摘要
In this paper,we propose an absolutely stabilized mixed virtual element method(mixed VEM)for the incompressible Stokes equations.We employ the C0-conforming virtual element space for the velocity and discontinuous polynomial space for the pressure.The velocity-pressure pair contains“arbitrary-order”polynomials,and stability is guaranteed by the“absolutely stabilized finite element formulation”originally introduced in[21].We establish error estimates in the energy norm for both velocity and pressure,as well as an L^(2)-error estimate for the velocity.Several numerical experiments validate the theoretical analysis.
基金
supported by the National Natural Science Foundation of China(No.11971337).
