Abstract
In this paper, we explore a nonconforming cut finite element method based on the nonsymmetric version of Nitsche's method without interface penalty for elliptic interface problems. In contrast to symmetric Nitsche methods, this penalty parameter free scheme does not need “sufficiently large” parameters to ensure the stability. Our main results are that a special function is constructed and the stability of the bilinear form is proved by an inf-sup argument. The optimal convergence in the energy norm and the suboptimal convergence in L2-norm are derived. The suboptimality is due to the lack of adjoint consistency of our formulation. Numerical examples are provided to support the theoretical analysis.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
