Two-grid reduced-dimension extrapolated method of Crank-Nicolson finite element solution coefficient vectors for nonlinear parabolic equation

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Published inComputational & applied mathematics Vol. 44; no. 1
Main Authors Li, Yue Jie, Teng, Fei, Zeng, Yi Hui, Luo, Zhen Dong
Format Journal Article
LanguageEnglish
Published 01.02.2025
Online AccessGet full text
ISSN2238-3603
1807-0302
DOI10.1007/s40314-024-02986-y

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ArticleNumber 15
Author Li, Yue Jie
Zeng, Yi Hui
Teng, Fei
Luo, Zhen Dong
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Cites_doi 10.3390/math10132273
10.1016/j.apnum.2020.07.025
10.1016/j.apnum.2009.08.004
10.1002/num.22932
10.1002/num.21961
10.1016/j.jmaa.2021.125103
10.3390/math10173066
10.1016/0022-247X(90)90440-Q
10.1080/00207160.2017.1420784
10.1007/978-981-97-3434-4
10.1016/j.camwa.2023.04.033
10.1016/j.jmaa.2022.126207
10.1137/0726019
10.3390/math8081261
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References RA Adams (2986_CR1) 1975
C Chen (2986_CR2) 2010; 60
ZD Luo (2986_CR12) 2024
ZD Luo (2986_CR13) 2018
YH Zeng (2986_CR19) 2022; 513
ZD Luo (2986_CR9) 2020; 8
G Zhang (2986_CR21) 2011
DY Shi (2986_CR15) 2017; 310
WS Zhang (2986_CR20) 2006
HR Li (2986_CR7) 2023; 143
HR Li (2986_CR6) 2021; 500
ZD Luo (2986_CR14) 2020; 158
Q Liu (2986_CR8) 2019; 96
Z Wang (2986_CR17) 2015; 31
D Estep (2986_CR4) 1993; 27
S Larsson (2986_CR5) 1989; 26
ZD Luo (2986_CR10) 2022; 10
JF Colombeau (2986_CR3) 1990; 145
ME Taylor (2986_CR16) 2010
ZD Luo (2986_CR11) 2022; 10
D Wang (2986_CR18) 2023; 39
References_xml – volume-title: Proper orthogonal decomposition methods for partial differential equations
  year: 2018
  ident: 2986_CR13
– volume-title: Partial differential equations III
  year: 2010
  ident: 2986_CR16
– volume: 10
  start-page: 2273
  year: 2022
  ident: 2986_CR11
  publication-title: Mathematics
  doi: 10.3390/math10132273
– volume: 158
  start-page: 123
  year: 2020
  ident: 2986_CR14
  publication-title: Appl Numer Math
  doi: 10.1016/j.apnum.2020.07.025
– volume: 310
  start-page: 40
  year: 2017
  ident: 2986_CR15
  publication-title: Appl Math Comput
– volume: 60
  start-page: 10
  year: 2010
  ident: 2986_CR2
  publication-title: Appl Numer Math
  doi: 10.1016/j.apnum.2009.08.004
– volume: 39
  start-page: 1251
  year: 2023
  ident: 2986_CR18
  publication-title: Numer Methods Part Differ Equ
  doi: 10.1002/num.22932
– volume-title: Sobolev spaces
  year: 1975
  ident: 2986_CR1
– volume: 31
  start-page: 1713
  year: 2015
  ident: 2986_CR17
  publication-title: Numer Methods Part Differ Equ
  doi: 10.1002/num.21961
– volume: 500
  year: 2021
  ident: 2986_CR6
  publication-title: J Math Anal Appl
  doi: 10.1016/j.jmaa.2021.125103
– volume: 10
  start-page: 3066
  year: 2022
  ident: 2986_CR10
  publication-title: Mathematics
  doi: 10.3390/math10173066
– volume: 145
  start-page: 186
  year: 1990
  ident: 2986_CR3
  publication-title: J Math Anal Appl
  doi: 10.1016/0022-247X(90)90440-Q
– volume: 96
  start-page: 158
  issue: 1
  year: 2019
  ident: 2986_CR8
  publication-title: Int J Comput Math
  doi: 10.1080/00207160.2017.1420784
– volume-title: Finite element and reduced dimension methods for partial differential equations
  year: 2024
  ident: 2986_CR12
  doi: 10.1007/978-981-97-3434-4
– volume-title: Finite difference methods for patial differential equations in science computation
  year: 2006
  ident: 2986_CR20
– volume-title: Notes on functional analysis (in Chinese)
  year: 2011
  ident: 2986_CR21
– volume: 27
  start-page: 35
  year: 1993
  ident: 2986_CR4
  publication-title: RAIRO
– volume: 143
  start-page: 1
  year: 2023
  ident: 2986_CR7
  publication-title: Comput Math Appl
  doi: 10.1016/j.camwa.2023.04.033
– volume: 513
  year: 2022
  ident: 2986_CR19
  publication-title: J Math Anal Appl
  doi: 10.1016/j.jmaa.2022.126207
– volume: 26
  start-page: 348
  year: 1989
  ident: 2986_CR5
  publication-title: SIAM J Numer Anal
  doi: 10.1137/0726019
– volume: 8
  start-page: 1261
  year: 2020
  ident: 2986_CR9
  publication-title: Mathematics
  doi: 10.3390/math8081261
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