Abstract
Numerical identification of diffusion parameters in a nonlinear convection–diffusion equation is studied. This partial differential equation arises as the saturation equation in the fractional flow formulation of the two-phase porous media flow equations. The forward problem is discretized with the finite difference method, and the identification problem is formulated as a constrained minimization problem. We utilize the augmented Lagrangian method and transform the minimization problem into a coupled system of nonlinear algebraic equations, which is solved efficiently with the nonlinear conjugate gradient method. Numerical experiments are presented and discussed.
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This work was partially supported by the Research Council of Norway (NFR), under grant 128224/431.
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Nilssen, T.K., Karlsen, K.H., Mannseth, T. et al. Identification of diffusion parameters in a nonlinear convection–diffusion equation using the augmented Lagrangian method. Comput Geosci 13, 317–329 (2009). https://doi.org/10.1007/s10596-008-9120-z
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DOI: https://doi.org/10.1007/s10596-008-9120-z