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November 13, 2025AxiomsOpen Access

Quasi-Optimal Convergence of a Family of Adaptive Nonconforming Finite Element Methods

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Authors

XZXuying Zhao

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Implication

Analysis shows adaptive algorithm achieves quasi-optimal convergence with high-order nonconforming methods, indicating improved performance.

Key Points

  • Adaptive algorithm demonstrates quasi-optimal convergence for adaptive nonconforming finite element methods, enhancing numerical effectiveness.
  • Key evidence includes the establishment of a new discrete upper bound, showing significant improvement in convergence properties.
  • Observational analysis reveals the gradient of the discrete solution differs from existing nonconforming elements, indicating a novel mathematical approach.
  • Implications suggest that advancements in this area may lead to more efficient numerical simulations and applications in various fields.

Cite This Study

Xuying Zhao (2025) studied this question.

synapsesocial.com/papers/692523c6c0ce034ddc355038https://doi.org/10.3390/axioms14110836
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