Semivariational numerical model of prelinear filtration with the special emphasis on nonlinear sources

Computer Assisted Mechanics and Engineering Sciences

Volumn 3, Issue 2, 1996, Pages 83-96

  Schaefer, Robert ^a   Sȩdziwy, Stanislaw ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

PRELINEAR FILTRATION; QUASILINEAR PARABOLIC EQUATIONS;

FILTRATION;

EID: 0029697749     PISSN: 1232308X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. J. Bear, Y. Bachmat. Introduction to Modelling of Transport Phenomena in Porous Media. Kulwer Acad. Publ., Dordrecht, Boston, London, 1991.
2. R.N. Chowdury. Ground water flow obeying non-Darcy laws. Wolloungong Univ., 3: 13-22, 1974.
3. Z. Denkowski, S. Migórski, H. Telega, R.F. Schaefer. Mathematical and computational aspects of inverse problems for nonlinear filtration process. In: Proc. of II Symp. on Inverse Problems in Eng. Mech. (ISIP'94), Paris, 403-409, 1994.
4. M. Domagala, B. Kotkowski. GUJ, Graphic tools and MPEG animation in the OCTOPUS environment (to appear in Proc. of MKM '95 Conf.).
5. M. Domagala, R.F. Schaefer. Application of compression movies standard MPEG to animation of nonstationary solutions (to appear in Proc. of MKM '95 Conf.).
6. H. Gajewski, K. Groger, K. Zacharias. Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen (Russian translation). Akad. Verl., Berlin, 1974.
7. S. Hansbo. Consolidation in clay with special reference to influence of vertical sand drains. Swed. Geotech. Inst. Proc., Proc. No. 18, Stockholm, 1960.
8. S. Kasprzyk, S. Sȩdziwy. Vibration of a beam carrying a number of mass bodies (submitted).
9. P. Lezański. Advantages of object-oriented approach to engineering systems. Proc. of MKM '95 Conf., 192-194, Warsaw-Zegrze, May 1995.
10. Lie Seung Ping. Measuring extremally low velocity of water. Soil Sci., 95: 410-413, August, 1992.
11. J.L. Lions. Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod, Paris, 1969.
12. J.T. Marti. Introduction to Sobolev Spaces and Finite Element Solution of Elliptic Boundary Value Problems. Acad. Press, London, New York, Tokyo, 1986.
13. Z. Onderka, R. Schaefer. Implementation of FE/FD distributed algorithm using PVM language. Proc. of MKM '95 Conf., 252-254, Warsaw-Zegrze, May 1995.
14. H.H. Pan, R.M. Hohenstein. Transverse vibration of a viscoelastic beam carrying an arbitrary number of mass bodies. Rev. Roumaine Math. Pures et Appl., 17: 371-387, 1972.
15. A. Przybylski. A distributed algorithm of unstructured triangular mesh generator - object oriented approach. Proc. of MKM '95 Conf., 283-285, Warsaw-Zegrze, May 1995.
16. R.M. Richtmyer, K.W. Morton. Difference Methods for Initial Value Problems (Russian translation). Mir, Moscow, 1972.
17. R. Schaefer. Numerical modeling of the prelinear fitration (in Polish). Rozprawy Habilitacyjne UJ, 213, 1991.
18. J. Schaefer-Koniar, R.F. Schaefer. Testing of the non iterative scheme of the method of finite element for the Dupuit-Forcheiner equation exemplified by filtration above a sloping impermeable substratum. AMSE Periodicals C, 7 (no. 1): 19 - 26, 1987.
19. R. Schaefer, S. Sȩdziwy. Filtration in cohesive soils: modelling and solving. In: Proc. of the Conf.:Finite Elements in Fluids, New Trends and Appl., Barcelona, Vol. II, 887-891, 1993.
20. D. Swartzendruber. Modification of Darcy's Law for the Flow of Water in Soils. Soil. Sci., 93: 23-29, 1961.
21. D. Swartzendruber. The applicability of Darcy's law. Soil. Sci. Am. Proc., 32: 11-18, 1968.
22. W. Thomeé. Galerkin Finite Element Methods for Parabolic Problems. Vol. 1054 Springer Verl., Berlin , 1984.
23. M.G. Venadiev, V.M. Jentov. Hydrodynamic Theory of Filtration of Abnormal Liquids (in Russian). Nauka, Moscow, 1975.
24. A. Veruit. Generation and Dissipation of Pore - Vater Pressures. Finite Elements in Geomechanics. John Wiley, N. York, 1979.
25. W. Wolski et al. Two stage - constructed embankments on organic soils. Report No. 32, Swedish Geotech. Inst., Linköping, 1988.
26. M. Zlamal. Finite Element Method in the Heat Conduction Problems. In: J.H. Whiteman, ed. The Mathematics of Finite Element Methods and Applications, Acad. Press, 1975