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September 19, 2025ESAIM. Mathematical modelling and numerical analysis1 citations

Gradient Stabilization in Unfitted Nitsche Finite Element Methods

Projected gradient stabilization of sharp and diffuse interface formulations in unfitted Nitsche finite element methods

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Authors

MOMaxim A. OlshanskiiJBJan-Phillip BäckerDKDmitri Kuzmin

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Overview

New ghost-penalty stabilization improves sharp and diffuse interface formulations in Nitsche methods.

Key Points

  • The proposed method shows promise in stabilizing numerical solutions for transport-dominated problems, enhancing accuracy.
  • Numerical experiments confirm the theoretical analysis, demonstrating effective application of both sharp and diffuse interface versions.
  • The ghost-penalty operator ensures algebraic stability, facilitating implementation and solution extension beyond physical domains.
  • This approach may enable better handling of embedded surfaces, reducing the complexity in numerical integration tasks.

Cite This Study

Olshanskii et al. (2025) studied this question.

synapsesocial.com/papers/68d464ea31b076d99fa6406dhttps://doi.org/10.1051/m2an/2025079
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