Solution of inverse problems in contaminant transport with adsorption
Kačur, J., Remešíková, M., Malengier, B.
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Kačur, J., Remešíková, M., Malengier, B.
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Denis Constales, Jozef Kačur (2001)
Mathematica Bohemica
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In this paper we discuss inverse problems in infiltration. We propose an efficient method for identification of model parameters, e.g., soil parameters for unsaturated porous media. Our concept is strongly based on the finite speed of propagation of the wetness front during the infiltration into a dry region. We determine the unknown parameters from the corresponding ODE system arising from the original porous media equation. We use the automatic differentiation implemented in the ODE...
Fatma Kanca (2017)
Open Mathematics
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This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown. Finally, some numerical experiments are presented.
Fatullayev, Afet Golayoğlu (2002)
Mathematical Problems in Engineering
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Constales, D., Kačur, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Hossein Azari, Shu Hua Zhang (2009)
Applications of Mathematics
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In this article we transform a large class of parabolic inverse problems into a nonclassical parabolic equation whose coefficients consist of trace type functionals of the solution and its derivatives subject to some initial and boundary conditions. For this nonclassical problem, we study finite element methods and present an immediate analysis for global superconvergence for these problems, on basis of which we obtain a posteriori error estimators.