Title | ||
---|---|---|
A Nonconforming Nitsche's Extended Finite Element Method for Stokes Interface Problems. |
Abstract | ||
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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 Wang | 1 | 93 | 27.47 |
Jinru Chen | 2 | 33 | 7.41 |