Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional a posteriori error estimates for parabolic obstacle problems   The paper is concerned with functional type a posteriori estimates for the
initial boundary value problem for a parabolic partial differential equation
with an obstacle. We deduce a guaranteed and computable bound of the distance
between the exact minimizer and any function from the admissible (energy) class
of functions. Applications to the analysis of modeling errors caused by data
implification are discussed. An important case of time incremental
approximations is specially studied. Numerical examples presented in the last
section show how the estimates work in practice.

35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph