Local ultraconvergence of finite element methods for second-order elliptic problems with singularity

Wenming He; Ren Zhao; Guanrong Li; Wulan Li

doi:10.1002/num.22668

Local ultraconvergence of finite element methods for second-order elliptic problems with singularity

Wenming He, Ren Zhao, Guanrong Li, Wulan Li

Department of Foundational Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Original language	English
Pages (from-to)	2132-2149
Journal	Numerical Methods for Partial Differential Equations
Volume	37
Issue number	3
DOIs	https://doi.org/10.1002/num.22668
Publication status	Published - May 2021

Keywords

discrete Green&apos
s function
Richardson extrapolation technique
the local symmetric technique
ultraconvergence

Access to Document

10.1002/num.22668

Cite this

He, W., Zhao, R., Li, G., & Li, W. (2021). Local ultraconvergence of finite element methods for second-order elliptic problems with singularity. Numerical Methods for Partial Differential Equations, 37(3), 2132-2149. https://doi.org/10.1002/num.22668

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title = "Local ultraconvergence of finite element methods for second-order elliptic problems with singularity",

keywords = "discrete Green&apos, s function, Richardson extrapolation technique, the local symmetric technique, ultraconvergence",

author = "Wenming He and Ren Zhao and Guanrong Li and Wulan Li",

year = "2021",

month = may,

doi = "10.1002/num.22668",

language = "English",

volume = "37",

pages = "2132--2149",

journal = "Numerical Methods for Partial Differential Equations",

issn = "0749-159X",

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T1 - Local ultraconvergence of finite element methods for second-order elliptic problems with singularity

AU - He, Wenming

AU - Zhao, Ren

AU - Li, Guanrong

AU - Li, Wulan

PY - 2021/5

Y1 - 2021/5

KW - discrete Green&apos

KW - s function

KW - Richardson extrapolation technique

KW - the local symmetric technique

KW - ultraconvergence

U2 - 10.1002/num.22668

DO - 10.1002/num.22668

M3 - Article

SN - 0749-159X

VL - 37

SP - 2132

EP - 2149

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 3

ER -