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

被引：1

作者：

Di Pietro, Daniele A. ^{[1
]}

Matalon, Pierre ^{[1
,2
,3
]}

Mycek, Paul ^{[2
]}

Ruede, Ulrich ^{[2
,3
]}

机构：

[1] Univ Montpellier, CNRS, IMAG, Montpellier, France

[2] CERFACS, Toulouse, France

[3] FAU, Erlangen, Germany

来源：

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2023年 / 30卷 / 01期

关键词：

elliptic partial differential equation; hybrid high-order; multigrid; coarsening strategy; LOCKING; GRADIENT;

D O I：

10.1002/nla.2456

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study compares various multigrid strategies for the fast solution of elliptic equations discretized by the hybrid high-order method. Combinations of h$$ h $$-, p$$ p $$-, and hp$$ hp $$-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.

引用

页数：22

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