Abstract
In this chapter, we describe the Black-Box Multigrid (BBMG) method for the solution of a family of large sparse linear systems arising from elliptic PDEs. This method is a matrix-based multigrid method that is suitable for uniform, rectangular grids and coefficient matrices with 9-point stencil. We also show how the method should be modified for a most difficult problem arising from the finite-volume discretization of a diffusion problem with discontinuous coefficients. The method can be easily extended to uniform cubic grids and coefficient matrices with 27-point stencil.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media New York
About this chapter
Cite this chapter
Shapira, Y. (2003). The Black-Box Multigrid Method. In: Matrix-Based Multigrid. Numerical Methods and Algorithms, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3726-4_7
Download citation
DOI: https://doi.org/10.1007/978-1-4757-3726-4_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-3728-8
Online ISBN: 978-1-4757-3726-4
eBook Packages: Springer Book Archive