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Volume 4, Issue 1
An Artificial Boundary Condition for a Class of Quasi-Newtonian Stokes Flows

Baoqing Liu, Qing Chen & Qikui Du

DOI: 10.4208/eajam.280313.250913a

East Asian J. Appl. Math., 4 (2014), pp. 35-51.

Published online: 2018-02

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  • Abstract

An artificial boundary condition method, derived in terms of infinite Fourier series, is applied to solve a class of quasi-Newtonian Stokes flows. Based on the natural boundary reduction involving an artificial condition on the artificial boundary, the coupled variational problem and its numerical solution are obtained. The unique solvability of the continuous and discrete formulations are discussed, and the error analysis for the problem is also considered. Finally, an a posteriori error estimate for the corresponding problem is provided.

  • Keywords

Stokes equation, artificial boundary condition, finite element method.

  • AMS Subject Headings

65H05, 65B99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-4-35, author = {Baoqing Liu, Qing Chen and Qikui Du}, title = {An Artificial Boundary Condition for a Class of Quasi-Newtonian Stokes Flows}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {4}, number = {1}, pages = {35--51}, abstract = {

An artificial boundary condition method, derived in terms of infinite Fourier series, is applied to solve a class of quasi-Newtonian Stokes flows. Based on the natural boundary reduction involving an artificial condition on the artificial boundary, the coupled variational problem and its numerical solution are obtained. The unique solvability of the continuous and discrete formulations are discussed, and the error analysis for the problem is also considered. Finally, an a posteriori error estimate for the corresponding problem is provided.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.280313.250913a}, url = {http://global-sci.org/intro/article_detail/eajam/10819.html} }
TY - JOUR T1 - An Artificial Boundary Condition for a Class of Quasi-Newtonian Stokes Flows AU - Baoqing Liu, Qing Chen & Qikui Du JO - East Asian Journal on Applied Mathematics VL - 1 SP - 35 EP - 51 PY - 2018 DA - 2018/02 SN - 4 DO - http://doi.org/10.4208/eajam.280313.250913a UR - https://global-sci.org/intro/article_detail/eajam/10819.html KW - Stokes equation, artificial boundary condition, finite element method. AB -

An artificial boundary condition method, derived in terms of infinite Fourier series, is applied to solve a class of quasi-Newtonian Stokes flows. Based on the natural boundary reduction involving an artificial condition on the artificial boundary, the coupled variational problem and its numerical solution are obtained. The unique solvability of the continuous and discrete formulations are discussed, and the error analysis for the problem is also considered. Finally, an a posteriori error estimate for the corresponding problem is provided.

Baoqing Liu, Qing Chen and Qikui Du. (2018). An Artificial Boundary Condition for a Class of Quasi-Newtonian Stokes Flows. East Asian Journal on Applied Mathematics. 4 (1). 35-51. doi:10.4208/eajam.280313.250913a
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