A finite element method by patch reconstruction for the Stokes problem using mixed formulations
This work provides a flexible finite element method for solving the Stokes problem, which is relevant for computational fluid dynamics, but the results are incremental as it combines existing techniques.
The authors developed a patch reconstruction finite element method for the Stokes problem using interior penalty discontinuous Galerkin, demonstrating flexibility in velocity-pressure space pairs and confirming stability via inf-sup tests. Numerical examples show applicability and efficiency.
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.