Title
A variational approach to high-order r-adaptation.
Abstract
A variational framework, initially developed for high-order mesh optimisation, is being extended for r-adaptation. The method is based on the minimisation of a functional of the mesh deformation. To achieve adaptation, elements of the initial mesh are manipulated using metric tensors to obtain target elements. The nonlinear optimisation in turns adapts the final high-order mesh to best fit the description of the target elements by minimising the element distortion. Encouraging preliminary results prove that the method behaves well and can be used in the future for more extensive work which shall include the use of error indicators from CFD simulations.
Year
Venue
DocType
2019
arXiv: Computational Geometry
Journal
Volume
ISSN
Citations 
abs/1901.00990
26th International Meshing Roundtable (2017)
0
PageRank 
References 
Authors
0.34
1
5
Name
Order
Citations
PageRank
Julian Marcon101.01
Michael Turner201.35
David Moxey393.02
Spencer J. Sherwin414016.13
Joaquim Peiró500.68