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

Pei Yin, Hongyun Yue and Hongbo Guan

Mathematical Problems in Engineering, 2020, vol. 2020, 1-9

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2081948

DOI: 10.1155/2020/2081948

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