Inverse problem for the prelinear filtration of ground water

  • Zdzisław Denkowski Jagiellonian University
  • Stanisław Migórski Jagiellonian University
  • Robert Schaefer Jagiellonian University
  • Henryk Telega Jagiellonian University

Abstract

A parameter identification problem for nonlinear parabolic equation describing the prelinear filtration phenomenon is considered. It is shown that the problem admits a non-empty solution set which is stable with respect to perturbations in the cost functional and the data. The numerical method for solving the inverse problem is given and the computational results are presented.

Keywords

References

[1] N.U. Ahmed. Optimization and Identification of Systems Governed by Evolution Equations on Banach Space. Pitman, Longman Scientific and Technical, 1988.
[2] H. Attouch. Variational Convergence for Functions and Operators. Pitman, London, 1984.
[3] C. Baiocchi and A. Capelo. Variational and Quasivariational Inequalities: Applications to Free Boundary Problems . Springer-Verlag, 1984.
[4] H.T. Banks, S. Reich, I.G . Rosen. Galerkin approximation of inverse problems for nonautonomous nonlinear distributed systems. Appl. Math. Optim. 24: 233- 256, 1991.
[5] V. Barbu. Analysis and Control of Nonlinear Infinite Dimensional Systems. Academic Press, Boston, 1993.
Published
Jul 14, 2023
How to Cite
DENKOWSKI, Zdzisław et al. Inverse problem for the prelinear filtration of ground water. Computer Assisted Methods in Engineering and Science, [S.l.], v. 3, n. 2, p. 97-107, july 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1448>. Date accessed: 23 dec. 2024.
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Issue
Vol 3 No 2 (1996)
Section
Articles
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