论文标题
动态最佳传输的混合有限元离散化
A mixed finite element discretization of dynamical optimal transport
论文作者
论文摘要
在本文中，我们介绍了基于其动力学公式的二次最佳传输问题的新一类有限元离散化。这些概括为有限元设置了Papadakis等人提出的有限差异方案。 [Siam J Imaging Sci，7（1）：212---238,2014]。我们使用近端分裂方法解决了离散问题，并展示了如何在存在与物理数据插值相关的正则化项中修改它。
In this paper we introduce a new class of finite element discretizations of the quadratic optimal transport problem based on its dynamical formulation. These generalize to the finite element setting the finite difference scheme proposed by Papadakis et al. [SIAM J Imaging Sci, 7(1):212--238,2014]. We solve the discrete problem using a proximal splitting approach and we show how to modify this in the presence of regularization terms which are relevant for physical data interpolation.
