Homogeneous multigrid for embedded discontinuous Galerkin methods

被引：0
|
作者：
Peipei Lu
Andreas Rupp
Guido Kanschat
机构：
[1] Soochow University,Department of Mathematics Sciences
[2] Lappeenranta–Lahti University of Technology,School of Engineering Science
[3] Heidelberg University,Interdisciplinary Center for Scientific Computing (IWR) and Mathematics Center Heidelberg (MATCH)
来源：
BIT Numerical Mathematics | 2022年 / 62卷
关键词：
Multigird method; Embedded discontinuous Galerkin; Poisson equation; 65F10; 65N30; 65N50;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1029 / 1048
页数：19
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