Year: 2014
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.280313.250913a
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 1 : pp. 35–51
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Stokes equation artificial boundary condition finite element method.