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
Keywords:
некорректная задача, задача картирования, функционал Тихонова, многопроцессорные системы, доплеровское смещениеAbstract
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.
References
- Гончарский А.В., Черепащук А.М., Ягола А.Г. Некорректные задачи астрофизики. М.: Наука, 1985.
- Тихонов А.Н., Леонов А.С., Ягола А.Г. Нелинейные некорректные задачи. М.: Наука, 1995.
- Гончарский А.В., Степанов В.В., Хохлова В.Л., Ягола А.Г. Восстановление локальных профилей линий по наблюдаемым в спектре Ap-звезд // Письма в Астрон. журн. 1977. 3, № 6. 278-282.
- Вычислительный кластер НИВЦ МГУ (http://parallel.ru/cluster).
- MPI: A Message-Passing Interface standard // The Message Passing Interface Forum, Version 1.1, June 12, 1995 (http://www.mpi-forum.org).