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Volumn 340, Issue 4, 2005, Pages 319-324

Numerical solution of the Monge-Ampère equation by a Newton's algorithm;Une méthode numérique de résolution de l'equation de Monge-Ampère

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EID: 13844310722     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2004.12.018     Document Type: Article
Times cited : (85)

References (10)
  • 1
    • 0034407460 scopus 로고    scopus 로고
    • A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
    • J.-D. Benamou Y. Brenier A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem Numer. Math. 84 3 2000 375-393
    • (2000) Numer. Math. , vol.84 , Issue.3 , pp. 375-393
    • Benamou, J.-D.1    Brenier, Y.2
  • 3
    • 0002068394 scopus 로고
    • 2,p estimates for solutions of Monge-Ampère equation
    • 2,p estimates for solutions of Monge-Ampère equation Ann. Math. (2) 131 1 1990 135-150
    • (1990) Ann. Math. (2) , vol.131 , Issue.1 , pp. 135-150
    • Caffarelli, L.1
  • 4
    • 0002449458 scopus 로고
    • Fully Nonlinear Elliptic Equations
    • Providence, RI: American Mathematical Society
    • L. Caffarelli X. Cabre Fully Nonlinear Elliptic Equations Amer. Math. Soc. Coll. Publ. vol. 43 1995 American Mathematical Society Providence, RI
    • (1995) Amer. Math. Soc. Coll. Publ. , vol.43
    • Caffarelli, L.1    Cabre, X.2
  • 5
    • 0038783139 scopus 로고    scopus 로고
    • Numerical solution of the two-dimensional elliptic Mongen - Ampère equation with Dirichlet boundary conditions: An augmented Lagrangian approach
    • E. Dean R. Glowinski Numerical solution of the two-dimensional elliptic Monge-Ampère equation with Dirichlet boundary conditions: An augmented Lagrangian approach C. R. Acad. Sci. Paris, Ser. I 336 9 2003 779-784
    • (2003) C. R. Acad. Sci. Paris, Ser. I , vol.336 , Issue.9 , pp. 779-784
    • Dean, E.1    Glowinski, R.2
  • 6
    • 10644254249 scopus 로고    scopus 로고
    • Numerical solution of the two-dimensional elliptic Monge - Ampère equation with Dirichlet boundary conditions: A least square approach
    • E. Dean R. Glowinski Numerical solution of the two-dimensional elliptic Monge-Ampère equation with Dirichlet boundary conditions: A least square approach C. R. Acad. Sci. Paris, Ser. I 339 12 2004 887-892
    • (2004) C. R. Acad. Sci. Paris, Ser. I , vol.339 , Issue.12 , pp. 887-892
    • Dean, E.1    Glowinski, R.2
  • 7
    • 0003259059 scopus 로고
    • Elliptic Partial Differential Equations of Second Order
    • second ed. Berlin: Springer-Verlag
    • D. Gilbarg N. Trudinger Elliptic Partial Differential Equations of Second Order second ed. Grundlehren Math. Wiss. [Fund. Princ. Math. Sci.] vol. 224 1983 Springer-Verlag Berlin
    • (1983) Grundlehren Math. Wiss. [Fund. Princ. Math. Sci.] , vol.224
    • Gilbarg, D.1    Trudinger, N.2
  • 9
    • 0003208019 scopus 로고
    • Numerical Approximation of Partial Differential Equations
    • Berlin: Springer-Verlag
    • Q. Quarteroni A. Valli Numerical Approximation of Partial Differential Equations Comput. Math. vol. 23 1994 Springer-Verlag Berlin
    • (1994) Comput. Math. , vol.23
    • Quarteroni, Q.1    Valli, A.2
  • 10
    • 2442557820 scopus 로고    scopus 로고
    • Topics in Optimal Transportation
    • American Mathematical Society
    • C. Villani Topics in Optimal Transportation Graduate Ser. in Math. 2003 American Mathematical Society
    • (2003) Graduate Ser. in Math.
    • Villani, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.