Numerical solution of the Optimal Transportation problem using the Monge-Ampère equation

Journal of Computational Physics

Volumn 260, Issue , 2014, Pages 107-126

  Benamou, Jean David ^a   Froese, Brittany D ^b,c   Oberman, Adam M ^b,d  

^a INRIA ROCQUENCOURT   (France)

^b SIMON FRASER UNIVERSITY   (Canada)

^c UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^d MCGILL UNIVERSITY   (Canada)

Author keywords

Convexity; Finite difference methods; Fully nonlinear elliptic partial differential equations; Monge Amp re equation; Monotone schemes; Numerical methods; Optimal Transportation; Viscosity solutions

Indexed keywords

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

CONVEXITY; ELLIPTIC PARTIAL DIFFERENTIAL EQUATION; FINITE-DIFFERENCE METHODS; FULLY NONLINEAR; FULLY NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATION; MONGE AMPÈRE EQUATION; MONOTONE SCHEME; OPTIMAL TRANSPORTATIONS; TRANSPORTATION PROBLEM; VISCOSITY SOLUTIONS;

NUMERICAL METHODS;

EID: 84891636802     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2013.12.015     Document Type: Article

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