Error Analysis of an Immersed Finite Element Method for Time-Dependent Beam Interface Problems

Error Analysis of an Immersed Finite Element Method for Time-Dependent Beam Interface Problems

Year:    2019

Author:    Min Lin

International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2019-IJNAM-13018

International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 4 : pp. 626–646

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

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

Author Details

Min Lin