Approximate solution of third boundary-value problem for second-order elliptic equation in domains of arbitrary shape

The fictitious domain method is applied to construct a difference scheme for solving the third boundary-value problem for a second-order elliptic equation in domains of arbitrary shape. A rate of convergence bound is derived.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 60, pp. 3–7, 1986.