A type of cascadic multigrid method for coupled semilinear elliptic equations

Fei Xu; Qiumei Huang

doi:10.1007/s11075-019-00690-1

A type of cascadic multigrid method for coupled semilinear elliptic equations

Numerical Algorithms ◽

10.1007/s11075-019-00690-1 ◽

2019 ◽

Vol 83 (2) ◽

pp. 485-510

Author(s):

Fei Xu ◽

Qiumei Huang

Keyword(s):

Elliptic Equations ◽

Multigrid Method ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic ◽

Cascadic Multigrid ◽

Cascadic Multigrid Method

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A Cascadic Multigrid Method for Semilinear Elliptic Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1710-m2017-0067 ◽

2019 ◽

Vol 37 (1) ◽

pp. 112-129

Author(s):

Fei Xu and Fusheng Luo

Keyword(s):

Elliptic Equations ◽

Multigrid Method ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic ◽

Cascadic Multigrid ◽

Cascadic Multigrid Method

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A cascadic multigrid method for a kind of semilinear elliptic problem

Numerical Algorithms ◽

10.1007/s11075-011-9450-0 ◽

2011 ◽

Vol 58 (2) ◽

pp. 143-162 ◽

Cited By ~ 6

Author(s):

Haixiong Yu ◽

Jinping Zeng

Keyword(s):

Elliptic Problem ◽

Multigrid Method ◽

Semilinear Elliptic Problem ◽

Semilinear Elliptic ◽

Cascadic Multigrid ◽

Cascadic Multigrid Method

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An Adaptive Multigrid Method for Semilinear Elliptic Equations

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.061118.070419 ◽

2019 ◽

Vol 9 (4) ◽

Cited By ~ 2

Author(s):

Fei Xu ◽

Qiumei Huang ◽

Shuangshuang Chen ◽

Tao Bing

Keyword(s):

Elliptic Equations ◽

Multigrid Method ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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Local and parallel multigrid method for semilinear elliptic equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.002 ◽

2021 ◽

Vol 162 ◽

pp. 20-34

Author(s):

Fei Xu ◽

Qiumei Huang ◽

Kun Jiang ◽

Hongkun Ma

Keyword(s):

Elliptic Equations ◽

Multigrid Method ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic ◽

Parallel Multigrid

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On the convergence of a cascadic multigrid method for semilinear elliptic problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.10.022 ◽

2004 ◽

Vol 159 (2) ◽

pp. 407-417 ◽

Cited By ~ 4

Author(s):

Shuzi Zhou ◽

Hexing Hu

Keyword(s):

Elliptic Problem ◽

Multigrid Method ◽

Semilinear Elliptic Problem ◽

Semilinear Elliptic ◽

Cascadic Multigrid ◽

Cascadic Multigrid Method

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Some results for semilinear elliptic equations with critical potential

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s030821050200001x ◽

2002 ◽

Vol 132 (01) ◽

pp. 1

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Critical Potential ◽

Semilinear Elliptic

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Nontrivial solutions of semilinear elliptic equations with continuous or discontinuous nonlinearities

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1992-1098403-3 ◽

1992 ◽

Vol 116 (2) ◽

pp. 513-513

Author(s):

Noriko Mizoguchi

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Nontrivial Solutions ◽

Discontinuous Nonlinearities ◽

Semilinear Elliptic

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Hopf boundary maximum principle violation for semilinear elliptic equations

Nonlinear Analysis ◽

10.1016/j.na.2009.12.015 ◽

2010 ◽

Vol 72 (7-8) ◽

pp. 3346-3355 ◽

Cited By ~ 9

Author(s):

Yavdat Il’yasov ◽

Youri Egorov

Keyword(s):

Maximum Principle ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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Solutions of semilinear elliptic equations with asymptotic linear nonlinearity

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00759-3 ◽

2002 ◽

Vol 50 (2) ◽

pp. 275-283 ◽

Cited By ~ 3

Author(s):

Cheng-Hsiung Hsu ◽

Yi-Wen Shih

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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Positive solutions to semilinear elliptic equations involving a weighted fractional Lapalacian

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4184 ◽

2016 ◽

Vol 40 (7) ◽

pp. 2596-2609 ◽

Cited By ~ 3

Author(s):

De Tang

Keyword(s):

Positive Solutions ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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