Algebraic Multigrid (AMG) : An Introduction With Applications

By K. Stuben. 2000

300 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/a1c897bda4c3d3c12d314f172b3c0199816d3ea7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Insa Neuweiler
2. Stephan K. Matthäi
3. Hamidreza M. Nick
4. Christopher C. Pain
5. K. Stüben
6. Tom Duckett
7. Udo Frese
8. Per Larsson

Citations in the corpus

• A review of algebraic multigrid (2001, methodology): “This can be ensured to a su cient extent by merely exploiting the connectivity information contained in the matrix (for an algorithm, see [48, 51]).”
• A multilevel relaxation algorithm for simultaneous localization and mapping (2005, methodology): “This algorithm is based on so-called multigrid methods for solving partial differential equations (PDEs) [15], and accelerates the convergence of Gauss–Seidel relaxation by optimizing the map at multiple levels of resolution.”
• Simulation of Solute Transport Through Fractured Rock: A Higher-Order Accurate Finite-Element Finite-Volume Method Permitting Large Time Steps (2010, methodology): “The resulting sparse, positive definite, but asymmetric system of linear algebraic equations is solved using the algebraic multigrid method for systems (SAMG, Ruge and Stüben 1987; Stüben 1999).”