Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Numerical Minimization Scheme for the Complex Helmholtz Equation   We use the work of Milton, Seppecher, and Bouchitt\'{e} on variational
principles for waves in lossy media to formulate a finite element method for
solving the complex Helmholtz equation that is based entirely on minimization.
In particular, this method results in a finite element matrix that is symmetric
positive-definite and therefore simple iterative descent methods and
preconditioning can be used to solve the resulting system of equations. We also
derive an error bound for the method and illustrate the method with numerical
experiments.

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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph