A mixed least squares method for an inverse problem of anonlinear beam equation zRichard
نویسنده
چکیده
We discuss a nite element method based on the mixed least-squares formulation. The cost functional turns out to be a polynomial so that its gradient and Hessian can be computed eeciently. A multi-level Newton iteration is introduced for minimizing the cost functional that can converge from a rough initial guess. Error estimates are derived which not only are optimal in certain connguration, but also supply rules for choosing regularization parameters according to the mesh size and the random noise in the data.
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