Homogeneous multigrid for embedded discontinuous Galerkin methods

被引：1

作者：

Lu, Peipei ^{[1
]}

Rupp, Andreas ^{[2
]}

Kanschat, Guido ^{[3
,4
]}

机构：

[1] Soochow Univ, Dept Math Sci, Suzhou 215006, Peoples R China

[2] Lappeenranta Lahti Univ Technol, Sch Engn Sci, Lappeenranta, Finland

[3] Heidelberg Univ, Interdisciplinary Ctr Sci Comp IWR, Mathematikon, Neuenheimer Feld 205, D-69120 Heidelberg, Germany

[4] Heidelberg Univ, Math Ctr Heidelberg MATCH, Mathematikon, Neuenheimer Feld 205, D-69120 Heidelberg, Germany

来源：

BIT NUMERICAL MATHEMATICS | 2022年 / 62卷 / 03期

关键词：

Multigird method; Embedded discontinuous Galerkin; Poisson equation; CYCLE;

D O I：

10.1007/s10543-021-00902-y

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We formulate a multigrid method for an embedded discontinuous Galerkin (EDG) discretization scheme for Poisson's equation. This multigrid method is homogeneous in the sense that it uses the same discretization scheme on all levels. In particular, we use the injection operator developed in Lu et al. (IMA J Numer Anal, 2021) for HDG and show optimal convergence rates under the assumption of elliptic regularity. Our analytical findings are underlined by numerical experiments.

引用

页码：1029 / 1048

页数：20

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