Numerical Solution of Monge–Kantorovich Equations via a Dynamic Formulation
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DOI: 10.1007/s10915-020-01170-8
Abstract: We extend our previous work on a biologically inspired dynamic Monge–Kantorovich model (Facca et al. in SIAM J Appl Math 78:651–676, 2018) and propose it as an effective tool for the numerical solution of the $$L^{1}$$… read more here.
Keywords: numerical solution; equations via; monge; kantorovich equations ... See more keywords
A multigrid scheme for 3D Monge–Ampère equations*
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DOI: 10.1080/00207160.2016.1247443
Abstract: ABSTRACT The elliptic Monge–Ampère equation is a fully nonlinear partial differential equation which has been the focus of increasing attention from the scientific computing community. Fast three-dimensional solvers are needed, for example in medical image… read more here.
Keywords: equation; amp equations; monge; scheme monge ... See more keywords
Monotonicity of solutions for a class of nonlocal Monge-Ampère problem
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DOI: 10.3934/cpaa.2020237
Abstract: In this paper, we consider nonlinear problems involving nonlocal Monge-Ampere operators. By using a sliding method, we establish monotonicity of positive solutions for nonlocal Monge-Ampere problems both in an infinite slab and in an upper… read more here.
Keywords: nonlocal monge; solutions class; monge; monge ampere ... See more keywords