Year: 2016
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 1 : pp. 60–79
Abstract
Two-grid finite element methods for the steady Navier-Stokes/Darcy model are considered. Stability and optimal error estimates in the $H^1$-norm for velocity and piezometric approximations and the $L^2$-norm for pressure are established under mesh sizes satisfying $h=H^2$. A modified decoupled and linearised two-grid algorithm is developed, together with some associated optimal error estimates. Our method and results extend and improve an earlier investigation, and some numerical computations illustrate the efficiency and effectiveness of the new algorithm.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.080215.111215a
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 1 : pp. 60–79
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Navier-Stokes equations Darcy’s law multimodeling problems two-grid method.
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