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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

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 \(\| \vec y- \vec u\|_{w^ 1_ 2(\omega)}\leq Mh\| \vec u\|_{W^ 2_ 2(\Omega)}\).

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
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