TPFA Finite Volume Approximation of Wasserstein Gradient Flows

DOI10.1007/978-3-030-43651-3_16zbMath1454.65097arXiv2001.07005OpenAlexW3100042351MaRDI QIDQ5117437

Gabriele Todeschi, Andrea Natale

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07005

zbMATH Keywords

Wasserstein gradient flowsenergy diminishing scheme

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Interior-point methods (90C51) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (3)

Optimal transportation, modelling and numerical simulation ⋮ Computation of optimal transport with finite volumes ⋮ Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit

Cites Work

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• A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
• Homogenisation of one-dimensional discrete optimal transport
• THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
• Interior Point Methods for Nonlinear Optimization
• The Variational Formulation of the Fokker--Planck Equation

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