Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A variational approach to high-order r-adaptation   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.

24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph