Summary.
We analyze the error of a fictitious-domain method with boundary Lagrange multiplier. It is applied to solve a non-homogeneous steady incompressible Navier-Stokes problem in a domain with a multiply-connected boundary. The interior mesh in the fictitious domain and the boundary mesh are independent, up to a mesh-length ratio.
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Received February 24, 1999 / Revised version received January 30, 2000 / Published online October 16, 2000
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Girault, V., Glowinski, R., López, H. et al. A boundary multiplier/fictitious domain method for the steady incompressible Navier-Stokes equations. Numer. Math. 88, 75–103 (2001). https://doi.org/10.1007/PL00005441
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DOI: https://doi.org/10.1007/PL00005441