Volume 16, Issue 4
Error Analysis of an Immersed Finite Element Method for Time-Dependent Beam Interface Problems

Min Lin


Int. J. Numer. Anal. Mod., 16 (2019), pp. 626-646.

Published online: 2019-02

Preview Purchase PDF 75 936
Export citation
  • Abstract

This article presents an error analysis of a Hermite cubic immersed finite element (IFE) method for solving certain initial-boundary value problems (IBVP) modeling a time-dependent Euler-Bernoulli beam formed by multiple materials together with suitable jump conditions at material interfaces. The optimal convergence of this IFE method is shown by both theoretical proof and numerical simulations.

  • Keywords

Interface problem, time-dependent beam model, IFE method, fully discrete, error analysis.

  • AMS Subject Headings

65N15, 65N30, 65N50, 35R05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

minlin@swpu.edu.cn (Min Lin)

  • BibTex
  • RIS
  • TXT
Copy to clipboard
The citation has been copied to your clipboard