Optimal Interpolation and Compatible Relaxation in Classical Algebraic Multigrid.

Brannick, James.

Cao, Fei.

Kahl, Karsten.

Falgout, Robert D.

Hu, Xiaozhe.

2018

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  • In this paper, we consider a classical algebraic multigrid (AMG) form of optimal interpolation that directly minimizes the two-grid convergence rate and compare it with a so-called ideal interpolation that minimizes a weak approximation property of the coarse space. We study compatible relaxation type estimates for the quality of the coarse grid and derive a new sharp measure using optimal ... read more
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  • Brannick, James, Fei Cao, Karsten Kahl, Robert D. Falgout, and Xiaozhe Hu. "Optimal Interpolation and Compatible Relaxation in Classical Algebraic Multigrid." SIAM Journal on Scientific Computing 40, no. 3 (January 2018): A1473-A1493. doi:10.1137/17m1123456.
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