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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 141, Number 2, Pages 163–177
DOI: https://doi.org/10.4213/tmf123 (Mi tmf123) 		 
This article is cited in 1 scientific paper (total 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
Full-text PDF (279 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf123
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 functionsб Poisson mapб maximum principle.
Received: 22.09.2003
Revised: 18.02.2004
English version:
Theoretical and Mathematical Physics, 2004, Volume 141, Issue 2, Pages 1469–1481
DOI: https://doi.org/10.1023/B:TAMP.0000046557.10940.d0
Bibliographic databases:
Language: Russian
Citation: B. S. Pavlov, V. I. Ryzhii, “Quantum Dot and Antidot Infrared Photodetectors: Iterative Methods for Solving the Laplace Equation in Domains with Involved Geometry”, TMF, 141:2 (2004), 163–177; Theoret. and Math. Phys., 141:2 (2004), 1469–1481
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\pages 1469--1481
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  • https://www.mathnet.ru/eng/tmf/v141/i2/p163
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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