Nitsche's type stabilized finite element method for the fully mixed Stokes–Darcy problem with Beavers–Joseph conditions

Jiaping Yu; Yizhong Sun; Feng Shi; Haibiao Zheng

doi:10.1016/j.aml.2020.106588

Nitsche's type stabilized finite element method for the fully mixed Stokes–Darcy problem with Beavers–Joseph conditions

Jiaping Yu
, Yizhong Sun
, Feng Shi^*
, Haibiao Zheng

^*Corresponding author for this work

School of Mathematical Sciences

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

20 Scopus citations

Abstract

In this paper, we develop a Nitsche's type interface stabilized method for fully mixed Stokes–Darcy problem with original Beavers–Joseph conditions. The method introduces two strongly consistent interface stabilization terms to guarantee the stability of the fully mixed finite element method. The stability and optimal error estimates of this new stabilized method are also derived.

Original language	English
Article number	106588
Journal	Applied Mathematics Letters
Volume	110
DOIs	https://doi.org/10.1016/j.aml.2020.106588
State	Published - Dec 2020

Keywords

Beavers–Joseph conditions
Nitsche's method
Stabilized method
Stokes–Darcy problem

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10.1016/j.aml.2020.106588

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title = "Nitsche's type stabilized finite element method for the fully mixed Stokes–Darcy problem with Beavers–Joseph conditions",

abstract = "In this paper, we develop a Nitsche's type interface stabilized method for fully mixed Stokes–Darcy problem with original Beavers–Joseph conditions. The method introduces two strongly consistent interface stabilization terms to guarantee the stability of the fully mixed finite element method. The stability and optimal error estimates of this new stabilized method are also derived.",

keywords = "Beavers–Joseph conditions, Nitsche's method, Stabilized method, Stokes–Darcy problem",

author = "Jiaping Yu and Yizhong Sun and Feng Shi and Haibiao Zheng",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2020",

month = dec,

doi = "10.1016/j.aml.2020.106588",

language = "英语",

volume = "110",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

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T1 - Nitsche's type stabilized finite element method for the fully mixed Stokes–Darcy problem with Beavers–Joseph conditions

AU - Yu, Jiaping

AU - Sun, Yizhong

AU - Shi, Feng

AU - Zheng, Haibiao

PY - 2020/12

Y1 - 2020/12

N2 - In this paper, we develop a Nitsche's type interface stabilized method for fully mixed Stokes–Darcy problem with original Beavers–Joseph conditions. The method introduces two strongly consistent interface stabilization terms to guarantee the stability of the fully mixed finite element method. The stability and optimal error estimates of this new stabilized method are also derived.

AB - In this paper, we develop a Nitsche's type interface stabilized method for fully mixed Stokes–Darcy problem with original Beavers–Joseph conditions. The method introduces two strongly consistent interface stabilization terms to guarantee the stability of the fully mixed finite element method. The stability and optimal error estimates of this new stabilized method are also derived.

KW - Beavers–Joseph conditions

KW - Nitsche's method

KW - Stabilized method

KW - Stokes–Darcy problem

UR - https://www.scopus.com/pages/publications/85086516121

U2 - 10.1016/j.aml.2020.106588

DO - 10.1016/j.aml.2020.106588

M3 - 文章

AN - SCOPUS:85086516121

SN - 0893-9659

VL - 110

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 106588

ER -

Nitsche's type stabilized finite element method for the fully mixed Stokes–Darcy problem with Beavers–Joseph conditions

Abstract

Keywords

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