Finite element approximation of a system coupling curve evolution with prescribed normal contact to a fixed boundary to reaction-diffusion on the curve

Styles, Vanessa and Van Yperen, James (2021) Finite element approximation of a system coupling curve evolution with prescribed normal contact to a fixed boundary to reaction-diffusion on the curve. European Numerical Mathematics and Advanced Applications Conference 2019, The Netherlands, 30th Sept - 4th Oct 2019. Published in: Vermolen, Fred J and Cornelis, Vuik, (eds.) Numerical mathematics and advanced applications ENUMATH 2019. 139 1215-1223. Springer ISSN 1439-7358 ISBN 9783030558734

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Abstract

We consider a finite element approximation for a system consisting of the evolution of a curve evolving by forced curve shortening flow coupled to a reaction-diffusion equation on the evolving curve. The curve evolves inside a given domain Ω⊂R2 and meets ∂ Ω orthogonally. We present numerical experiments and show the experimental order of convergence of the approximation.

Item Type: Conference Proceedings
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
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SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 20 Jul 2020 09:28
Last Modified: 14 May 2021 13:36
URI: http://sro.sussex.ac.uk/id/eprint/90290

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