349.65502 Adam, Alexandros; Buchan, Andrew G.; Piggott, Matthew D.; Pain, Christopher C.; Hill, Jon; Goffin, Mark A. 2 2016 Non-intrusive reduced order modelling of the Navier-Stokes equations. Zbl 1423.76287 Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Muggeridge, A. 37 2015 Non-intrusive reduced-order modelling of the Navier-Stokes equations based on RBF interpolation. Zbl 1455.76099 Xiao, D.; Fang, F.; Pain, C.; Hu, G. 31 2015 A POD reduced order model for resolving angular direction in neutron/photon transport problems. Zbl 1352.82030 Buchan, A. G.; Calloo, A. A.; Goffin, M. G.; Dargaville, S.; Fang, F.; Pain, C. C.; Navon, I. M. 20 2015 Interface control volume finite element method for modelling multi-phase fluid flow in highly heterogeneous and fractured reservoirs. Zbl 1349.76163 Abushaikha, Ahmad S.; Blunt, Martin J.; Gosselin, Olivier R.; Pain, Christopher C.; Jackson, Matthew D. 10 2015 Goal-based angular adaptivity applied to a wavelet-based discretisation of the neutral particle transport equation. Zbl 1351.82066 Goffin, Mark A.; Buchan, Andrew G.; Dargaville, Steven; Pain, Christopher C.; Smith, Paul N.; Smedley-Stevenson, Richard P. 4 2015 Anisotropic mesh adaptivity and control volume finite element methods for numerical simulation of multiphase flow in porous media. Zbl 1323.76112 Mostaghimi, Peyman; Percival, James R.; Pavlidis, Dimitrios; Ferrier, Richard J.; Gomes, Jefferson L. M. A.; Gorman, Gerard J.; Jackson, Matthew D.; Neethling, Stephen J.; Pain, Christopher C. 3 2015 Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method. Zbl 1349.76288 Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Du, J.; Hu, G. 59 2014 A control volume finite element method for adaptive mesh simulation of flow in heap leaching. Zbl 1359.76188 Mostaghimi, Peyman; Tollit, Brendan S.; Neethling, Stephen J.; Gorman, Gerard J.; Pain, Christopher C. 2 2014 Reduced order borehole induction modelling. Zbl 07512419 Ardjmandpour, N.; Pain, C. C.; Fang, F.; Buchan, A. G.; Singer, J.; Player, M. A.; Xu, Xu; Navon, I. M.; Carter, J. 2 2014 Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair. Zbl 1297.76107 Xiao, D.; Fang, F.; Du, J.; Pain, C. C.; Navon, I. M.; Buchan, A. G.; ElSheikh, A. H.; Hu, G. 32 2013 Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods. Zbl 1284.65132 Fang, F.; Pain, C. C.; Navon, I. M.; Elsheikh, A. H.; Du, J.; Xiao, D. 26 2013 POD reduced-order unstructured mesh modeling applied to 2D and 3D fluid flow. Zbl 1319.76026 Du, J.; Fang, F.; Pain, C. C.; Navon, I. M.; Zhu, J.; Ham, D. A. 20 2013 A POD reduced-order model for eigenvalue problems with application to reactor physics. Zbl 1352.82018 Buchan, A. G.; Pain, C. C.; Fang, F.; Navon, I. M. 15 2013 Minimising the error in eigenvalue calculations involving the Boltzmann transport equation using goal-based adaptivity on unstructured meshes. Zbl 1311.82041 Goffin, Mark A.; Baker, Christopher M. J.; Buchan, Andrew G.; Pain, Christopher C.; Eaton, Matthew D.; Smith, Paul N. 9 2013 The independent set perturbation method for efficient computation of sensitivities with applications to data assimilation and a finite element shallow water model. Zbl 1391.76322 Fang, F.; Pain, C. C.; Navon, I. M.; Cacuci, D. G.; Chen, X. 2 2013 A sub-grid scale finite element agglomeration multigrid method with application to the Boltzmann transport equation. Zbl 1352.65623 Buchan, A. G.; Pain, C. C.; Umpleby, A. P.; Smedley-Stevenson, R. P. 3 2012 The independent set perturbation adjoint method: a new method of differentiating mesh-based fluids models. Zbl 1285.76015 Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A. 3 2011 A two-phase adaptive finite element method for solid – fluid coupling in complex geometries. Zbl 1429.76101 García, Xavier; Pavlidis, Dimitrios; Gorman, Gerard J.; Gomes, Jefferson L. M. A.; Piggott, Matthew D.; Aristodemou, Elsa; Mindel, Julian; Latham, John-Paul; Pain, Christopher C.; ApSimon, Helen 3 2011 A POD goal-oriented error measure for mesh optimization. Zbl 1425.65096 Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A.; Goddard, A. J. H. 4 2010 Conservative interpolation between unstructured meshes via supermesh construction. Zbl 1228.76105 Farrell, P. E.; Piggott, M. D.; Pain, C. C.; Gorman, G. J.; Wilson, C. R. 50 2009 A POD reduced-order 4D-Var adaptive mesh ocean modelling approach. Zbl 1163.86002 Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Farrell, P. E.; Allison, P. A.; Goddard, A. J. H. 22 2009 Reduced-order modelling of an adaptive mesh ocean model. Zbl 1155.86004 Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Allison, P. A.; Goddard, A. J. H. 20 2009 LBB stability of a mixed Galerkin finite element pair for fluid flow simulations. Zbl 1409.76058 Cotter, Colin J.; Ham, David A.; Pain, Christopher C.; Reich, Sebastian 14 2009 Anisotropic mesh adaptivity for multi-scale ocean modelling. Zbl 1192.86009 Piggott, M. D.; Farrell, P. E.; Wilson, C. R.; Gorman, G. J.; Pain, C. C. 11 2009 A new computational framework for multi-scale ocean modelling based on adapting unstructured meshes. Zbl 1220.76045 Piggott, M. D.; Gorman, G. J.; Pain, C. C.; Allison, P. A.; Candy, A. S.; Martin, B. T.; Wells, M. R. 23 2008 Adjoint a posteriori error measures for anisotropic mesh optimisation. Zbl 1206.65250 Power, P. W.; Pain, C. C.; Piggott, M. D.; Fang, F.; Gorman, G. J.; Umpleby, A. P.; Goddard, A. J. H.; Navon, I. M. 5 2006 Space-time streamline upwind Petrov-Galerkin methods for the Boltzmann transport equation. Zbl 1175.76093 Pain, C. C.; Eaton, M. D.; Smedley-Stevenson, R. P.; Goddard, A. J. H.; Piggott, M. D.; De Oliveira, C. R. E. 3 2006 Streamline upwind Petrov-Galerkin methods for the steady-state Boltzmann transport equation. Zbl 1175.76094 Pain, C. C.; Eaton, M. D.; Smedley-Stevenson, R. P.; Goddard, A. J. H.; Piggott, M. D.; De Oliveira, C. R. E. 3 2006 An adaptive mesh adjoint data assimilation method applied to free surface flows. Zbl 1134.86004 Fang, F.; Pain, C. C.; Piggott, M. D.; Gorman, G. J.; Goddard, A. J. H. 3 2005 A high-order TVD transport method for hybrid meshes on complex geological geometry. Zbl 1155.76356 Matthäi, S. K.; Mezentsev, A. A.; Pain, C. C.; Eaton, M. D. 2 2005 Finite element based Riemann solvers for time-dependent and steady-state radiation transport. Zbl 1127.82321 Pain, C. C.; Eaton, M. D.; Bowsher, J.; Smedley-Stevenson, R. P.; Umpleby, A. P.; de Oliveira, C. R. E.; Goddard, A. J. H. 2 2003 Anisotropic resistivity inversion. Zbl 1055.78012 Pain, Christopher C.; Herwanger, Jörg V.; Saunders, Jonathan H.; Worthington, Michael H.; de Oliveira, Cassiano R. E. 1 2003 Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations. Zbl 1008.76041 Pain, C. C.; Umpleby, A. P.; de Oliveira, C. R. E.; Goddard, A. J. H. 59 2001 Numerical modelling of gas-solid fluidized beds using the two-fluid approach. Zbl 0991.76087 Pain, C. C.; Mansoorzadeh, S.; de Oliveira, C. R. E.; Goddard, A. J. H. 4 2001 A neural network graph partitioning procedure for grid-based domain decomposition. Zbl 0938.65143 Pain, C. C.; de Oliveira, C. R. E.; Goddard, A. J. H. 6 1999 An automatic adaptive meshing technique for Delaunay triangulations. Zbl 0935.65134 Xu, X.; Pain, C. C.; Goddard, A. J. H.; de Oliveira, C. R. E. 6 1998 Finite element simulations of incompressible flow past a heated/cooled sphere. Zbl 0918.76037 Mansoorzadeh, S.; Pain, C. C.; de Oliveira, C. R. E.; Goddard, A. J. H. 5 1998 An automatic mesh coarsening technique for Delaunay triangulations. Zbl 0896.65098 Xu, X.; Pain, C. C.; de Oliveira, C. R. E.; Umpleby, A. P.; Goddard, A. J. H. 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 841 Authors 47 Pain, Christopher C. 25 Navon, Ionel Michael 24 Fang, Fangxin 16 Dehghan Takht Fooladi, Mehdi 16 Piggott, Matthew D. 15 Abbaszadeh, Mostafa 13 Rozza, Gianluigi 12 Buchan, Andrew G. 11 Alauzet, Frédéric 11 Farrell, Patrick E. 11 Gorman, Gerard J. 10 Stabile, Giovanni 9 Jackson, Matthew D. 9 Xiao, Dunhui 8 Pavlidis, Dimitrios 8 San, Omer 7 Arcucci, Rossella 7 Goddard, A. J. H. 7 Iliescu, Traian 7 Salinas, Pablo 7 Smedley-Stevenson, Richard P. 7 Xie, Zhihua 6 Choi, Youngsoo 6 Dargaville, Steven 6 Eaton, Matthew D. 6 Guo, Yike 6 Smith, Paul N. 5 Carlberg, Kevin T. 5 Maddison, James R. 4 Abushaikha, Ahmad S. 4 Allison, P. A. 4 Bistrian, Diana Alina 4 Borggaard, Jeff T. 4 Dervieux, Alain 4 Heemink, Arnold Willem 4 Hesthaven, Jan S. 4 Karatzas, Efthymios N. 4 Kópházi, József 4 Lathouwers, Danny 4 Manzoni, Andrea 4 McClarren, Ryan G. 4 Neethling, Stephen J. 4 Percival, James R. 4 Quarteroni, Alfio M. 4 Ragusa, Jean C. 4 Wang, Zhu 4 Xiang, Jiansheng 3 Aguerre, Horacio J. 3 Ahmed, Shady E. 3 Altaf, M. Umer 3 Ballarin, Francesco 3 Chen, Xiao 3 Cheng, Sibo 3 Coupez, Thierry 3 Croci, Matteo 3 Damián, Santiago Márquez 3 de Oliveira, Cassiano R. E. 3 Du, Juan 3 Goffin, Mark A. 3 Heaney, Claire E. 3 Huynh, Kevin 3 Jacquemyn, Carl 3 Lanteri, Stéphane 3 Li, Kun 3 Li, Liang 3 Loseille, Adrien 3 Mackerle, Jaroslav 3 Matar, Omar K. 3 Maulik, Romit 3 Ming, Pingjian 3 Muggeridge, Ann H. 3 Nigro, Norberto M. 3 Osman, Hossam 3 Perkó, Zoltán 3 Rasheed, Adil 3 Scovazzi, Guglielmo 3 Shashkov, Mikhail J. 3 Soulaimani, Azzeddine 3 Willcox, Karen E. 3 Xiao, Yi 3 Yang, Liang 3 Yu, Jian 2 Adam, Alexandros 2 Akhtar, Imran 2 Allery, Cyrille 2 Alsayyari, Fahad 2 Argaud, Jean-Philippe 2 Aristodemou, Elsa 2 Behrens, Jorn 2 Belme, Anca 2 Benner, Peter 2 Bertrand, Fleurianne 2 Bluck, Michael J. 2 Boffi, Daniele 2 Chaturantabut, Saifon 2 Cheng, Fangxiong 2 Cheng, Juan 2 Cheng, Yingda 2 Cheung, Siu Wun 2 Cho, Haeseong ...and 741 more Authors all top 5 Cited in 57 Serials 102 Journal of Computational Physics 83 Computer Methods in Applied Mechanics and Engineering 34 Computers and Fluids 13 International Journal for Numerical Methods in Engineering 12 Computers & Mathematics with Applications 11 International Journal for Numerical Methods in Fluids 9 SIAM Journal on Scientific Computing 8 Engineering Analysis with Boundary Elements 8 Computational Geosciences 7 Journal of Scientific Computing 7 Applied Mathematical Modelling 7 International Journal of Computational Fluid Dynamics 5 Journal of Computational and Applied Mathematics 5 Physica D 5 Applied Numerical Mathematics 4 Journal of Fluid Mechanics 4 Advances in Computational Mathematics 4 Communications in Computational Physics 4 Mathematical Geosciences 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Engineering Computations 3 GEM - International Journal on Geomathematics 2 Computer Physics Communications 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 2 European Journal of Mechanics. B. Fluids 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Computational Methods 2 SIAM/ASA Journal on Uncertainty Quantification 2 Journal of Computational and Theoretical Transport 1 Journal of Engineering Mathematics 1 Physica A 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Advances in Engineering Software 1 Physics of Fluids 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Journal of Numerical Mathematics 1 Thai Journal of Mathematics 1 Acta Numerica 1 Advances in Difference Equations 1 GAMM-Mitteilungen 1 Advances in Applied Mathematics and Mechanics 1 Communications in Applied and Industrial Mathematics 1 East Asian Journal on Applied Mathematics 1 Journal of Computational Physics: X all top 5 Cited in 27 Fields 264 Numerical analysis (65-XX) 222 Fluid mechanics (76-XX) 52 Partial differential equations (35-XX) 45 Mechanics of deformable solids (74-XX) 36 Geophysics (86-XX) 24 Computer science (68-XX) 22 Statistical mechanics, structure of matter (82-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Biology and other natural sciences (92-XX) 10 Statistics (62-XX) 9 Optics, electromagnetic theory (78-XX) 9 Operations research, mathematical programming (90-XX) 9 Systems theory; control (93-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Integral equations (45-XX) 6 Probability theory and stochastic processes (60-XX) 4 Approximations and expansions (41-XX) 3 Astronomy and astrophysics (85-XX) 2 Real functions (26-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 2 Mathematics education (97-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year