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High-order multigrid strategies for HHO discretizations of elliptic equations

Abstract : This study compares various multigrid strategies for the fast solution of elliptic equations discretized by the Hybrid High-Order method. Combinations of h-, p-and hp-coarsening strategies are considered, combined with diverse intergrid transfer operators. Comparisons are made experimentally on 2D and 3D test cases, with structured and unstructured meshes, and with nested and non-nested hierarchies. Advantages and drawbacks of each strategy are discussed for each case to establish simplified guidelines for the optimization of the time to solution.
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Submitted on : Thursday, May 19, 2022 - 1:57:51 PM
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  • HAL Id : hal-03531293, version 2

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Daniele Antonio Di Pietro, Pierre Matalon, Paul Mycek, Ulrich Rüde. High-order multigrid strategies for HHO discretizations of elliptic equations. Numerical Linear Algebra with Applications, Wiley, In press. ⟨hal-03531293v2⟩

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