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A mixed finite element discretization of dynamical optimal transport

Andrea Natale , Gabriele Todeschi
Journal of Scientific Computing, In press, ⟨10.1007/s10915-022-01821-y⟩
Article dans une revue hal-02501634v4
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TPFA Finite Volume Approximation of Wasserstein Gradient Flows

Andrea Natale , Gabriele Todeschi
Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway
Communication dans un congrès hal-02444833v2
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Efficient preconditioners for solving dynamical optimal transport via interior point methods

Enrico Facca , Gabriele Todeschi , Andrea Natale , Michele Benzi
SIAM Journal on Scientific Computing, 2022
Article dans une revue hal-03766668v3
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Embedding Camassa-Holm equations in incompressible Euler

Andrea Natale , François-Xavier Vialard
Journal of Geometric Mechanics, 2019
Article dans une revue hal-01781162v1
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Gradient flows of interacting Laguerre cells as discrete porous media flows

Andrea Natale
2023
Pré-publication, Document de travail hal-04061307v1
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From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows

Thomas Gallouët , Andrea Natale , Gabriele Todeschi
Mathematics of Computation, 2024, ⟨10.1090/mcom/3951⟩
Article dans une revue hal-03790981v3
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Convergence of a Lagrangian discretization for barotropic fluids and porous media flow

Thomas Gallouët , Quentin Merigot , Andrea Natale
SIAM Journal on Mathematical Analysis, 2022, 54 (3), ⟨10.1137/21M1422756⟩
Article dans une revue hal-03234144v2
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Generalized compressible flows and solutions of the H(div) geodesic problem

Thomas Gallouët , Andrea Natale , François-Xavier Vialard
Archive for Rational Mechanics and Analysis, 2020, 235, pp.1707-1762. ⟨10.1007/s00205-019-01453-x⟩
Article dans une revue hal-01815531v3
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Metric completion of $Diff([0,1])$ with the $H1$ right-invariant metric

Simone Di Marino , Andrea Natale , Rabah Tahraoui , François-Xavier Vialard
2019
Pré-publication, Document de travail hal-02161686v1