Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Cartesian FMM-accelerated Galerkin boundary integral Poisson-Boltzmann
  solver   The Poisson-Boltzmann model is an effective and popular approach for modeling
solvated biomolecules in continuum solvent with dissolved electrolytes. In this
paper, we report our recent work in developing a Galerkin boundary integral
method for solving the Poisson-Boltzmann (PB) equation. The solver has combined
advantages in accuracy, efficiency, and memory usage as it applies a well-posed
boundary integral formulation to circumvent many numerical difficulties
associated with the PB equation and uses an O(N) Cartesian Fast Multipole
Method (FMM) to accelerate the GMRES iteration. In addition, special numerical
treatments such as adaptive FMM order, block diagonal preconditioners, Galerkin
discretization, and Duffy's transformation are combined to improve the
performance of the solver, which is validated on benchmark Kirkwood's sphere
and a series of testing proteins.

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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph