A Conforming Enriched Finite Element Method for Stokes Interface Problems

Document Type

Article

Publication Date

4-17-2018

Publication Title

Computers and Mathematics with Applications

Abstract

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.

Keywords

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

Disciplines

Applied Mathematics | Numerical Analysis and Computation

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