A Conforming Enriched Finite Element Method for Stokes Interface Problems
Jinru Chen
Jiangsu Second Normal University Peoples Rep of China
Co-Author(s): Hua Wang, Jinru Chen, Pengtao Sun, Nan Wang
Abstract:
A new conforming enriched finite element method is presented for Stokes in-
terface 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 con-
stant. Finite element errors are proved to be optimal. Numerical experiments
are carried out to validate theoretical results.