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
Repository Citation
Wang, H.,
Chen, J.,
Sun, P.,
Wang, N.
(2018).
A Conforming Enriched Finite Element Method for Stokes Interface Problems.
Computers and Mathematics with Applications
http://dx.doi.org/10.1016/j.camwa.2018.03.027
