-
1
-
-
20444446370
-
A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries
-
Baines, M. J., Hubbard, M. E., and Jimack, P. K.: A moving mesh finite element algorithm for the adaptive solution of time-dependent partial differential equations with moving boundaries, Appl. Numer. Math., 54, 450–469, doi:10.1016/j.apnum.2004.09.013, 2005.
-
(2005)
Appl. Numer. Math.
, vol.54
, pp. 450-469
-
-
Baines, M.J.1
Hubbard, M.E.2
Jimack, P.K.3
-
2
-
-
79958789591
-
Velocity-based moving mesh methods for nonlinear partial differential equations
-
Baines, M. J., Hubbard, M. E., and Jimack, P. K.: Velocity-based moving mesh methods for nonlinear partial differential equations, Commun. Comput. Phys., 10, 509–576, doi:10.4208/cicp.201010.040511a, 2011.
-
(2011)
Commun. Comput. Phys.
, vol.10
, pp. 509-576
-
-
Baines, M.J.1
Hubbard, M.E.2
Jimack, P.K.3
-
3
-
-
16244384270
-
-
PhD thesis,: last access: 4 August 2015), University of Reading, Reading, Berks, UK
-
Blake, K. W.: Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations, PhD thesis, available at: http://www.reading.ac.uk/web/FILES/maths/Kw_blake.pdf (last access: 4 August 2015), University of Reading, Reading, Berks, UK, 2001.
-
(2001)
Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations
-
-
Blake, K.W.1
-
4
-
-
77949636766
-
Adaptivity with moving grids
-
Budd, C. J., Huang, W., and Russell, R. D.: Adaptivity with moving grids, Acta Numerica, 18, 111–241, doi:10.1017/S0962492906400015, 2009.
-
(2009)
Acta Numerica
, vol.18
, pp. 111-241
-
-
Budd, C.J.1
Huang, W.2
Russell, R.D.3
-
5
-
-
29144488376
-
Exact solutions and verification of numerical models for isothermal ice sheets
-
Bueler, E., Lingle, C. S., Kallen-Brown, J. A., Covey, D. N., and Bowman, L. N.: Exact solutions and verification of numerical models for isothermal ice sheets, J. Glaciol., 51, 291–306, doi:10.3189/172756505781829449, 2005.
-
(2005)
J. Glaciol.
, vol.51
, pp. 291-306
-
-
Bueler, E.1
Lingle, C.S.2
Kallen-Brown, J.A.3
Covey, D.N.4
Bowman, L.N.5
-
6
-
-
0038104716
-
On a doubly nonlinear parabolic obstacle problem modelling ice sheet dynamics
-
Calvo, N., Díaz, J. I., Durany, J., Schiavi, E., and Vázquez, C.: On a doubly nonlinear parabolic obstacle problem modelling ice sheet dynamics, SIAM J. Appl. Math., 63, 683–707, doi:10.1137/S0036139901385345, 2002.
-
(2002)
SIAM J. Appl. Math.
, vol.63
, pp. 683-707
-
-
Calvo, N.1
Díaz, J.I.2
Durany, J.3
Schiavi, E.4
Vázquez, C.5
-
7
-
-
0141924673
-
Approaches for generating moving adaptive meshes: Location versus velocity
-
Cao, W., Huang, W., and Russell, R. D.: Approaches for generating moving adaptive meshes: location versus velocity, Appl. Numer. Math., 47, 121–138, doi:10.1016/S0168-9274(03)00061-8, 2003.
-
(2003)
Appl. Numer. Math.
, vol.47
, pp. 121-138
-
-
Cao, W.1
Huang, W.2
Russell, R.D.3
-
8
-
-
84868460211
-
Adaptive mesh, finite volume modeling of marine ice sheets
-
Cornford, S. L., Martin, D. F., Graves, D. T., Ranken, D. F., Le Brocq, A. M., Gladstone, R. M., Payne, A. J., Ng, E. G., and Lipscomb, W. H.: Adaptive mesh, finite volume modeling of marine ice sheets, J. Comput. Phys., 232, 529–549, doi:10.1016/j.jcp.2012.08.037, 2013.
-
(2013)
J. Comput. Phys.
, vol.232
, pp. 529-549
-
-
Cornford, S.L.1
Martin, D.F.2
Graves, D.T.3
Ranken, D.F.4
Le Brocq, A.M.5
Gladstone, R.M.6
Payne, A.J.7
Ng, E.G.8
Lipscomb, W.H.9
-
9
-
-
80052093843
-
-
fourth edition), Butterworth-Heinemann/Elsevier, Burlington, MA, USA and Oxford, UK
-
Cuffey, K. M. and Paterson, W. S. B.: The Physics of Glaciers (fourth edition), Butterworth-Heinemann/Elsevier, Burlington, MA, USA and Oxford, UK, 54–78, 2010.
-
(2010)
The Physics of Glaciers
, pp. 54-78
-
-
Cuffey, K.M.1
Paterson, W.S.B.2
-
10
-
-
85047834358
-
-
Master’s thesis,: last access: 19 November 2015), University of Reading, Reading, Berks, UK
-
Dodd, J.: A Moving Mesh Approach to Modelling the Grounding Line in Glaciology, Master’s thesis, available at: http://www.reading.ac.uk/web/FILES/maths/Dissertation_Dodd.pdf (last access: 19 November 2015), University of Reading, Reading, Berks, UK, 2013.
-
(2013)
A Moving Mesh Approach to Modelling The Grounding Line in Glaciology
-
-
Dodd, J.1
-
11
-
-
4444344180
-
Arbitrary Lagrangian-Eulerian Methods
-
Fundamentals, Chapter 14, edited by: Stein, E., de Borst, R., and Hughes, T. J. R., John Wiley & Sons Ltd., Chichester, UK
-
Donea, J., Huerta, A., Ponthot, J.-P., and Rodríguez-Ferran, A.: Arbitrary Lagrangian-Eulerian Methods, in: Encyclopedia of Computational Mechanics, Volume 1: Fundamentals, Chapter 14, edited by: Stein, E., de Borst, R., and Hughes, T. J. R., John Wiley & Sons Ltd., Chichester, UK, 1–25, 2004.
-
(2004)
Encyclopedia of Computational Mechanics
, vol.1
, pp. 1-25
-
-
Donea, J.1
Huerta, A.2
Ponthot, J.-P.3
Rodríguez-Ferran, A.4
-
12
-
-
85047787718
-
Full Stokes modeling of marine ice
-
Durand, G., Gagliardini, O., Zwinger, T., Le Meur, E., and Hindmarsh, R. C. A.: Full Stokes modeling of marine ice
-
-
-
Durand, G.1
Gagliardini, O.2
Zwinger, T.3
Le Meur, E.4
Hindmarsh, R.C.A.5
-
13
-
-
70350096250
-
Sheets: Influence of the grid size
-
sheets: influence of the grid size, Ann. Glaciol., 50, 109–114, doi:10.3189/172756409789624283, 2009.
-
(2009)
Ann. Glaciol.
, vol.50
, pp. 109-114
-
-
-
14
-
-
84973065267
-
Modelling ice sheet dynamics
-
Fowler, A. C.: Modelling ice sheet dynamics, Geophys. Astro. Fluid, 63, 29–65, doi:10.1080/03091929208228277, 1992.
-
(1992)
Geophys. Astro. Fluid
, vol.63
, pp. 29-65
-
-
Fowler, A.C.1
-
15
-
-
84883377144
-
Capabilities and performance of Elmer/Ice, a new-generation ice sheet model
-
Gagliardini, O., Zwinger, T., Gillet-Chaulet, F., Durand, G., Favier, L., de Fleurian, B., Greve, R., Malinen, M., Martín, C., Røback, P., Ruokolainen, J., Sacchettini, M., Schäfer, M., Seddik, H., and Thies, J.: Capabilities and performance of Elmer/Ice, a new-generation ice sheet model, Geosci. Model Dev., 6, 1299–1318, doi:10.5194/gmd-6-1299-2013, 2013.
-
(2013)
Geosci. Model Dev.
, vol.6
, pp. 1299-1318
-
-
Gagliardini, O.1
Zwinger, T.2
Gillet-Chaulet, F.3
Durand, G.4
Favier, L.5
De Fleurian, B.6
Greve, R.7
Malinen, M.8
Martín, C.9
Røback, P.10
Ruokolainen, J.11
Sacchettini, M.12
Schäfer, M.13
Seddik, H.14
Thies, J.15
-
16
-
-
78149291798
-
Grounding line migration in an adaptive mesh ice sheet model
-
Gladstone, R. M. and Lee, V., and Vieli, A. and Payne, A. J.: Grounding line migration in an adaptive mesh ice sheet model, J. Geophys. Res., 115, F04014, doi:10.1029/2009JF001615, 2010.
-
(2010)
J. Geophys. Res.
, vol.115
, pp. F04014
-
-
Gladstone, R.M.1
Lee, V.2
Vieli, A.3
Payne, A.J.4
-
17
-
-
0001195289
-
The creep of polycrystalline ice
-
Glen, J. W.: The creep of polycrystalline ice, P. Roy. Soc. A.-Math. Phy., 228, 519–538, 1955.
-
(1955)
P. Roy. Soc. A.-Math. Phy.
, vol.228
, pp. 519-538
-
-
Glen, J.W.1
-
18
-
-
77954220119
-
Grounding line movement and ice shelf buttressing in marine ice sheets
-
Goldberg, D., Holland, D. M., and Schoof, C.: Grounding line movement and ice shelf buttressing in marine ice sheets, J. Geophys. Res., 114, F04026, doi:10.1029/2008JF001227, 2009.
-
(2009)
J. Geophys. Res.
, vol.114
, pp. F04026
-
-
Goldberg, D.1
Holland, D.M.2
Schoof, C.3
-
19
-
-
84867784497
-
The stability of grounding lines on retrograde slopes
-
Gudmundsson, G. H., Krug, J., Durand, G., Favier, L., and Gagliardini, O.: The stability of grounding lines on retrograde slopes, The Cryosphere, 6, 1497–1505, doi:10.5194/tc-6-1497-2012, 2012.
-
(2012)
The Cryosphere
, vol.6
, pp. 1497-1505
-
-
Gudmundsson, G.H.1
Krug, J.2
Durand, G.3
Favier, L.4
Gagliardini, O.5
-
20
-
-
0019869740
-
On the dynamics of the ice sheets
-
Halfar, P.: On the dynamics of the ice sheets, J. Geophys. Res.-Oceans, 86, 11065–11072, doi:10.1029/JC086iC11p11065, 1981.
-
(1981)
J. Geophys. Res.-Oceans
, vol.86
, pp. 11065-11072
-
-
Halfar, P.1
-
21
-
-
0020971879
-
On the dynamics of the ice sheets 2
-
Halfar, P.: On the dynamics of the ice sheets 2, J. Geophys. Res., 88, 6043–6051, doi:10.1029/JC088iC10p06043, 1983.
-
(1983)
J. Geophys. Res.
, vol.88
, pp. 6043-6051
-
-
Halfar, P.1
-
22
-
-
0002138773
-
Qualitative dynamics of marine ice sheets
-
Springer, Berlin, Heidelberg, Germany
-
Hindmarsh, R. C. A.: Qualitative dynamics of marine ice sheets, in: Ice in the Climate System, Springer, Berlin, Heidelberg, Germany, 67–99, 1993.
-
(1993)
Ice in The Climate System
, pp. 67-99
-
-
Hindmarsh, R.C.A.1
-
23
-
-
0035194540
-
Dynamical processes involved in the retreat of marine ice sheets
-
Hindmarsh, R. C. A. and Le Meur, E.: Dynamical processes involved in the retreat of marine ice sheets, J. Glaciol., 47, 271–282, doi:10.3189/172756501781832269, 2001.
-
(2001)
J. Glaciol.
, vol.47
, pp. 271-282
-
-
Hindmarsh, R.C.A.1
Le Meur, E.2
-
24
-
-
0030417306
-
Time-step limits for stable solutions of the ice-sheet equation
-
Hindmarsh, R. C. A. and Payne, A. J.: Time-step limits for stable solutions of the ice-sheet equation, Ann. Glaciol., 23, 74–85, 1996.
-
(1996)
Ann. Glaciol.
, vol.23
, pp. 74-85
-
-
Hindmarsh, R.C.A.1
Payne, A.J.2
-
25
-
-
85040382331
-
-
D. Reidel, Dordrecht, the Netherlands
-
Hutter, K.: Theoretical Glaciology, D. Reidel, Dordrecht, the Netherlands, 1983.
-
(1983)
Theoretical Glaciology
-
-
Hutter, K.1
-
26
-
-
0030408193
-
The EISMINT benchmarks for testing ice-sheet models
-
Huybrechts, P., Payne, A. J., and The EISMINT Intercomparison Group: The EISMINT benchmarks for testing ice-sheet models, Ann. Glaciol., 23, 1–12, 1996.
-
(1996)
Ann. Glaciol.
, vol.23
, pp. 1-12
-
-
Huybrechts, P.1
Payne, A.J.2
-
27
-
-
84880423400
-
An adaptive Newton multigrid method for a model of marine ice sheets
-
Jouvet, G. and Gräser, C.: An adaptive Newton multigrid method for a model of marine ice sheets, J. Comput. Phys., 252, 419–437, doi:10.1016/j.jcp.2013.06.032, 2013.
-
(2013)
J. Comput. Phys.
, vol.252
, pp. 419-437
-
-
Jouvet, G.1
Gräser, C.2
-
28
-
-
84928479321
-
A finite difference moving mesh method based on conservation for moving boundary problems
-
Lee, T. E., Baines, M. J., and Langdon, S.: A finite difference moving mesh method based on conservation for moving boundary problems, J. Comput. Appl. Math., 288, 1–17, doi:10.1016/j.cam.2015.03.032, 2015.
-
(2015)
J. Comput. Appl. Math.
, vol.288
, pp. 1-17
-
-
Lee, T.E.1
Baines, M.J.2
Langdon, S.3
-
29
-
-
9144242411
-
On estimating length fluctuations of glaciers caused by changes in climatic forcing
-
Leysinger Vieli, G. J. and Gudmundsson, G. H.: On estimating length fluctuations of glaciers caused by changes in climatic forcing, J. Geophys. Res., 109, F01007, doi:10.1029/2003JF000027, 2004.
-
(2004)
J. Geophys. Res.
, vol.109
, pp. F01007
-
-
Leysinger Vieli, G.J.1
Gudmundsson, G.H.2
-
30
-
-
84985897895
-
-
PhD thesis,: last access: 4 August 2015), University of Reading, Reading, Berks, UK
-
Partridge, D.: Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation, PhD thesis, available at: http://www.reading.ac.uk/web/FILES/maths/DP_PhDThesis.pdf (last access: 4 August 2015), University of Reading, Reading, Berks, UK, 2013.
-
(2013)
Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation
-
-
Partridge, D.1
-
31
-
-
85047827007
-
-
Pattyn, F., Schoof, C., Perichon, L., Hindmarsh, R. C. A., Bueler, E., de Fleurian, B., Durand, G., Gagliardini, O., Gladstone, R., Goldberg, D., Gudmundsson, G. H., Huybrechts, P., Lee, V.,
-
-
-
Pattyn, F.1
Schoof, C.2
Perichon, L.3
Hindmarsh, R.C.A.4
Bueler, E.5
De Fleurian, B.6
Durand, G.7
Gagliardini, O.8
Gladstone, R.9
Goldberg, D.10
Gudmundsson, G.H.11
Huybrechts, P.12
Lee, V.13
-
32
-
-
84861818425
-
Results of the Marine Ice Sheet Model Intercomparison Project, MISMIP
-
Nick, F. M., Payne, A. J., Pollard, D., Rybak, O., Saito, F., and Vieli, A.: Results of the Marine Ice Sheet Model Intercomparison Project, MISMIP, The Cryosphere, 6, 573–588, doi:10.5194/tc-6-573-2012, 2012.
-
(2012)
The Cryosphere
, vol.6
, pp. 573-588
-
-
Nick, F.M.1
Payne, A.J.2
Pollard, D.3
Rybak, O.4
Saito, F.5
Vieli, A.6
-
33
-
-
84880410049
-
Grounding-line migration in plan-view marine ice-sheet models, results of the ice2sea MISMIP3d intercomparison
-
This ice loss modifies the ice flow but also translates into the retreat of continental margins (in Greenland) and grounding lines (mainly in Antarctica). edited by: Huybrechts, Jouvet, G., Kleiner, T., Larour, E., Martin, D., Morlighem, M., Payne, A. J., Pollard, D., Rückamp, M., Rybak, O., Seroussi, H., Thoma, M., and Wilkens, N
-
Pattyn, F., Périchon, L., Durand, G., Favier, L., Gagliardini, O., Hindmarsh, R. C. A., Zwinger, T., Albrecht, T., Cornford, S., Docquier, D., Fürst, J. J., Goldberg, D., Gudmundsson, G. H., Humbert, A., and Hütten, M.: This ice loss modifies the ice flow but also translates into the retreat of continental margins (in Greenland) and grounding lines (mainly in Antarctica), edited by: Huybrechts, P., Jouvet, G., Kleiner, T., Larour, E., Martin, D., Morlighem, M., Payne, A. J., Pollard, D., Rückamp, M., Rybak, O., Seroussi, H., Thoma, M., and Wilkens, N.: Grounding-line migration in plan-view marine ice-sheet models, results of the ice2sea MISMIP3d intercomparison, J. Glaciol., 59, 410–422, doi:10.3189/2013JoG12J129, 2013.
-
(2013)
J. Glaciol.
, vol.59
, pp. 410-422
-
-
Pattyn, F.1
Périchon, L.2
Durand, G.3
Favier, L.4
Gagliardini, O.5
Hindmarsh, R.C.A.6
Zwinger, T.7
Albrecht, T.8
Cornford, S.9
Docquier, D.10
Fürst, J.J.11
Goldberg, D.12
Gudmundsson, G.H.13
Humbert, A.14
Hütten, M.15
-
34
-
-
0033762770
-
Results from the EISMINT model intercomparison: The effects of thermomechanical coupling
-
Payne, A. J., Huybrechts, P., Abe-Ouchi, A., Calov, R., Fastook, J. L., Greve, R., Marshall, S. J., Marsiat, I., Ritz, C., Tarasov, L., and Thomassen, M. P. A.: Results from the EISMINT model intercomparison: the effects of thermomechanical coupling, J. Glaciol., 46, 227–238, doi:10.3189/172756500781832891, 2000.
-
(2000)
J. Glaciol.
, vol.46
, pp. 227-238
-
-
Payne, A.J.1
Huybrechts, P.2
Abe-Ouchi, A.3
Calov, R.4
Fastook, J.L.5
Greve, R.6
Marshall, S.J.7
Marsiat, I.8
Ritz, C.9
Tarasov, L.10
Thomassen, M.P.A.11
-
35
-
-
85043707536
-
Moving mesh finite difference schemes for the porous medium equation
-
last access: 4 August 2015), Department of Mathematics and Statistics, University of Reading, Reading, Berks, UK
-
Scherer, G. and Baines, M. J.: Moving mesh finite difference schemes for the porous medium equation, Mathematics Report Series 1/2012, available at: https://www.reading.ac.uk/web/FILES/maths/godelareport.pdf (last access: 4 August 2015), Department of Mathematics and Statistics, University of Reading, Reading, Berks, UK, 2012.
-
(2012)
Mathematics Report Series 1/2012
-
-
Scherer, G.1
Baines, M.J.2
-
36
-
-
33847281885
-
Marine ice sheet dynamics, Part 1, The case of rapid sliding
-
Schoof, C.: Marine ice sheet dynamics, Part 1, The case of rapid sliding, J. Fluid Mech., 573, 27–55, doi:10.1017/S0022112006003570, 2007.
-
(2007)
J. Fluid Mech.
, vol.573
, pp. 27-55
-
-
Schoof, C.1
-
37
-
-
80052160268
-
Marine ice sheet dynamics, Part 2, A Stokes flow contact problem
-
Schoof, C.: Marine ice sheet dynamics, Part 2, A Stokes flow contact problem, J. Fluid Mech., 679, 122–155, doi:10.1017/jfm.2011.129, 2011.
-
(2011)
J. Fluid Mech.
, vol.679
, pp. 122-155
-
-
Schoof, C.1
-
38
-
-
77955856791
-
Thin-film flows with wall slip: An asymptotic analysis of higher order glacier flow models
-
Schoof, C. and Hindmarsh, R. C. A.: Thin-film flows with wall slip: an asymptotic analysis of higher order glacier flow models, Q. J. Mech. Appl. Math., 63, 73–114, doi:10.1093/qjmam/hbp025, 2010.
-
(2010)
Q. J. Mech. Appl. Math.
, vol.63
, pp. 73-114
-
-
Schoof, C.1
Hindmarsh, R.C.A.2
-
40
-
-
33745690685
-
Assessing the ability of numerical ice sheet models to simulate grounding line migration
-
Vieli, A. and Payne, A. J.: Assessing the ability of numerical ice sheet models to simulate grounding line migration, J. Geophys. Res., 110, F01003, doi:10.1029/2004JF000202, 2005.
-
(2005)
J. Geophys. Res.
, vol.110
, pp. F01003
-
-
Vieli, A.1
Payne, A.J.2
|