Algebraic multigrid for complex symmetric matrices and applications
Journal of Computational and Applied Mathematics
Conceptual interfaces in hypre
Future Generation Computer Systems
Journal of Computational and Applied Mathematics
Conceptual interfaces in hypre
Future Generation Computer Systems
Algebraic Multigrid for Linear Systems Obtained by Explicit Element Reduction
SIAM Journal on Scientific Computing
An agglomerate multilevel preconditioner for linear isostasy saddle point problems
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
On the utilization of edge matrices in algebraic multigrid
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
An Algebraic Multigrid Method with Guaranteed Convergence Rate
SIAM Journal on Scientific Computing
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This paper contains the main ideas for an AMGe (algebraic multigrid for finite elements) method based on element agglomeration. In the method, coarse grid elements are formed by agglomerating fine grid elements. Compatible interpolation operators are constructed which yield coarse grid basis functions with a minimal energy property. Heuristics based on interpolation quality measures are used to guide the agglomeration procedure. The performance of the resulting method is demonstrated in two-level numerical experiments.