Numerical computation of ice sheet profiles with free boundary models

Applied Numerical Mathematics

Volumn 35, Issue 2, 2000, Pages 111-128

  Calvo, N ^a   Durany, J ^a   Vazquez C ^b  

^a UNIVERSITY OF VIGO   (Spain)

^b UNIVERSITY OF A CORUÑA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; ICE; MATHEMATICAL MODELS; PROBLEM SOLVING;

DUALITY METHODS; ICE SHEET PROFILES; TIME DEPENDENT NONLINEAR CONVECTION-DIFFUSION EQUATIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0034300810     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00052-5     Document Type: Article

References (18)

1. M. Bercovier, O. Pironneau and V. Sastri, Finite elements and characteristics for some parabolic-hyperbolic problems, Appl. Math. Modelling (1983) 89-96.
2. A. Bermúdez and C. Moreno, Duality methods for solving variational inequalities, Comput. Math. Appl. 7 (1981) 43-58.
3. N. Calvo, J. Durany and C. Vázquez, Numerical approach of temperature distribution in a free boundary polythermal ice sheet, Numer. Math. 83(4)(1999) 557-580.
4. P. Ciarlet, Introduction à L'analyse Numérique et à L'optimisation, Masson, Paris, 1982.
5. t(Q) space to a doubly nonlinear parabolic problem, Publ. Mat. 40 (1996) 525-560.
6. C.M. Elliott and J.R. Ockendon, Weak and variational methods for moving boundary problems, Pitman Research Notes in Mathematics Series, Vol. 59, London Sci. Tech., London, 1981.
7. A.C. Fowler, Modeling ice sheet dynamics, Geophys. Astrophys. Fluid Dynamics 63 (1992) 29-65.
8. A.C. Fowler, Glaciers and ice sheets, in: The Mathematics of Models for Climatology and Environment, NATO ASI Series I: Global Environmental Change, Vol. 48, Springer, 1997, pp. 301-336.
9. A.C. Fowler, Mathematical Models in the Applied Sciences, Cambridge University Press, Cambridge, 1997.
10. A.C. Fowler and D.A. Larson, On the flow of polythermal glaciers: I. Models and preliminary analysis, Proc. Royal Soc. London Ser. A 363 (1978) 217-242.
11. R. Glowinski, Numerical methods for nonlinear variational problems, Springer Series in Computational Physics, Springer, New York, 1984.
12. R.C.A. Hindmarsch and K. Hutter, Numerical fixed domain mapping solution of free-surface flows coupled with an evolving interior field, Internat. J. Numer. Anal. Methods Geomech. 12 (1988) 437-459.
13. K. Hutter, Theoretical Glaciology, Reidel, Dordrecht, 1981.
14. K. Hutter, A mathematical model of polythermal glaciers and ice sheets, Geophys. Astrophys. Fluid Dynamics 21 (1982) 201-224.
15. L.W. Morland, Thermomechanical balances of ice sheet flows, Geophys. Astrophys. Fluid Dynamics 29 (1984) 237-266.
16. W.S.B. Patterson, The Physics of Glaciers, Pergamon, Oxford, 1981.
17. O. Pironneau, On the transport-diffusion algorithm and its application to Navier-Stokes equation, Numer. Math. 38 (1982) 309-332.
18. E. Schiavi, About Some Semilinear P.D.E.'s Appearing in Glaciology, Ph.D. Thesis, Universidad Complutense de Madrid, Madrid, 1997 (in Spanish).