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- W4281569174 abstract "This work, building on previous efforts, develops a suite of new graph neural network machine learning architectures that generate data-driven prolongators for use in Algebraic Multigrid (AMG). Algebraic Multigrid is a powerful and common technique for solving large, sparse linear systems. Its effectiveness is problem dependent and heavily depends on the choice of the prolongation operator, which interpolates the coarse mesh results onto a ?ner mesh. Previous work has used recent developments in graph neural networks to learn a prolongation operator from a given coef?cient matrix. In this paper, we expand on previous work by exploring architectural enhancements of graph neural networks. A new method for generating a training set is developed which more closely aligns to the test set. Asymptotic error reduction factors are compared on a test suite of 3-dimensional Poisson problems with varying degrees of element stretching. Results show modest improvements in asymptotic error factor over both commonly chosen baselines and learning methods from previous work." @default.
- W4281569174 created "2022-05-27" @default.
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- W4281569174 date "2021-11-01" @default.
- W4281569174 modified "2023-09-26" @default.
- W4281569174 title "Learning an Algebriac Multrigrid Interpolation Operator Using a Modified GraphNet Architecture" @default.
- W4281569174 doi "https://doi.org/10.2172/1859673" @default.
- W4281569174 hasPublicationYear "2021" @default.
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