Author(s)

Chen Ning, Haiming Gu

College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China.

The Weak Galerkin (WG) finite element method for the unsteady Stokes equations in the primary velocity-pressure formulation is introduced in this paper. Optimal-order error estimates are established for the corresponding numerical approximation in an H¹ norm for the velocity, and L² norm for both the velocity and the pressure by use of the Stokes projection.

Weak Galerkin Finite Element Methods, Unsteady Stokes Equations, Stokes Projection

Ning, C. and Gu, H. (2018) Weak Galerkin Finite Element Method for the Unsteady Stokes Equation. American Journal of Computational Mathematics, 8, 108-119. doi: 10.4236/ajcm.2018.81009.