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

Journal

Numerical Linear Algebra With Applications Wiley-Blackwell

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.

Authors with CRIS profile

Pierre Matalon Lehrstuhl für Informatik 10 (Systemsimulation) (LSS) Ulrich Rüde Lehrstuhl für Informatik 10 (Systemsimulation) (LSS)

Additional Organisation(s)

Lehrstuhl für Informatik 10 (Systemsimulation) (LSS)

Involved external institutions

University of Montpellier / Université Montpellier FR France (FR) Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique (CERFACS) FR France (FR)

How to cite

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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