Two‐grid iteration method for weakly singular integral equations

Abstract

For the solution of weakly singular integral equations by the piecewise polynomial collocation method it is necessary to solve large linear systems. In the present paper a two‐grid iteration method for solving such systems is constructed and the convergence of this method is investigated.

Sprendžiant silpnai singuliarias integralines lygtis gabalais polinominiu kolokaciju metodu tenka spresti dideles dimensijos tiesiniu lygčiu sistemas. Šiame darbe tokios sistemos sprendžiamos dvitinkliu iteraciniu metodu. Ištirtas iteracinio metodo konvergavimas, gauti konvergavimo greičio iverčiai.

Notes

This research was supported by the Estonian Science Foundation, grant No. 2999.