Geodesic
A fully discrete finite element scheme for the Kelvin-Voigt model
Filomat, Tome 33 (2019) no. 18, p. 5813

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DOI

In this paper, we study convergence of a fully discrete scheme for the two-dimensional nonstationary Kelvin-Voigt model. This scheme is based on a finite element approximation for space discretization and the Crank-Nicolson-type scheme for time discretization, which is a two step method. Moreover, we obtain error estimates of velocity and pressure. At last, the applicability and effectiveness of the present algorithm are illustrated by numerical experiments
DOI : 10.2298/FIL1918813L
Classification : 65M12, 65M15
Keywords: Fully discrete scheme, Kelvin-Voigt model, Finite element approximation, Crank-Nicolson-type scheme, Convergence 
Xiaoli Lu; Lei Zhang; Pengzhan Huang. A fully discrete finite element scheme for the Kelvin-Voigt model. Filomat, Tome 33 (2019) no. 18, p. 5813 . doi: 10.2298/FIL1918813L
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     author = {Xiaoli Lu and Lei Zhang and Pengzhan Huang},
     title = {A fully discrete finite element scheme for the {Kelvin-Voigt} model},
     journal = {Filomat},
     pages = {5813 },
     year = {2019},
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     number = {18},
     doi = {10.2298/FIL1918813L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1918813L/}
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