Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive Energy Minimisation for $hp$-Finite Element Methods   This article is concerned with the numerical solution of convex variational
problems. More precisely, we develop an iterative minimisation technique which
allows for the successive enrichment of an underlying discrete approximation
space in an adaptive manner. Specifically, we outline a new approach in the
context of $hp$-adaptive finite element methods employed for the efficient
numerical solution of linear and nonlinear second-order boundary value
problems. Numerical experiments are presented which highlight the practical
performance of this new $hp$-refinement technique for both one- and
two-dimensional problems.

5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics