Weak Galerkin method for the Stokes equations with damping | Zendy

Hui Peng | Zendy; Qilong Zhai | Zendy

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Weak Galerkin method for the Stokes equations with damping

Author(s) -

Hui Peng,

Qilong Zhai

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2021112

Subject(s) - polygon mesh , galerkin method , stokes problem , mathematics , finite element method , discontinuous galerkin method , scheme (mathematics) , error analysis , mathematical analysis , order (exchange) , physics , geometry , thermodynamics , finance , economics

In this paper, we introduce the weak Galerkin (WG) finite element method for the Stokes equations with damping. We establish the WG numerical scheme on general meshes and prove the well-posedness of the scheme. Optimal error estimates for the velocity and pressure are derived. Furthermore, in order to accelerate the WG algorithm, we present a two-level method and give the corresponding error estimates. Finally, some numerical examples are reported to validate the theoretical analysis.

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