Guanyu Zhou

Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition

We consider the P1/P1 or P1b/P1 finite element approximations to the Stokes equations in a bounded smooth domain subject to the slip boundary condition. A penalty method is applied to address the essential boundary condition

ANALYSIS OF THE FICTITIOUS DOMAIN METHOD WITH AN L 2 -PENALTY FOR ELLIPTIC PROBLEMS

u\cdot n = g

Energy Inequalities and Outflow Boundary Conditions for the Navier–Stokes Equations

u·n=g on

The fictitious domain method with penalty for the parabolic problem in moving-boundary domain: The error estimate of penalty and the finite element approximation

\partial \Omega

Penalty method with Crouzeix-Raviart approximation for the Stokes equations under slip boundary condition.

∂Ω, which avoids a variational crime and simultaneously facilitates the numerical implementation. We give