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Optimal Order Error Estimates of a Modified Nonconforming Rotated IFEM for Interface Problems

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  • Pei Yin
  • Hongyun Yue
  • Hongbo Guan

Abstract

This paper presents a new numerical method and analysis for solving second-order elliptic interface problems. The method uses a modified nonconforming rotated immersed finite element (IFE) space to discretize the state equation required in the variational discretization approach. Optimal order error estimates are derived in - norm and broken energy norm. Numerical examples are provided to confirm the theoretical results.

Suggested Citation

  • Pei Yin & Hongyun Yue & Hongbo Guan, 2020. "Optimal Order Error Estimates of a Modified Nonconforming Rotated IFEM for Interface Problems," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-9, September.
    • Handle: RePEc:hin:jnlmpe:2081948
    DOI: 10.1155/2020/2081948
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