固定边界上具有预定法向接触的曲线演化与曲线上的反应扩散耦合系统的有限元逼近
Finite element approximation of a system coupling curve evolution with prescribed normal contact to a fixed boundary to reaction-diffusion on the curve
摘要：
本文考虑一个系统的有限元逼近，该系统由一条曲线的演化组成，该曲线由强迫曲线缩短流耦合到演化曲线上的反应扩散方程。曲线在给定域$Ω\subset \mathbb{R}^2$内演化，并与$\partial Ω$正交相交。耦合系统的方案基于[BDS 17]和[DE 98]中导出的方案。我们提出的数值实验，并显示实验顺序的近似收敛。
英文摘要：
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 $Ω\subset \mathbb{R}^2$ and meets $\partial Ω$ orthogonally. The scheme for the coupled system is based on the schemes derived in [BDS17] and [DE98]. We present numerical experiments and show the experimental order of convergence of the approximation.
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