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A conforming-nonconforming mixed immersed finite element method for unsteady Stokes equations with moving interfaces
Electronic Research Archive
In this article, we develop a new mixed immersed finite element discretization for two-dimensional unsteady Stokes interface problems with unfitted meshes. The proposed IFE spaces use conforming linear elements for one velocity component and non-conforming linear elements for the other velocity component. The pressure is approximated by piecewise constant. Unisolvency, among other fundamental properties of the new vector-valued IFE functions, is analyzed. Based on the new IFE spaces,doi:10.3934/era.2021032 fatcat:vyr2svrjazdbtacgfftd44hyri