Numerical Methods Partial - 2022 - Styles - Numerical analysis for a system coupling curve evolution attached orthogonally.pdf (1.28 MB)
Numerical analysis for a system coupling curve evolution attached orthogonally to a fixed boundary, to a reaction–diffusion equation on the curve
Version 2 2023-06-12, 07:41
Version 1 2023-06-10, 02:35
journal contribution
posted on 2023-06-12, 07:41 authored by Vanessa StylesVanessa Styles, James Van YperenJames Van YperenWe consider a semidiscrete finite element approximation for a system consisting of the evolution of a planar curve evolving by forced curve shortening flow inside a given bounded domain (Formula presented.), such that the curve meets the boundary (Formula presented.) orthogonally, and the forcing is a function of the solution of a reaction–diffusion equation that holds on the evolving curve. We prove optimal order (Formula presented.) error bounds for the resulting approximation and present numerical experiments.
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Numerical Methods for Partial Differential EquationsISSN
0749-159XPublisher
WileyExternal DOI
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1-30Department affiliated with
- Mathematics Publications
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2022-02-10First Open Access (FOA) Date
2022-02-10First Compliant Deposit (FCD) Date
2022-02-09Usage metrics
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