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October 20, 2025Open Access

A Nonconforming Finite Element Method for Elliptic Interface Problems on Locally Anisotropic Meshes

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Authors

CGChenchen GengHunan University of Science and TechnologyHWHua WangDalian Ocean UniversityQZQi ZhangPeking University

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Implication

Novel finite element approach improves consistency error analysis in elliptic interface problems, suggesting enhanced accuracy.

Key Points

  • The proposed method achieves better consistency error analysis for nonconforming elements, enhancing robustness.
  • Numerical results demonstrate that the method successfully meets theoretical convergence rates based on interpolation error estimates.
  • This study's method employs locally anisotropic mixed meshes to optimize the handling of elliptic interface problems effectively.
  • The innovative approach removes the reliance on the quasi-regularity assumption common in previous methods, indicating significant advancements.

Cite This Study

Geng et al. (2025) studied this question.

synapsesocial.com/papers/68f6379bb481a140a36cf68ahttps://doi.org/10.48550/arxiv.2506.15077
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