An Estimate of the Convergence Rate for Difference Schemes for the First Boundary-Value Problem in Elasticity Theory for Domains of an Arbitrary Shape

In this article, using the method of dummy domains and operators of exact difference schemes, we construct a difference scheme for the first boundary-value problem in elasticity theory. The scheme, for domains of an arbitrary shape, has the order of accuracy O(h^1/2)with respect to the norm of W ₂ ¹ ().