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- W2008657923 abstract "We consider the inverse problem of recovery of unknown coefficient functions in differential equations. The set of PDEs constituting the current forward model describes a special case of two-phase porous-media flow. The focus of the paper is on the influence of different length scales on parameter estimation efficiency. The investigation into these issues is facilitated by applying a multiscale spline wavelet parametrization of the unknown function. Earlier investigations with an ODE forward model found that use of the multiscale Haar parametrization had a positive effect on the estimation efficiency of a quasi-Newton algorithm. Recently, a way to systematically enhance these effects has been suggested. In this paper, we further this approach with the Levenberg-Marquardt algorithm. This results in three variants of the Levenberg-Marquardt algorithm, each incorporating a possibility to enhance multiscale effects. Through numerical experiments with the PDE forward model, we assess the estimation efficiency of the variants when varying the enhancement of multiscale effects." @default.
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- W2008657923 date "2000-03-10" @default.
- W2008657923 modified "2023-10-14" @default.
- W2008657923 title "Multiscale estimation with spline wavelets, with application to two-phase porous-media flow" @default.
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- W2008657923 doi "https://doi.org/10.1088/0266-5611/16/2/304" @default.
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