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.
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© 2003 Springer Science+Business Media New York
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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
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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