@Article{IJNAM-16-4, author = {Min, Lin}, title = {Error Analysis of an Immersed Finite Element Method for Time-Dependent Beam Interface Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2019}, volume = {16}, number = {4}, pages = {626--646}, 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.

}, issn = {2617-8710}, doi = {https://doi.org/2019-IJNAM-13018}, url = {https://global-sci.com/article/83080/error-analysis-of-an-immersed-finite-element-method-for-time-dependent-beam-interface-problems} }