---
res:
  bibo_abstract:
  - This paper deals with dynamical optimal transport metrics defined by spatial discretisation
    of the Benamou–Benamou formula for the Kantorovich metric . Such metrics appear
    naturally in discretisations of -gradient flow formulations for dissipative PDE.
    However, it has recently been shown that these metrics do not in general converge
    to , unless strong geometric constraints are imposed on the discrete mesh. In
    this paper we prove that, in a 1-dimensional periodic setting, discrete transport
    metrics converge to a limiting transport metric with a non-trivial effective mobility.
    This mobility depends sensitively on the geometry of the mesh and on the non-local
    mobility at the discrete level. Our result quantifies to what extent discrete
    transport can make use of microstructure in the mesh to reduce the cost of transport.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Peter
      foaf_name: Gladbach, Peter
      foaf_surname: Gladbach
  - foaf_Person:
      foaf_givenName: Eva
      foaf_name: Kopfer, Eva
      foaf_surname: Kopfer
  - foaf_Person:
      foaf_givenName: Jan
      foaf_name: Maas, Jan
      foaf_surname: Maas
      foaf_workInfoHomepage: http://www.librecat.org/personId=4C5696CE-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-0845-1338
  - foaf_Person:
      foaf_givenName: Lorenzo
      foaf_name: Portinale, Lorenzo
      foaf_surname: Portinale
      foaf_workInfoHomepage: http://www.librecat.org/personId=30AD2CBC-F248-11E8-B48F-1D18A9856A87
  bibo_doi: 10.1016/j.matpur.2020.02.008
  bibo_issue: '7'
  bibo_volume: 139
  dct_date: 2020^xs_gYear
  dct_identifier:
  - UT:000539439400008
  dct_isPartOf:
  - http://id.crossref.org/issn/0021-7824
  dct_language: eng
  dct_publisher: Elsevier@
  dct_title: Homogenisation of one-dimensional discrete optimal transport@
...