Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Illustration of iterative linear solver behavior on simple 1D and 2D
  problems   In geometry processing, numerical optimization methods often involve solving
sparse linear systems of equations. These linear systems have a structure that
strongly resembles to adjacency graphs of the underlying mesh. We observe how
classic linear solvers behave on this specific type of problems. For the sake
of simplicity, we minimise either the squared gradient or the squared
Laplacian, evaluated by finite differences on a regular 1D or 2D grid. We
observed the evolution of the solution for both energies, in 1D and 2D, and
with different solvers: Jacobi, Gauss-Seidel, SSOR (Symmetric successive
over-relaxation) and CG (conjugate gradient [She94]). Plotting results at
different iterations allows to have an intuition of the behavior of these
classic solvers.

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The categories of this paper are: math-ph
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The categories of this paper are: econ
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: acc-phys