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Volumn 41, Issue 1, 2003, Pages 382-399

On the time-continuous mass transport problem and its approximation by augmented Lagrangian techniques

Author keywords

Augmented Lagrangian method; Optimal transport; Wasserstein distance

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; GEOMETRY; INTERPOLATION; LAGRANGE MULTIPLIERS; LINEARIZATION; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING;

EID: 0344463965     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142901386069     Document Type: Article
Times cited : (25)

References (10)
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    • Benamou, J.D.1    Brenier, Y.2
  • 2
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    • Brenier, Y.1
  • 3
    • 0041047532 scopus 로고    scopus 로고
    • A homogenized model for vortex sheets
    • Y. Brenier, A homogenized model for vortex sheets, Arch. Rational Mech. Anal., 138 (1997), pp. 319-353.
    • (1997) Arch. Rational Mech. Anal. , vol.138 , pp. 319-353
    • Brenier, Y.1
  • 4
    • 84990563964 scopus 로고
    • Boundary regularity of maps with convex potentials
    • A. Caffarelli, Boundary regularity of maps with convex potentials, Comm. Pure Appl. Math., 45 (1992), pp. 1141-1151.
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 1141-1151
    • Caffarelli, A.1
  • 5
    • 0030366438 scopus 로고    scopus 로고
    • Boundary regularity of maps with convex potentials
    • L. A. Caffarelli, Boundary regularity of maps with convex potentials. II, Ann. of Math. (2), 144 (1996), pp. 453-496.
    • (1996) II, Ann. of Math. , vol.144 , Issue.2 , pp. 453-496
    • Caffarelli, L.A.1
  • 7
    • 77957039678 scopus 로고
    • Augmented lagrangian methods. Applications to the numerical solution of boundary value problems
    • North-Holland, Amsterdam
    • M. Fortin and R. Glowinski, Augmented Lagrangian Methods. Applications to the Numerical Solution of Boundary Value Problems, Stud. Math. Appl. 15, North-Holland, Amsterdam, 1983.
    • (1983) Stud. Math. Appl. , vol.15
    • Fortin, M.1    Glowinski, R.2
  • 8
    • 0001103156 scopus 로고    scopus 로고
    • The geometry of optimal transportation
    • W. Gangbo and R. J. McCann, The geometry of optimal transportation, Acta Math., 177 (1996), pp. 113-161.
    • (1996) Acta Math. , vol.177 , pp. 113-161
    • Gangbo, W.1    McCann, R.J.2
  • 9
    • 0031161793 scopus 로고    scopus 로고
    • A convexity principle for interacting gases
    • R. J. McCann, A convexity principle for interacting gases, Adv. Math., 128 (1997), pp. 153-179.
    • (1997) Adv. Math. , vol.128 , pp. 153-179
    • McCann, R.J.1
  • 10
    • 0035618489 scopus 로고    scopus 로고
    • Polar factorization of maps on Riemannian manifolds
    • R. J. McCann, Polar factorization of maps on Riemannian manifolds, Geom. Funct. Anal., 11 (2001), pp. 589-608.
    • (2001) Geom. Funct. Anal. , vol.11 , pp. 589-608
    • McCann, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.