TY - JOUR
T1 - Error Analysis of an Immersed Finite Element Method for Time-Dependent Beam Interface Problems
AU - Lin , Min
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 626
EP - 646
PY - 2019
DA - 2019/02
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/13018.html
KW - Interface problem, time-dependent beam model, IFE method, fully discrete, error analysis.
AB - <p style="text-align: justify;">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.</p>