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Interplay Between Diffusion Anisotropy and Mesh Skewness in Hybrid High-Order Schemes Read chapter Read first chapter

2020 | OriginalPaper | Chapter

TPFA Finite Volume Approximation of Wasserstein Gradient Flows

Authors : Andrea Natale, Gabriele Todeschi

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Publisher: Springer International Publishing

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Abstract

Numerous infinite dimensional dynamical systems arising in different fields have been shown to exhibit a gradient flow structure in the Wasserstein space. We construct Two Point Flux Approximation Finite Volume schemes discretizing such problems which preserve the variational structure and have second order accuracy in space. We propose an interior point method to solve the discrete variational problem, providing an efficient and robust algorithm. We present two applications to test the scheme and show its order of convergence.

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previous chapter Entropy Diminishing Finite Volume Approximation of a Cross-Diffusion System
next chapter Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media
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Metadata
Title
TPFA Finite Volume Approximation of Wasserstein Gradient Flows
Authors
Andrea Natale
Gabriele Todeschi
Copyright Year
2020
Book
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Print ISBN: 978-3-030-43650-6

Electronic ISBN: 978-3-030-43651-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-43651-3_16

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