Title
A Nonconforming Nitsche's Extended Finite Element Method for Stokes Interface Problems.
Abstract
This article studies the nonconforming $$P_{1}/P_{0}$$ Nitsche’s extended finite element method for Stokes interface problems with interface-unfitted meshes. We derive the inf-sup stability result and optimal a priori error estimates in spite of the low regularity of interface problems. It is shown that all results are independent of not only the viscosity parameters but also the position of the interface without other assumption for the interface. Numerical experiments are carried out to validate theoretical results.
Year
DOI
Venue
2019
10.1007/s10915-019-01019-9
Journal of Scientific Computing
Keywords
Field
DocType
Nonconforming extended finite element, Nitsche’s method, Stokes interface problems, Interface-unfitted mesh
Polygon mesh,Mathematical analysis,A priori and a posteriori,Extended finite element method,Viscosity,Mathematics
Journal
Volume
Issue
ISSN
81
1
0885-7474
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Nan Wang19327.47
Jinru Chen2337.41