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

  • Robert Schaefer Jagiellonian University
  • Stanisław Sędziwy Jagiellonian University

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.

Keywords

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.).
Published
Jul 14, 2023
How to Cite
SCHAEFER, Robert; SĘDZIWY, Stanisław. Semivariational numerical model of pre linear filtration with the special emphasis on nonlinear sources. Computer Assisted Methods in Engineering and Science, [S.l.], v. 3, n. 2, p. 83-96, july 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1447>. Date accessed: 13 nov. 2024.
Citation Formats
Issue
Vol 3 No 2 (1996)
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.