Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Galerkin least squares finite element method for the obstacle problem   We construct a consistent multiplier free method for the finite element
solution of the obstacle problem. The method is based on an augmented
Lagrangian formulation in which we eliminate the multiplier by use of its
definition in a discrete setting. We prove existence and uniqueness of discrete
solutions and optimal order a priori error estimates for smooth exact
solutions. Using a saturation assumption we also prove an a posteriori error
estimate. Numerical examples show the performance of the method and of an
adaptive algorithm for the control of the discretization error.

13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph