On the iterative methods for linear problems with discontinuous coefficients

Article type: Research Article

Authors: Aleinikova, Tatyana | Čiegis, Raimondas

Affiliations: Institute of Mathematics Belarussian Academy of Sciences, 220604 Minsk, Surganova St. 11, Belarus | Institute of Mathematics and Informatics, 2600 Vilnius, Akademijos St. 4, Lithuania

Abstract: This paper is devoted to the investigation of the investigation of the convergence of iterative methods for solving boundary value problems with discontinuous coefficients. The dependence of the rate of convergence on the size of the discontinuity of coefficients is analyzed for three popular general iterative methods. A new criterion on the applicability of such methods is proposed and investigated. The efficiency of this criterion is demonstrated for a model problem.

Keywords: iterative methods, boundary value problems, discontinuous coefficients, numerical simulation

DOI: 10.3233/INF-1993-41-208

Journal: Informatica, vol. 4, no. 1-2, pp. 126-139, 1993