A finite element method for hydraulic conductivity identification in a seawater intrusion problem
This work presents a numerical method to automatically identify hydraulic conductivity in the seawater intrusion problem when a sharp interface approach is used. The mathematical formulation is based on the optimal control theory. A Lagrangian operator, whose partial derivatives provide, respectively, the state equations, the adjoint equations and the optimality condition, is introduced. The ill-posedness of the problem and the multiple minima difficulties are addressed through a combination of Tikhonov or total variation regularization with a multiscaling procedure. By numerical examples we show the effectiveness of total variation regularization for discontinuous parameters and the ability of the multiscaling approach to get the global solution. (C) 2007 Elsevier Ltd. All rights reserved.
finite element method hydraulic conductivity identification seawater intrusion problem optimal control gnu public license libraries c/c plus