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

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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.
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