23 citations · 37 across the 3 of their papers we have counts for
3 papers
math.NA2015★ 14 cited
A comparative numerical study of meshing functionals for variational mesh adaptation
Weizhang Huang, Lennard Kamenski, Robert D. Russell
We present a comparative numerical study for three functionals used for variational mesh adaptation. One of them is a generalisation of Winslow's variable diffusion functional whil…
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…