MULTIGRID METHODS FOR 3D H (curl) PROBLEMS WITH NONOVERLAPPING DOMAIN DECOMPOSITION SMOOTHERS

被引：0
|
作者：
Oh, Duk-soon [1 ]
机构：
[1] Chungnam Natl Univ, Dept Math, Daejeon 34134, South Korea
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 61卷 / 04期
关键词：
Multigrid method; nonoverlapping domain decomposition; H(curl); Nedelec finite element; MAXWELLS EQUATIONS; H(CURL); CONVERGENCE; H(DIV);
D O I：
10.4134/JKMS.j230054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose V-cycle multigrid methods for vector field problems arising from the lowest order hexahedral Ne<acute accent>de<acute accent>lec finite element. Since the conventional scalar smoothing techniques do not work well for the problems, a new type of smoothing method is necessary. We introduce new smoothers based on substructuring with nonoverlapping domain decomposition methods. We provide the convergence analysis and numerical experiments that support our theory.
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页码：659 / 681
页数：23
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