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DOE OSTI · 1845210

A New Class of AMG Interpolation Methods Based on Matrix-Matrix Multiplications

Li, Ruipeng·Sjogreen, Bjorn·Yang, Ulrike Meier
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Abstract

A new class of distance-two interpolation methods for algebraic multigrid (AMG) that can be formulated in terms of sparse matrix-matrix multiplications is presented and analyzed. Compared with similar distance-two prolongation operators, the proposed algorithms exhibit improved efficiency and portability to various computing platforms, since they allow one to easily exploit existing high-performance sparse matrix kernels. The new interpolation methods have been implemented in hypre, a widely used parallel multigrid solver library. With the proposed interpolations, the overall time of hypre's BoomerAMG setup can be considerably reduced, while sustaining equivalent, sometimes improved, convergence rates. Numerical results for a variety of test problems on parallel machines are presented that support the superiority of the proposed interpolation operators over the existing ones in hypre.

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97 MATHEMATICS AND COMPUTINGAMG interpolationSparse matrix computationparallel and distributed computing

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Li, Ruipeng, Sjogreen, Bjorn, Yang, Ulrike Meier. 2021-07-19. A New Class of AMG Interpolation Methods Based on Matrix-Matrix Multiplications. https://doi.org/10.1137/20m134931x

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