Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive Nonlinear Optimization of District Heating Networks Based on
  Model and Discretization Catalogs   We propose an adaptive optimization algorithm for operating district heating
networks in a stationary regime. The behavior of hot water flow in the pipe
network is modeled using the incompressible Euler equations and a suitably
chosen energy equation. By applying different simplifications to these
equations, we derive a catalog of models. Our algorithm is based on this
catalog and adaptively controls where in the network which model is used.
Moreover, the granularity of the applied discretization is controlled in a
similar adaptive manner. By doing so, we are able to obtain optimal solutions
at low computational costs that satisfy a prescribed tolerance w.r.t. the most
accurate modeling level. To adaptively control the switching between different
levels and the adaptation of the discretization grids, we derive error formulas
and a posteriori error estimators. Under reasonable assumptions we prove that
the adaptive algorithm terminates after finitely many iterations. Our numerical
results show that the algorithm is able to produce solutions for problem
instances that have not been solvable before.

15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph