Rate of convergence bound of difference schemes for the first boundary-value problem of elasticity theory in arbitrary domains

Abstract

The fictitious domain method and exact difference scheme operators are used to construct a difference scheme for solving the first boundary-value problem of elasticity theory in arbitrary domains. The rate of convergence bound is established for this theorem, where (x) is the polylinear completion of the grid function\(\bar y(x), \bar u(x)\) is the solution of the original problem.