Semivariational numerical model of pre linear filtration with the special emphasis on nonlinear sources
Abstract
The initial- boundary value problem for quasi- linear parabolic equation with distribution coefficient modeling the nonlinear filtration is discussed. The presented results constitute extension of the earlier works of the authors concerning the filtration problem in the domains without sources to the case of filtration in the presence of sources.
References
[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. Domagała, B. Kotkowski. GUJ, Graphic tools and MPEG animation in the OCTOPUS environment (to appear in Proc. of MKM '95 Conf) .
[5] M. Domagała, R.F. Schaefer. Application of compression movies standard MPEG to animation of nonstationary solutions (to appear in Proc. of MKM '95 Conf.).
[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. Domagała, B. Kotkowski. GUJ, Graphic tools and MPEG animation in the OCTOPUS environment (to appear in Proc. of MKM '95 Conf) .
[5] M. Domagała, R.F. Schaefer. Application of compression movies standard MPEG to animation of nonstationary solutions (to appear in Proc. of MKM '95 Conf.).
Published
2023-07-14
Issue
pp. 83-96
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Schaefer, R., & Sędziwy, S. (2023). Semivariational numerical model of pre linear filtration with the special emphasis on nonlinear sources. Computer Assisted Methods in Engineering and Science, 3(2), 83-96. https://cames3.ippt.pan.pl/index.php/cames/article/view/1447
