A finite element method by patch reconstruction for the Stokes problem using mixed formulations
arXiv:1806.09399 · doi:10.1016/j.cam.2018.12.017
Abstract
In this paper, we develop a patch reconstruction finite element method for the Stokes problem. The weak formulation of the interior penalty discontinuous Galerkin is employed. The proposed method has a great flexibility in velocity-pressure space pairs whose stability properties are confirmed by the inf-sup tests. Numerical examples show the applicability and efficiency of the proposed method.
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- A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes
- Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems