Abstract: | We consider an eigenfunction problem for a system of Lamé equations in a three-dimensional parallelepiped in the case of a
mixed boundary-value condition on the boundary. By using Steklov averaging operators, the approximation error is given in
divergent form. The accuracy of the difference scheme is studied for generalized solutions from the spaceW
2
3(Ω). An O(|h|1.5)-estimate is obtained for eigenfunctions in the grid metric ofW
2
1(ω). Bibliography: 5 titles.
Translated fromObchyslyuval'na ta Prykladna Matematyka, No. 81, 1997, pp. 100–109. |