Application of multiprocessor systems for solving three-dimensional Fredholm integral equations of the first kind for vector functions

Authors

Keywords:

three-dimensional Fredholm integral equations of the first-kind, conjugate gradient method, Tikhonov regularization, parallel algorithms

Abstract

Some features of the numerical implementation of solving tree-dimensional Fredholm integral equations of the first kind for vector-functions with application of multiprocessor systems are considered. The Tikhonov regularization is applied to solve this ill-posed problem. The conjugate gradient method is used as a minimization procedure. The choice of the regularization parameter is performed according to the generalized discrepancy principle. A parallelization scheme for this problem is proposed; the efficiency of the approach under consideration is shown by the example of restoring magnetization parameters. This work was supported by the Russian Foundation for Basic Research (projects N 08-01-00160-a and N 10-01-91150-NFSC). The numerical results were obtained using the Computing Cluster of Moscow State University.

Author Biographies

D.V. Lukyanenko

A.G. Yagola

References

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Published

26-10-2010

How to Cite

Лукьяненко Д., Ягола А. Application of Multiprocessor Systems for Solving Three-Dimensional Fredholm Integral Equations of the First Kind for Vector Functions // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2010. 11. 336-343

Issue

Section

Section 1. Numerical methods and applications

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