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.
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This work was supported by the NSFC Grants 11871281 and 11731007.
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Wang, N., Chen, J. A Nonconforming Nitsche’s Extended Finite Element Method for Stokes Interface Problems. J Sci Comput 81, 342–374 (2019). https://doi.org/10.1007/s10915-019-01019-9
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DOI: https://doi.org/10.1007/s10915-019-01019-9