A fully discrete finite element scheme for the Kelvin-Voigt model | Zendy

Xiaoli Lu | Zendy; Lei Zhang | Zendy; Pengzhan Huang | Zendy

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A fully discrete finite element scheme for the Kelvin-Voigt model

Author(s) -

Xiaoli Lu,

Lei Zhang,

Pengzhan Huang

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1918813l

Subject(s) - discretization , mathematics , finite element method , convergence (economics) , scheme (mathematics) , discretization error , space (punctuation) , mathematical analysis , computer science , physics , economics , thermodynamics , economic growth , operating system

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.

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