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math.NA2016★ 2 cited
Nonlinear solution techniques for solving a Monge-Ampère equation for redistribution of a mesh
P. A. Browne, J. Prettyman, H. Weller +2
A Monge-Ampère (MA) equation arises when seeking an optimally transported mesh that equidistributes a given monitor function in Cartesian space. This MA equation is a fully nonline…
math.NA2015★ 41 cited
Mesh Adaptation on the Sphere using Optimal Transport and the Numerical Solution of a Monge-Ampère type Equation
Hilary Weller, Philip Browne, Chris Budd +1
An equation of Monge-Ampère type has, for the first time, been solved numerically on the surface of the sphere in order to generate optimally transported (OT) meshes, equidistribut…