A nonconforming finite element method for Stokes interface problems on a local antisotropic hybrid mesh

by Hua Wang (Xiangtan University)

Thursday 20 Jun 2024, 12:00 → 13:00 Europe/Berlin

R 3517 (Ernst-Abbe-Platz 2)

In this talk, we introduce a low-order nonconforming finite element method for Stokes interface problems. The method is implemented on a local anisotropic hybrid mesh, which is generated by connecting intersection points of the interface with an underlying unfitted mesh. By utilizing this hybrid mesh, we develop a CR/rotated Q1 type element for the velocity space, accompanied by a piecewise P0 element for the pressure space. Moreover, we establish the inf-sup condition without the need for stabilization terms and demonstrate the linear convergence rates for both velocity and pressure spaces in the H1 and L2 norms. Numerical experiments are provided to validate our theoretical results.