Abstract | ||
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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 |
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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 Wang | 1 | 214 | 52.30 |
Jinru Chen | 2 | 8 | 3.03 |
Pengtao Sun | 3 | 28 | 10.06 |
Nan Wang | 4 | 93 | 27.47 |