Some convergence rate estimates for finite difference schemes

Authors

  • Boško S. Jovanović University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Belgrade, Yugoslavia Author
  • Branislav Z. Popović University of Kragujevac, Faculty of Science, Radoja Domanovića 12, 34000 Kragujevac, Yugoslavia Author

Keywords:

Boundary Value Problems (BVP), Finite Difference Schemes (FDS), Sobolev Spaces, Interpolation of Function Spaces, Convergence Rate Estimates

Subjects:

65N15, 46B70

Abstract

In this work we use function space interpolation to prove some convergence rate estimates for finite difference schemes. We concentrate on a Dirichlet boundary value problem for a second-order linear elliptic equation with variable coefficients in the unit 3-dimensional cube. We assume that the solution to the problem and the coefficients of the equation belong to corresponding Sobolev spaces.

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Published

1997-10-15

Issue

Vol. 49 No. 3–4 (1997): Vol. 49, Issue 3–4

Section

Articles

License

Copyright (c) 1997 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.