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Communications: The Metropolis Monte Carlo finite element algorithm for electrostatic interactions
4.J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).
12.T. J. R. Hughes, The Finite Element Method (Dover, Mineola, New York, 2000).
13.D. Braess, Finite Elements (Cambridge University Press, New York, 2001).
14.L. Ramdas Ram-Mohan, Finite Element and Boundary Element Applications in Quantum Mechanics (Oxford University Press, New York, 2002).
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The Metropolis Monte Carlo algorithm with the finite element method applied to compute electrostatic interaction energy between charge densities is described in this work. By using the finite element method to integrate numerically Poisson’s equation, it is shown that the computing time to obtain the acceptance probability of an elementary trial move does not, in principle, depend on the number of charged particles present in the system.
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