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International Journal of Computer Mathematics Volume 87, 2010 - Issue 14
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Section B

Optimal error estimates of the penalty method for the linearized viscoelastic flows

Kun Wang Faculty of Science, Xi'an Jiaotong University, P.O. Box 1877, Xi'an, 710049, ChinaCorrespondence[email protected]
,
Yueqiang Shang Faculty of Science, Xi'an Jiaotong University, P.O. Box 1877, Xi'an, 710049, China; School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, 550001, China
&
Ren Zhao Faculty of Science, Xi'an Jiaotong University, P.O. Box 1877, Xi'an, 710049, China
Pages 3236-3253 | Received 12 Nov 2008, Accepted 10 Apr 2009, Published online: 20 Aug 2010

Citations (10)

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Read on this site (1)

Kun Wang, Yinnian He & Xinlong Feng. (2011) On error estimates of the fully discrete penalty method for the viscoelastic flow problem. International Journal of Computer Mathematics 88:10, pages 2199-2220.
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Articles from other publishers (9)

Bikram Bir, Deepjyoti Goswami & Amiya K. Pani. (2022) Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data. Computational Methods in Applied Mathematics 22:2, pages 297-325.
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Mostafa Abbaszadeh & Mehdi Dehghan. (2020) Investigation of the Oldroyd model as a generalized incompressible Navier–Stokes equation via the interpolating stabilized element free Galerkin technique. Applied Numerical Mathematics 150, pages 274-294.
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Cui Liu & Zhiyong Si. (2019) An incremental pressure correction finite element method for the time-dependent Oldroyd flows. Applied Mathematics and Computation 351, pages 99-115.
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Tong Zhang, Yanxia Qian, Tao Jiang & JinYun Yuan. (2018) Stability and convergence of the higher projection method for the time-dependent viscoelastic flow problem. Journal of Computational and Applied Mathematics 338, pages 1-21.
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Tong Zhang, Yanxia Qian & JinYun Yuan. (2018) The fully discrete fractional-step method for the Oldroyd model. Applied Numerical Mathematics 129, pages 83-103.
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Zhiyong Si, Wenqiang Li & Yunxia Wang. (2015) A gauge-Uzawa finite element method for the time-dependent Viscoelastic Oldroyd flows. Journal of Mathematical Analysis and Applications 425:1, pages 96-110.
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Kun Wang, Zhiyong Si & Yanfang Yang. (2011) Stabilized finite element method for the viscoelastic Oldroyd fluid flows. Numerical Algorithms 60:1, pages 75-100.
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Kun Wang, Yangping Lin & Yinnian He. (2012) Asymptotic analysis of the equations of motion for viscoelastic oldroyd fluid. Discrete & Continuous Dynamical Systems - A 32:2, pages 657-677.
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Kun Wang, Yueqiang Shang & Hongbo Wei. (2011) A finite element penalty method for the linearized viscoelastic Oldroyd fluid motion equations. Computers & Mathematics with Applications 62:4, pages 1814-1827.
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