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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2004 Volume 141, Number 2, Pages 163–177 (Mi tmf123)

This article is cited in 1 paper

Quantum Dot and Antidot Infrared Photodetectors: Iterative Methods for Solving the Laplace Equation in Domains with Involved Geometry

B. S. Pavlova, V. I. Ryzhiib

a University of Auckland
b University of Aizu

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 functionsá Poisson mapá maximum principle.

Received: 22.09.2003
Revised: 18.02.2004

DOI: 10.4213/tmf123


 English version:
Theoretical and Mathematical Physics, 2004, 141:2, 1469–1481

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© Steklov Math. Inst. of RAS, 2026