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Fibre homogenisation for time-dependent problems

2024/07/12 by Cooper, Shane, Essadeq, Imane, Waurick, Marcus
#35 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2407.09148

Abstract

In this article we provide a method for establishing operator-type error estimates between solutions to rapidly oscillating evolutionary equations and their homogenised counter parts. This method is exemplified by applications to the wave, heat and finally thermoelastic evolutionary systems.

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