Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-scale methods for convex envelopes   We develop two-scale methods for computing the convex envelope of a
continuous function over a convex domain in any dimension.This hinges on a
fully nonlinear obstacle formulation [A. M. Oberman, "The convex envelope is
the solution of a nonlinear obstacle problem", Proc. Amer. Math. Soc.
135(6):1689--1694, 2007]. We prove convergence and error estimates in the max
norm. The proof utilizes a discrete comparison principle, a discrete barrier
argument to deal with Dirichlet boundary values, and the property of flatness
in one direction within the non-contact set. Our error analysis extends to a
modified version of the finite difference wide stencil method of [A. M.
Oberman, "Computing the convex envelope using a nonlinear partial differential
equation", Math. Models Meth. Appl. Sci, 18(05):759--780, 2008].

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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
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The categories of this paper are: math-ph
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio