Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal error estimates of mixed FEMs for second order hyperbolic
  integro-differential equations with minimal smoothness on initial data   In this article, mixed finite element methods are discussed for a class of
hyperbolic integro-differential equations (HIDEs). Based on a modification of
the nonstandard energy formulation of Baker, both semidiscrete and completely
discrete implicit schemes for an extended mixed method are analyzed and optimal
L^{\infty}(L^2)-error estimates are derived under minimal smoothness
assumptions on the initial data. Further, quasi-optimal estimates are shown to
hold in L^{\infty}(L^{\infty})-norm. Finally, the analysis is extended to the
standard mixed method for HIDEs and optimal error estimates in
L^{\infty}(L^2)-norm are derived again under minimal smoothness on initial
data.

23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat