Partially penalized IFE methods and convergence analysis for elasticity interface problems

In this paper, some partial penalized immersed finite element methods (PPIFEMs) are proposed and analyzed for solving elasticity interface problems. Through verifying the inverse trace inequality on the interface edges, the optimal convergence in the energy norm is derived. A new test function is constructed to obtain the discrete inf-sup condition of the penalty-free nonsymmetric PPIFEM and is utilized in the proof of the optimal convergence. Furthermore, the effect of the Lame parameters on convergence is also studied. Various numerical examples and comparisons are provided to confirm the theoretical results. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

This paper proposes and analyzes partial penalized immersed finite element methods (PPIFEMs) for solving elasticity interface problems. The inverse trace inequality on the interface edges is verified to achieve optimal convergence in the energy norm. A new test function is constructed to obtain the discrete inf-sup condition, and the impact of the Lame parameters on convergence is also studied.