Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nodal auxiliary space preconditioning for the surface de Rham complex   This work develops optimal preconditioners for the discrete H(curl) and
H(div) problems on two and three-dimensional hypersurfaces by nodal auxiliary
space preconditioning [R. Hiptmair, J. Xu: SIAM J. Numer. Anal. 45, 2483-2509
(2007)]. In particular, on unstructured triangulated surfaces, we develop fast
and user-friendly preconditioners for the edge and face element discretizations
of curl-curl and grad-div problems based on inverting several discrete surface
Laplacians. The proposed preconditioners lead to efficient iterative methods
for computing harmonic tangential vector fields on discrete surfaces. Numerical
experiments on hypersurfaces are presented to test the performance of those
surface preconditioners.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an