Jagged-time-step technique improving convergence order of Fernandez's Explicit Robin-Neumann scheme for the coupling of incompressible fluid with thin-walled structure

2020/09/22 by Yiyi Huang, Huang, Yiyi
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #G.1 #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2009.10775

openalex publication_date 2020/09/22 · openalex created_date 2020/10/01 · openalex updated_date 2026/07/28

Abstract

Inspired by Rybak's multiple-time-step technique, jagged-time-step technique is proposed and applied to Fernandez's Explicit Robin-Neumann scheme. For some instances, numerical experiments demonstrate higher convergence orders and accuracy with lower computation cost as time and space get refined.

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