Geodesic
Application of multiprocessor systems for solving inverse problems leading to Fredholm integral equations of the first kind
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 222-234

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We consider the peculiarities of applying multiprocessor systems for solving inverse problems leading to multidimensional Fredholm integral equations of the first kind for a vector function. A parallel algorithm for solving problems of this kind is proposed for the two- and three-dimensional cases, which are the most general from the practical point of view. The efficiency of the proposed approach is shown by an example of solving the inverse problem of recovering magnetization parameters of a ship from measured values of the magnetic field outside its hull.
Keywords: inverse problems, ill-posed problems, Fredholm integral equation of the first kind, Tikhonov regularization method, parallel computing, recovery of magnetization parameters. 
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D. V. Luk'yanenko; A. G. Yagola. Application of multiprocessor systems for solving inverse problems leading to Fredholm integral equations of the first kind. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 222-234. http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a16/