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Analysis reveals optimal L2 error estimates for non-symmetric Nitsche methods in interface models, suggesting improved accuracy.
This paper establishes optimal error estimates in the L² for the non-symmetric Nitsche method in an unfitted interface finite element setting. Extending our earlier work, we give a complete analysis for the Poisson interface model and, by formulating a tailored dual problem that restores adjoint consistency, derive the desired bounds.
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Chen et al. (2025) studied this question.
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