Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A numerically stable a posteriori error estimator for reduced basis
  approximations of elliptic equations   The Reduced Basis (RB) method is a well established method for the model
order reduction of problems formulated as parametrized partial differential
equations. One crucial requirement for the application of RB schemes is the
availability of an a posteriori error estimator to reliably estimate the error
introduced by the reduction process. However, straightforward implementations
of standard residual based estimators show poor numerical stability, rendering
them unusable if high accuracy is required. In this work we propose a new
algorithm based on representing the residual with respect to a dedicated
orthonormal basis, which is both easy to implement and requires little
additional computational overhead. A numerical example is given to demonstrate
the performance of the proposed algorithm.

28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org