An efficient numerical parameter estimation scheme for the space-dependent dispersion coefficient of a solute transport equation in porous media

Authors:
Jaemin Ahn;Chung-Ki Cho;Sungkwon Kang
Affiliations:
Department of Mathematics, POSTECH, Pohang, 790-784, South Korea;Department of Mathematics, Soonchunhyang University, Asan, 336-745, South Korea;Department of Mathematics, Chosun University, Gwangju, 501-759, South Korea
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

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Abstract

An efficient numerical parameter estimation scheme for the space-dependent dispersion coefficient of a solute transport equation in porous media is developed. It is based on an optimization scheme, a fast inverse Laplace transform, and the Galerkin method. The computational costs of the method developed are reduced significantly compared with those of conventional methods. The accuracy and efficiency of the method are shown through numerical experiments.