典型文献
p-Multilevel Preconditioners for HHO Discretizations of the Stokes Equations with Static Condensation
文献摘要：
We propose a p-multilevel preconditioner for hybrid high-order(HHO)discretizations of the Stokes equation,numerically assess its performance on two variants of the method,and compare with a classical discontinuous Galerkin scheme.An efficient implementa-tion is proposed where coarse level operators are inherited using L2-orthogonal projec-tions defined over mesh faces and the restriction of the fine grid operators is performed recursively and matrix-free.Both h-and k-dependency are investigated tackling two-and three-dimensional problems on standard meshes and graded meshes.For the two HHO for-mulations,featuring discontinuous or hybrid pressure,we study how the combination of p-coarsening and static condensation influences the V-cycle iteration.In particular,two dif-ferent static condensation procedures are considered for the discontinuous pressure HHO variant,resulting in global linear systems with a different number of unknowns and matrix non-zero entries.Interestingly,we show that the efficiency of the solution strategy might be impacted by static condensation options in the case of graded meshes.
文献关键词：
中图分类号：
作者姓名：
Lorenzo Botti;Daniele A.Di Pietro
作者机构：
Department of Engineering and Applied Sciences,University of Bergamo,Bergamo,Italy;IMAG,Univ Montpellier,CNRS,Montpellier,France
文献出处：
引用格式：
[1]Lorenzo Botti;Daniele A.Di Pietro-.p-Multilevel Preconditioners for HHO Discretizations of the Stokes Equations with Static Condensation)[J].应用数学与计算数学学报,2022(03):783-822
A类：
Preconditioners,Discretizations,implementa,mulations
B类：
Multilevel,HHO,Stokes,Equations,Static,Condensation,We,multilevel,preconditioner,hybrid,high,order,discretizations,equation,numerically,assess,its,performance,two,variants,method,compare,classical,discontinuous,Galerkin,scheme,An,efficient,proposed,where,operators,inherited,using,L2,orthogonal,projec,defined,over,faces,restriction,grid,performed,recursively,matrix,free,Both,dependency,investigated,tackling,three,dimensional,problems,standard,meshes,graded,For,featuring,pressure,we,study,combination,coarsening,static,condensation,influences,cycle,iteration,particular,procedures,considered,resulting,global,linear,systems,different,number,unknowns,zero,entries,Interestingly,show,that,efficiency,solution,strategy,might,impacted,by,options,case
AB值：
0.585528
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
