Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines   We consider an adaptive algorithm for finite element methods for the
isogeometric analysis (IGAFEM) of elliptic (possibly non-symmetric)
second-order partial differential equations in arbitrary space dimension
$d\ge2$. We employ hierarchical B-splines of arbitrary degree and different
order of smoothness. We propose a refinement strategy to generate a sequence of
locally refined meshes and corresponding discrete solutions. Adaptivity is
driven by some weighted residual a posteriori error estimator. We prove linear
convergence of the error estimator (resp. the sum of energy error plus data
oscillations) with optimal algebraic rates. Numerical experiments underpin the
theoretical findings.

11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics