Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anisotropic finite elements for elliptic problems with singular data   We study the problem $-\Delta u = \gamma$, where $\gamma$ is a singular
measure, with support on a curve or a point. We prove that optimal rates of
convergence for the finite element method can be obtained using properly graded
meshes. In particular, we consider isotropic graded meshes when $\gamma$ is a
point Dirac delta, and anisotropic graded meshes when $\gamma$ is a measure
supported on a segment. Numerical experiments are shown that verify our
results, and lead to interesting observations.

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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph