"Some features of solving the problems of mapping for allocation of chemical elements on stellar surfaces as ill-posed problems with the use of multiprocessor systems"

"Some features of solving the problems of mapping for allocation of chemical elements on stellar surfaces as ill-posed problems with the use of multiprocessor systems"
A.G. Yagola, V.N. Titarenko, M.P. Vasiliev, and E.V. Shimanovskaya

The problem of mapping for allocation of chemical elements on stellar surfaces is considered as an ill-posed one. The minimization of Tikhonov's functional with the choice of a regularization parameter according to the finite-dimensional generalized discrepancy principle is used to construct a regularizing algorithm for solving the problem under consideration. The method based on projections of conjugate gradients onto a set of non-negative vectors is chosen as a method of minimization. An approach to numerical solution of the minimization problem is considered for the above mapping problem. A multiprocessor computer is used to solve several model problems numerically. Some schemes of parallelization are offered and special features of their realization are discussed.

A.G. Yagola, V.N. Titarenko, M.P. Vasiliev, and E.V. Shimanovskaya e-mail: yagola@inverse.phys.msu.ru