Edit Profile (opens in new tab) Piggott, Matthew D. Co-Author Distance Author ID: piggott.matthew-d Published as: Piggott, M. D.; Piggott, Matthew D.; Piggott, Matthew more...less Documents Indexed: 32 Publications since 2001, including 1 Book and 8 Additional arXiv Preprints Co-Authors: 65 Co-Authors with 32 Joint Publications 814 Co-Co-Authors all top 5 Co-Authors 0 single-authored 14 Pain, Christopher C. 11 Gorman, Gerard J. 7 Goddard, A. J. H. 6 Fang, Fangxin 6 Funke, Simon W. 5 Allison, P. A. 5 Farrell, Patrick E. 5 Navon, Ionel Michael 4 Kramer, Stephan C. 3 Budd, Christopher John 3 Wallwork, Joseph G. 3 Zhang, Mingrui 2 de Oliveira, Cassiano R. E. 2 Eaton, Matthew D. 2 Neethling, Stephen J. 2 Smedley-Stevenson, Richard P. 2 Weller, Hilary 1 Adam, Alexandros 1 ApSimon, Helen 1 Aristodemou, Elsa 1 Avalos-Patiño, J. E. 1 Barnett, George L. 1 Barral, Nicolas 1 Bates, Kevin R. 1 Buchan, Andrew G. 1 Candy, A. S. 1 Chen, Junqing 1 Clare, Mariana C. A. 1 Cotter, Colin John 1 Gao, Junpeng 1 García, Xavier 1 Goffin, Mark A. 1 Gomes, Jefferson L. M. A. 1 Ham, David A. 1 Hill, Jon 1 Jacobs, Christian T. 1 Knepley, Matthew G. 1 Lange, Michael 1 Latham, John-Paul 1 Leimkuhler, Benedict J. 1 Lu, Jingyi 1 Martin, Benjamin T. 1 Mindel, Julian 1 Nikiforakis, Nikos 1 Nunez Rattia, J. M. 1 Pavlidis, Dimitrios 1 Percival, James R. 1 Power, P. W. 1 Roberts, Malcolm 1 Schwedes, Tobias 1 Shaffrey, Len 1 Shi, Zuoqiang 1 Slingo, Julia 1 Song, Wenbin 1 Spinneken, Johannes 1 Stevens, Ian 1 Sun, Fanglei 1 Tian, Zheng 1 Tlhomole, James 1 Umpleby, A. P. 1 Vidale, Pier Luigi 1 Viré, Axelle 1 Wang, Jianhong 1 Warder, Simon C. 1 Wells, M. R. all top 5 Serials 7 International Journal for Numerical Methods in Fluids 5 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational Physics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 GEM - International Journal on Geomathematics 1 Computers & Mathematics with Applications 1 Journal of Computational and Applied Mathematics 1 Applied Numerical Mathematics 1 European Journal of Mechanics. B. Fluids 1 SpringerBriefs in Mathematics of Planet Earth all top 5 Fields 16 Numerical analysis (65-XX) 13 Fluid mechanics (76-XX) 11 Geophysics (86-XX) 4 Partial differential equations (35-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 225 times in 188 Documents Cited by ▼ Year ▼ 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 Geometric integration and its applications. Zbl 1062.65134 Budd, C. J.; Piggott, M. D. 34 2003 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 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 Scaling invariance and adaptivity. Zbl 0998.65070 Budd, C. J.; Leimkuhler, B.; Piggott, M. D. 14 2001 The geometric integration of scale-invariant ordinary and partial differential equations. Zbl 0974.65095 Budd, C. J.; Piggott, M. D. 13 2001 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 Mesh dependence in PDE-constrained optimisation. An application in tidal turbine array layouts. Zbl 1384.65039 Schwedes, Tobias; Ham, David A.; Funke, Simon W.; Piggott, Matthew D. 9 2017 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 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 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 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 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 Developing the next-generation climate system models: challenges and achievements. Zbl 1185.86020 Slingo, Julia; Bates, Kevin; Nikiforakis, Nikos; Piggott, Matthew; Roberts, Malcolm; Shaffrey, Len; Stevens, Ian; Vidale, Pier Luigi; Weller, Hilary 2 2009 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 Reconstructing wave profiles from inundation data. Zbl 1439.76068 Funke, S. W.; Farrell, P. E.; Piggott, M. D. 1 2017 Mesh dependence in PDE-constrained optimisation. An application in tidal turbine array layouts. Zbl 1384.65039 Schwedes, Tobias; Ham, David A.; Funke, Simon W.; Piggott, Matthew D. 9 2017 Reconstructing wave profiles from inundation data. Zbl 1439.76068 Funke, S. W.; Farrell, P. E.; Piggott, M. D. 1 2017 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 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 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 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 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 Developing the next-generation climate system models: challenges and achievements. Zbl 1185.86020 Slingo, Julia; Bates, Kevin; Nikiforakis, Nikos; Piggott, Matthew; Roberts, Malcolm; Shaffrey, Len; Stevens, Ian; Vidale, Pier Luigi; Weller, Hilary 2 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 Geometric integration and its applications. Zbl 1062.65134 Budd, C. J.; Piggott, M. D. 34 2003 Scaling invariance and adaptivity. Zbl 0998.65070 Budd, C. J.; Leimkuhler, B.; Piggott, M. D. 14 2001 The geometric integration of scale-invariant ordinary and partial differential equations. Zbl 0974.65095 Budd, C. J.; Piggott, M. D. 13 2001 all cited Publications top 5 cited Publications all top 5 Cited by 386 Authors 26 Pain, Christopher C. 15 Fang, Fangxin 14 Navon, Ionel Michael 13 Piggott, Matthew D. 11 Farrell, Patrick E. 10 Gorman, Gerard J. 8 Buchan, Andrew G. 7 Matsuo, Takayasu 5 Maddison, James R. 5 Pavlidis, Dimitrios 4 Allison, P. A. 4 Budd, Christopher John 4 Dargaville, Steven 4 Neethling, Stephen J. 4 Percival, James R. 4 Smith, Paul N. 3 Aguerre, Horacio J. 3 Alauzet, Frédéric 3 Ascher, Uri M. 3 Borggaard, Jeff T. 3 Chen, Xiao 3 Croci, Matteo 3 Damián, Santiago Márquez 3 Goddard, A. J. H. 3 Goffin, Mark A. 3 Gubbiotti, Giorgio 3 Heemink, Arnold Willem 3 Huang, Weizhang 3 Iliescu, Traian 3 McLachlan, Robert I. 3 Ming, Pingjian 3 Nigro, Norberto M. 3 Shashkov, Mikhail J. 3 Smedley-Stevenson, Richard P. 3 Wang, Zhu 3 Xiang, Jiansheng 3 Xiao, Dunhui 3 Xiao, Yi 2 Adam, Alexandros 2 Akhtar, Imran 2 Altaf, M. Umer 2 Cheng, Juan 2 Cotter, Colin John 2 d’Aquino, Massimiliano 2 Du, Juan 2 Elenin, G. G. 2 Furihata, Daisuke 2 Gerritsma, Marc I. 2 Giles, Michael B. 2 Gimenez, Juan Marcelo 2 Godinho, Luís M. C. 2 Gomes, Jefferson L. M. A. 2 Hassan, Oubay 2 Hoteit, Ibrahim 2 Hubbard, Matthew E. 2 Jackson, Matthew D. 2 Jimack, Peter K. 2 Kramer, Stephan C. 2 Kraus, Michael 2 Kuzmin, Dmitri 2 Latham, John-Paul 2 Miano, Giovanni 2 Milz, Johannes 2 Mostaghimi, Peyman 2 Palha, Artur 2 Petra, Cosmin G. 2 Petra, Noemi 2 Russell, Robert D. 2 Salinas, Pablo 2 Serpico, Claudio 2 Shadid, John N. 2 Shu, Chi-Wang 2 Soares, Delfim jun. 2 Ulbrich, Michael 2 Viré, Axelle 2 Xie, Zhihua 1 Ai, Junqiang 1 Akella, Srinivas 1 Albarakati, Aishah 1 Aleksandrov, P. A. 1 Alonso, Diego Hayashi 1 Alvarez, Jorge 1 Anderson, Anthony M. 1 Andres, Matthias 1 Antoñana, Mikel 1 ApSimon, Helen 1 Ardjmandpour, N. 1 Aristodemou, Elsa 1 Artana, Guillermo 1 Avalos-Patiño, J. E. 1 Bader, Michael 1 Baker, Christopher M. J. 1 Basting, Steffen 1 Becerra-Sagredo, Julián-Tercero 1 Behrens, Jorn 1 Bélair, Jacques 1 Bernoff, Andrew J. 1 Bistrian, Diana Alina 1 Blanchard, Ghislain 1 Blanes, Sergio ...and 286 more Authors all top 5 Cited in 63 Serials 43 Journal of Computational Physics 20 Computer Methods in Applied Mechanics and Engineering 13 Journal of Computational and Applied Mathematics 11 Computers and Fluids 10 International Journal for Numerical Methods in Fluids 9 SIAM Journal on Scientific Computing 5 International Journal for Numerical Methods in Engineering 5 Applied Numerical Mathematics 5 Applied Mathematical Modelling 3 Journal of Engineering Mathematics 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Mathematical and Computer Modelling 2 Journal of Scientific Computing 2 Advances in Computational Mathematics 2 International Journal of Computational Fluid Dynamics 2 Computational Geosciences 2 Differential Equations 2 GEM - International Journal on Geomathematics 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. A 1 ACM Transactions on Mathematical Software 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 BIT 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Physica D 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Sugaku Expositions 1 SIAM Journal on Applied Mathematics 1 Celestial Mechanics and Dynamical Astronomy 1 Advances in Engineering Software 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 European Journal of Mechanics. B. Fluids 1 Annales Henri Poincaré 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Journal of Numerical Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Computational Methods 1 Acta Numerica 1 Advances in Difference Equations 1 Optimization Letters 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Computational Physics 1 Mathematical Geosciences 1 Advances in Applied Mathematics and Mechanics 1 Symmetry 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Computational and Theoretical Transport all top 5 Cited in 28 Fields 128 Numerical analysis (65-XX) 84 Fluid mechanics (76-XX) 47 Partial differential equations (35-XX) 17 Geophysics (86-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Mechanics of deformable solids (74-XX) 6 Mechanics of particles and systems (70-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Operations research, mathematical programming (90-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Difference and functional equations (39-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Optics, electromagnetic theory (78-XX) 2 Algebraic geometry (14-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year