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October 13, 2025Open Access

The coupling of mixed and primal finite element methods for the coupled body-plate problem

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Authors

JHJun HuZLZhen LiuRMRui Ma

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Overview

This analysis demonstrates discrete stability and error estimates for finite element methods in a coupled problem, indicating effective solutions for interface issues.

Key Points

  • The approach enables direct stress approximations in finite element methods with non-matching meshes.
  • Under specific assumptions, stability and error estimates are established for both conforming and nonconforming methods.
  • Numerical experiments validate the proposed theoretical results, confirming the effectiveness of the coupling approach.
  • The problem reduction to an interface issue allows use of conjugate gradient iteration for efficient solutions.

Cite This Study

Hu et al. (2025) studied this question.

synapsesocial.com/papers/68ecfebf950606aabec09233https://doi.org/10.48550/arxiv.2509.10827
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