A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge

A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge–Ampère Equation

Published:2019-11-04 Issue:3 Volume:81 Page:2271-2302
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Liu Hao^ORCID,Glowinski Roland,Leung Shingyu,Qian Jianliang

Funder

Research Grants Council, University Grants Committee

National Science Foundation

Hong Kong Kennedy Wong foundation

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-019-01080-4.pdf

Reference31 articles.

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3. Benamou, J., Brenier, Y.: A computational fluid mechanics solution to the Monge–Kantorovich mass transfer problem. Numer. Math. 84(3), 375–393 (2000)

4. Böhmer, K.: On finite element methods for fully nonlinear elliptic equations of second order. SIAM J. Numer. Anal. 46(3), 1212–1249 (2008)

5. Brenner, S., Gudi, T., Neilan, M., Sung, L.: $${C}^0$$ penalty methods for the fully nonlinear Monge–Ampère equation. Math. Comput. 80(276), 1979–1995 (2011)

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