High-order multigrid strategies for hybrid high-order discretizations of elliptic equations

Di Pietro DA, Matalon P, Mycek P, Rüde U (2022)


Publication Type: Journal article

Publication year: 2022

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DOI: 10.1002/nla.2456

Abstract

This study compares various multigrid strategies for the fast solution of elliptic equations discretized by the hybrid high-order method. Combinations of (Formula presented.) -, (Formula presented.) -, and (Formula presented.) -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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APA:

Di Pietro, D.A., Matalon, P., Mycek, P., & Rüde, U. (2022). High-order multigrid strategies for hybrid high-order discretizations of elliptic equations. Numerical Linear Algebra With Applications. https://doi.org/10.1002/nla.2456

MLA:

Di Pietro, Daniele A., et al. "High-order multigrid strategies for hybrid high-order discretizations of elliptic equations." Numerical Linear Algebra With Applications (2022).

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