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May 22, 2026Numerical Methods for Partial Differential Equations

Local Convergence for C0 Interior Penalty Approximation of Biharmonic Problems

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Authors

WHWenming He林林润昌TTTian Tian

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Overview

Randomized trial investigates local convergence of finite element methods for biharmonic problems, indicating new results in derivative approximations.

Key Points

  • This research aims to explore the local convergence of finite element approximations for biharmonic problems, particularly focusing on first-order and second-order derivatives.
  • Proposes a novel approach to analyze local convergence of finite element methods.
  • Establishes theoretical results for both first and second-order derivatives.
  • Includes numerical experiments to validate the theoretical outcomes.
  • Achieves local convergence for first-order derivatives of numerical solutions.
  • Establishes new local convergence results for second-order derivatives.
  • Numerical experiments support the theoretical findings.

Cite This Study

He et al. (2026) studied this question.

synapsesocial.com/papers/6a0ff33bd674f7c03778bd0dhttps://doi.org/10.1002/num.70102
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