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A lowest-degree strictly conservative finite element scheme for incompressible Stokes problem on general triangulations

2021/08/24 by Wenjia Liu, Shuo Zhang, Liu, Wenjia +1
Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Elasticity and Material Modeling

paper · pdf · doi:10.48550/arxiv.2108.10522

Abstract

In this paper, we propose a finite element pair for incompressible Stokes problem. The pair uses a slightly enriched piecewise linear polynomial space for velocity and piecewise constant space for pressure, and is illustrated to be a lowest-degree conservative stable pair for the Stokes problem on general triangulations.

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