典型文献
Uniform Subspace Correction Preconditioners for Discontinuous Galerkin Methods with hp-Refinement
文献摘要：
In this paper,we develop subspace correction preconditioners for discontinuous Galerkin(DG)discretizations of elliptic problems with hp-refinement.These preconditioners are based on the decomposition of the DG finite element space into a conforming subspace,and a set of small nonconforming edge spaces.The conforming subspace is preconditioned using a matrix-free low-order refined technique,which in this work,we extend to the hp-refinement context using a variational restriction approach.The condition number of the resulting linear system is independent of the granularity of the mesh h,and the degree of the polynomial approximation p.The method is amenable to use with meshes of any degree of irregularity and arbitrary distribution of polynomial degrees.Numerical exam-ples are shown on several test cases involving adaptively and randomly refined meshes,using both the symmetric interior penalty method and the second method of Bassi and Rebay(BR2).
文献关键词：
中图分类号：
作者姓名：
Will Pazner;Tzanio Kolev
作者机构：
Lawrence Livermore National Laboratory,Center for Applied Scientific Computing,Livermore,CA,USA
文献出处：
引用格式：
[1]Will Pazner;Tzanio Kolev-.Uniform Subspace Correction Preconditioners for Discontinuous Galerkin Methods with hp-Refinement)[J].应用数学与计算数学学报,2022(02):697-727
A类：
Preconditioners,preconditioners,nonconforming,Bassi,Rebay
B类：
Uniform,Subspace,Correction,Discontinuous,Galerkin,Methods,hp,Refinement,In,this,paper,we,develop,subspace,correction,discontinuous,DG,discretizations,elliptic,problems,refinement,These,are,decomposition,finite,element,into,set,small,edge,spaces,preconditioned,using,matrix,free,low,order,refined,technique,which,work,extend,context,variational,restriction,approach,number,resulting,linear,system,independent,granularity,polynomial,approximation,method,amenable,use,meshes,any,irregularity,arbitrary,distribution,degrees,Numerical,exam,ples,shown,several,test,cases,involving,adaptively,randomly,both,symmetric,interior,penalty,second,BR2
AB值：
0.591966
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