A conforming enriched finite element method for Stokes interface problems

作者：Wang, Hua^*; Chen, Jinru; Sun, Pengtao; Wang, Nan

来源：Computers & Mathematics with Applications, 2018, 75(12): 4256-4271.

DOI：10.1016/j.camwa.2018.03.027

• Conforming enriched finite element
• Interface-unfitted mesh
• Stokes interface problems

A new conforming enriched finite element method is presented for Stokes interface problems with interface-unfitted meshes. The conforming enriched finite element pair is constructed based on the MINI element pair. A ghost penalty term is used in the standard discretization form as a stabilization term. An inf-sup stability result is derived, which is uniform with respect to the mesh size. Our method does not limit the viscosity coefficient to be a piecewise constant. Finite element errors are proved to be optimal. Numerical experiments are carried out to validate theoretical results.

• 出版日期2018-6-15
• 单位南京师范大学