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.

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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.

  • History

Published online: 2019-02

  • AMS Subject Headings

65N15, 65N30, 65N50, 35R05

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