论文标题

关于心脏生理学引起的非线性模型中空腔的重建

On the reconstruction of cavities in a nonlinear model arising from cardiac electrophysiology

论文作者

Beretta, Elena, Cerutti, M. Cristina, Pierotti, Dario, Ratti, Luca

论文摘要

在本文中,我们解决了从心脏电生理学引起的非线性椭圆方程中一个边界测量中确定一个绝缘区域(腔)的问题。根据[9]中获得的结果,我们提出了一种基于$γ$ - convergence的新重建算法。然后,通过几个数值实验显示了这种方法的相关性和适用性。

In this paper, we deal with the problem of determining perfectly insulating regions (cavities) from one boundary measurement in a nonlinear elliptic equation arising from cardiac electrophysiology. Based on the results obtained in [9] we propose a new reconstruction algorithm based on $Γ$-convergence. The relevance and applicability of this approach are then shown through several numerical experiments.

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