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math.NA2025
Projected gradient stabilization of sharp and diffuse interface formulations in unfitted Nitsche finite element methods
Maxim Olshanskii, Jan-Phillip Bäcker, Dmitri Kuzmin
We introduce an unfitted Nitsche finite element method with a new ghost-penalty stabilization based on local projection of the solution gradient. The proposed ghost-penalty operato…
math.NA2021★ 4 cited
An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces
Dmitri Kuzmin, Jan-Phillip Bäcker
We explore a new way to handle flux boundary conditions imposed on level sets. The proposed approach is a diffuse interface version of the shifted boundary method (SBM) for continu…