Title
A conforming enriched finite element method for Stokes interface problems.
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.
Year
DOI
Venue
2018
10.1016/j.camwa.2018.03.027
Computers & Mathematics with Applications
Keywords
Field
DocType
Conforming enriched finite element,Interface-unfitted mesh,Stokes interface problems
Discretization,Polygon mesh,Mathematical analysis,Finite element method,Viscosity,Mathematics,Piecewise
Journal
Volume
Issue
ISSN
75
12
0898-1221
Citations 
PageRank 
References 
0
0.34
3
Authors
4
Name
Order
Citations
PageRank
Hua Wang121452.30
Jinru Chen283.03
Pengtao Sun32810.06
Nan Wang49327.47