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A mixed finite element discretization of dynamical optimal transport

Abstract : 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 imaging applications.
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https://hal.archives-ouvertes.fr/hal-02501634
Contributor : Andrea Natale <>
Submitted on : Monday, October 12, 2020 - 5:12:35 PM
Last modification on : Wednesday, April 14, 2021 - 12:12:10 PM

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  • HAL Id : hal-02501634, version 3
  • ARXIV : 2003.04558

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Andrea Natale, Gabriele Todeschi. A mixed finite element discretization of dynamical optimal transport. 2020. ⟨hal-02501634v3⟩

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