Solution of inverse problems to detect permissible design spaces
نویسندگان
چکیده
منابع مشابه
Neural Network Based Solution to Inverse Problems
The weILposedr7ess of the problems is not always guaranteed in inverse problems, unlike the forward problems. Dnts, a number of methods for giving wellposedrjess hm?e been studied in mathematical fields. In the ,field qf neural! networks, the network inversion method. for solving inverse problems was proposed; it is useflll but does not dissolute the ill-posedness of inverse problems. To overco...
متن کاملInverse problems in spaces of measures
The ill-posed problem of solving linear equations in the space of vector-valued finite Radon measures with Hilbert-space data is considered. The well-posedness of regularization by minimizing the Tikhonov functional is established and further regularization properties are studied. In particular, the convergence rate of O(δ) for the Bregman distance under a source condition is obtained. Furtherm...
متن کاملA Nonlinear Solution of Inverse Problems
We consider here a classical problem of estimating or approximating a density given the information consisting of the values of some of its integrals. The method will have direct applications in many problems of density, spectral density and image analysis which will not be treated in any detail here. One widely used method chooses the density which minimizes a cross entropy functional. We prop...
متن کاملNumerical solution of inverse Sturm–Liouville problems
A new algorithm is proposed for solving the inverse Sturm–Liouville problem of reconstructing a symmetric potential from eigenvalues. It uses Numerov’s method instead of the second order method of the related algorithm of Fabiano, Knobel and Lowe. An extension by Andrew and Paine of the asymptotic correction technique of Paine, de Hoog and Anderssen is the key to the success of the new algorith...
متن کاملMulti-Level Approach to Numerical Solution of Inverse Problems
Mathematical modeling of an engineering system often leads to such formulations for which one can not obtain a closed form solution/analysis, and thus numerical methods are to be used. In the process, we need to transform the system from an infinite dimensional space to a finite dimensional one(discretization). The result is usually a system of linear equations[5] for which the linear least squ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PAMM
سال: 2011
ISSN: 1617-7061
DOI: 10.1002/pamm.201110355