Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Discontinuous Ritz Method for a Class of Calculus of Variations
  Problems   This paper develops an analogue (or counterpart) to discontinuous Galerkin
(DG) methods for approximating a general class of calculus of variations
problems. The proposed method, called the discontinuous Ritz (DR) method,
constructs a numerical solution by minimizing a discrete energy over DG
function spaces. The discrete energy includes standard penalization terms as
well as the DG finite element (DG-FE) numerical derivatives developed recently
by Feng, Lewis, and Neilan in [Feng2013]. It is proved that the proposed DR
method converges and that the DG-FE numerical derivatives exhibit a compactness
property which is desirable and crucial for applying the proposed DR method to
problems with more complex energy functionals. Numerical tests are provided on
the classical $p$-Laplace problem to gauge the performance of the proposed DR
method.

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The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
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The categories of this paper are: eess
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex