Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An efficient solver for space-time isogeometric Galerkin methods for
  parabolic problems   In this work we focus on the preconditioning of a Galerkin space-time
isogeometric discretization of the heat equation. Exploiting the tensor product
structure of the basis functions in the parametric domain, we propose a
preconditioner that is the sum of Kronecker products of matrices and that can
be efficiently applied thanks to an extension of the classical Fast
Diagonalization method. The preconditioner is robust w.r.t. the polynomial
degree of the spline space and the time required for the application is almost
proportional to the number of degrees-of-freedom, for a serial execution. By
incorporating some information on the geometry parametrization and on the
equation coefficients, we keep high efficiency with non-trivial domains and
variable thermal conductivity and heat capacity coefficients.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph