A class of nonconforming immersed finite element methods for Stokes interface problems

In this paper, we introduce a class of lowest-order nonconforming immersed finite element (IFE) methods for solving two-dimensional Stokes interface problems. The proposed do not require the solution mesh to align with fluid and can use either triangular or rectangular meshes. On meshes, Crouzeix–Raviart is used velocity approximation, piecewise constant pressure. Rannacher–Turek rotated Q1-Q0 used. new vector-valued IFE functions are constructed approximate jump conditions. Basic properties including unisolvency partition unity these discussed. Approximation capabilities spaces problems examined through series numerical examples. Numerical approximations in L2-norm broken H1-norm pressure observed converge optimally.