Geometrically exact time-integration mesh-free schemes for advection-diffusion problems derived from optimal transportation theory and their connection with particle methods-Reference-Cited by-同舟云学术

Geometrically exact time-integration mesh-free schemes for advection-diffusion problems derived from optimal transportation theory and their connection with particle methods

Published:2017-05-17 Issue:9 Volume:112 Page:1175-1193
ISSN:0029-5981
Container-title:International Journal for Numerical Methods in Engineering
language:en
Short-container-title:Int. J. Numer. Meth. Engng

Author:

Fedeli L.¹,Pandolfi A.²^ORCID,Ortiz M.³

Affiliation:

1. Mechanical Engineering and Applied Sciences Department; University of Pennsylvania; Philadelphia 19104 PA USA

2. Civil and Environmental Engineering Department; Politecnico di Milano; Milano 20133 Italy

3. Engineering and Applied Science Division; California Institute of Technology; Pasadena 91125 CA USA

Funder

U.S. National Science Foundation

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference25 articles.

1. Momentum advection on a staggered mesh;Benson;Journal of Computational Physics,1992

2. Free energy and the Fokker-Planck equation;Jordan;Physica D,1997

3. The variational formulation of the Fokker-Planck equation;Jordan;SIAM Journal on Mathematical Analysis,1998

4. Dynamics of the Fokker-Planck equation;Jordan;Phase Transitions - B,1999

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