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A Consistent Immersed Finite Element Method for the Interface Elasticity Problems

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  • Sangwon Jin
  • Do Y. Kwak
  • Daehyeon Kyeong

Abstract

We propose a new scheme for elasticity problems having discontinuity in the coefficients. In the previous work (Kwak et al., 2014), the authors suggested a method for solving such problems by finite element method using nonfitted grids. The proposed method is based on the -nonconforming finite element methods with stabilizing terms. In this work, we modify the method by adding the consistency terms, so that the estimates of consistency terms are not necessary. We show optimal error estimates in and divergence norms under minimal assumptions. Various numerical experiments also show optimal rates of convergence.

Suggested Citation

  • Sangwon Jin & Do Y. Kwak & Daehyeon Kyeong, 2016. "A Consistent Immersed Finite Element Method for the Interface Elasticity Problems," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-9, May.
    • Handle: RePEc:hin:jnlamp:3292487
    DOI: 10.1155/2016/3292487
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