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• Smoothed Aggregation AMG Theory and Compatible Relaxation AMG for Electromagnetic Problems

By Robert D. Falgout, Parallel Multigrid, Algebraic Multigrid and Adaptive Amg

Abstract

� Consider solving the N�N linear system � Most iterative methods have the following form, where r k=f- Au k is the residual at iteration k � Let e k=u- u k be the error, and note that r k=Ae k � The error propagation for the iterative method is Lawrence Livermore National Laboratory 3 Multigrid linear solvers are optimal (O(N) operations), and hence have good scaling potential Time to Solutio

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.363.5737
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