Vojtsekhovskij, S. A.; Kalinin, V. M.; Makarov, V. L. Estimation of the convergence rate of difference schemes for the system of equations of equilibrium of a nonhomogeneous, anisotropic, elastic rigid body in conditions of rigid fastening. (Russian) Zbl 0711.73269 Vychisl. Prikl. Mat., Kiev 62, 14-19 (1987). Summary: A system of equations of equilibrium of a nonhomogeneous anisotropic elastic rigid body with rigid fastening is considered. Basing on operators of exact difference schemes a difference scheme for the problem is derived and the convergence velocity is estimated by \(\| \vec y- \vec u\|_{w^ 1_ 2(\omega)}\leq Mh\| \vec u\|_{W^ 2_ 2(\Omega)}\). Cited in 1 Review MSC: 74S20 Finite difference methods applied to problems in solid mechanics 41A25 Rate of convergence, degree of approximation 74E05 Inhomogeneity in solid mechanics 74E10 Anisotropy in solid mechanics 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs PDFBibTeX XMLCite \textit{S. A. Vojtsekhovskij} et al., Vychisl. Prikl. Mat. 62, 14--19 (1987; Zbl 0711.73269)