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Piggott, Matthew D.

Author ID: piggott.matthew-d Recent zbMATH articles by "Piggott, Matthew D."
Published as: Piggott, M. D.; Piggott, Matthew D.; Piggott, Matthew
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

Publications by Year

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 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

Citations by Year