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math.NA2014★ 23 cited
The Geometry of r-adaptive meshes generated using Optimal Transport Methods
C. J. Budd, R. D. Russell, E. Walsh
The principles of mesh equidistribution and alignment play a fundamental role in the design of adaptive methods, and a metric tensor M and mesh metric are useful theoretical tools…
math.NA2014
The Alignment Properties of Monge-Ampere based Mesh Redistribution Methods: I Linear Features
C. J. Budd, R. D. Russell, E. Walsh
Many adaptive mesh methods explicitly or implicitly use equidistribution and alignment. These principles can be considered central to mesh adaption. A Metric Tensor is the tool by…