New intergrid transfer operator in multigrid method for P1-nonconforming finite element method

被引：3

作者：

Kang, KS ^{[1
]}

Lee, SY ^{[1
]}

机构：

[1] Korea Adv Inst Sci, Dept Math, Taejon 305701, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1999年 / 100卷 / 2-3期

关键词：

multigrid method; nonconforming method; finite element method; second order elliptic problem;

D O I：

10.1016/S0096-3003(98)00033-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a second-order elliptic boundary value problem, We develop an intergrid transfer operator in multigrid method for the P-1-nonconforming finite element method. This intergrid transfer operator needs smaller computation than previous intergrid transfer operators. Multigrid method with this operator converges well, (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：139 / 149

页数：11

共 50 条

[1] Cascadic multigrid method for P1-nonconforming quadrilateral element
Wang, C.
Huang, Z.
Li, L.
JOURNAL OF NUMERICAL MATHEMATICS, 2008, 16 (03) : 237 - 248
[2] Covolume-based intergrid transfer operator in P1 nonconforming multigrid method
Kang, KS
APPLIED NUMERICAL MATHEMATICS, 2004, 51 (01) : 47 - 67
[3] Sharp estimates on intergrid transfer operators for P1-nonconforming element and Morley element
Shi, ZC
Xie, ZH
COMPUTATIONAL SCIENCE FOR THE 21ST CENTURY, 1997, : 189 - 198
[4] P1-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for elliptic problems
Man, FY
Shi, ZC
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 24 (01) : 59 - 80
[5] An extended P1-nonconforming finite element method on general polytopal partitions
Liu, Yujie
Wang, Junping
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 381
[6] AN ANALYSIS OF A BROKEN P1-NONCONFORMING FINITE ELEMENT METHOD FOR INTERFACE PROBLEMS
Kwak, Do Y.
Wee, Kye T.
Chang, Kwang S.
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 48 (06) : 2117 - 2134
[7] P1-nonconforming triangular finite element method for elliptic and parabolic interface problems
Hongbo Guan
Dongyang Shi
Applied Mathematics and Mechanics, 2015, 36 : 1197 - 1212
[8] A STABILIZED P1-NONCONFORMING IMMERSED FINITE ELEMENT METHOD FOR THE INTERFACE ELASTICITY PROBLEMS
Kwak, Do Y.
Jin, Sangwon
Kyeong, Daehyeon
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2017, 51 (01): : 187 - 207
[9] P1-nonconforming triangular finite element method for elliptic and parabolic interface problems
Hongbo GUAN
Dongyang SHI
AppliedMathematicsandMechanics(EnglishEdition), 2015, 36 (09) : 1197 - 1212
[10] P1 nonconforming finite element multigrid method for radiation transport
Kang, KS
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2003, 25 (02): : 369 - 384

← 1 2 3 4 5 →