Construction of Grid Operators for Multilevel Solvers: a Neural Network Approach

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Abstract

Multigrid (MG) methods are among the most successful strategies for solving linearsystems arising from discretized elliptic equations. The main idea is to combinedifferent levels of approximation in a multilevel hierarchy to compute the solution:it is possible to show that this algorithm is effective on the entire spectrum, thusleading to an optimal convergence property [2, 3].

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Tomasi, C., & Krause, R. (2022). Construction of Grid Operators for Multilevel Solvers: a Neural Network Approach. In Lecture Notes in Computational Science and Engineering (Vol. 145, pp. 579–587). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-95025-5_63

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