On the convergence of difference schemes for the approximation of solutionsu ∈ W2m (m>0.5) of elliptic equations with mixed derivatives Academic Article uri icon

abstract

  • The paper deals with such estimates of the rate of convergence of difference methods, which are compatible with the smoothness of the exact solution u ∈ W2m(Ω), m>0.5, of elliptic equations with mixed derivatives: The error in the norm of the discrete Sobolev space W2s(ω), ω denoting the set of grid points, is shown to be of the order O(|h|m-s), 0≦s

author list (cited authors)

  • Lazarov, R. D., Makarov, V. L., & Weinelt, W.

citation count

  • 18

publication date

  • June 1984