An estimate for the convergence rate of difference schemes for second-order elliptic equations in domains of arbitrary shape

Using the dummy-domains method, a difference scheme is constructed for solving the first boundary-value problem for elliptic equations of the second order in domains of arbitrary shape. An estimate for the convergence rate of order O(h^1/2) in the norm of W ₂ ¹ is found. Bibliography:5 titles. Translated fromObchyslyuval’na ta Prykladna Matematyka, No. 77, 1993, pp. 12–18