论文信息 - Optimal transport, shape optimization and global minimization

Optimal transport, shape optimization and global minimization

Abstract We present the numerical solution of general optimal transport problems through global minimization formulated as solution of boundary value problems. The paper is not on optimal transport but aims to show that the optimization problem behind needs global solutions. One gives also interest to the variable sign right-hand-side case with application to shape optimization for surfaces at given curvature. Both the positive and variable sign problems have local minima, but have unique global solution. To cite this article: B. Mohammadi, C. R. Acad. Sci. Paris, Ser. I 344 (2007).

Bijan Mohammadi

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