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Quantum Dot and Antidot Infrared Photodetectors: Iterative Methods for Solving the Laplace Equation in Domains with Involved Geometry
Authors:Pavlov  B S  Ryzhii  V I
Institution:(1) Department of Mathematics, University of Auckland, Auckland, New Zealand
Abstract:We propose iteration methods for solving the Dirichlet problem in domains with involved geometry. Such problems arise in relation to the problem of optimizing quantum dot and antidot infrared detectors. We estimate the deviation of an approximate solution from the exact solution.
Keywords:harmonic functions  Poisson map  maximum principle
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