Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich pr...
Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem
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Cambridge University Press (CUP)
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Language
English
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Cambridge University Press (CUP)
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Contents
We present an adaptation of the MA-LBR scheme to the Monge-Ampère equation with second boundary value condition, provided the target is a convex set. This yields a fast adaptive method to numerically solve the Optimal Transport problem between two absolutely continuous measures, the second of which has convex support. The proposed numerical method...
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Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem
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TN_cdi_hal_primary_oai_HAL_hal_01616842v3
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_01616842v3
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ISSN
0956-7925
E-ISSN
1469-4425
DOI
10.1017/S0956792518000451