THE DIRICHLET TO NEUMANN MAP FOR A RESISTOR NETWORK

被引:49
|
作者
CURTIS, EB
MORROW, JA
机构
[1] Univ of Washington, Seattle, WA
关键词
NETWORK OF RESISTORS; INVERSE PROBLEM; CONDUCTIVITY;
D O I
10.1137/0151051
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Relations that characterize the Dirichlet to Neumann map for a square network of resistors are given. Using these relations, a parametrization of the set of Dirichlet to Neumann maps is given.
引用
收藏
页码:1011 / 1029
页数:19
相关论文
共 50 条
  • [1] The Generalized Dirichlet to Neumann Map
    [J]. UNIFIED APPROACH TO BOUNDARY VALUE PROBLEMS, 2008, 78 : 283 - 299
  • [2] The Dirichlet to Neumann Map for a Moving Boundary
    [J]. UNIFIED APPROACH TO BOUNDARY VALUE PROBLEMS, 2008, 78 : 113 - 123
  • [3] On the local Dirichlet-to-Neumann map
    Uhlmann, G
    [J]. NEW ANALYTIC AND GEOMETRIC METHODS IN INVERSE PROBLEMS, 2004, : 261 - 279
  • [4] The scattering relation and the Dirichlet-to-Neumann map
    Pestov, Leonid
    Uhlmann, Gunther
    [J]. RECENT ADVANCES IN DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2006, 412 : 249 - 262
  • [5] The Neumann-to-Dirichlet map in two dimensions
    Imanuvilov, O. Yu.
    Uhlmann, Gunther
    Yamamoto, M.
    [J]. ADVANCES IN MATHEMATICS, 2015, 281 : 578 - 593
  • [6] APPROXIMATION OF THE ELASTIC DIRICHLET-TO-NEUMANN MAP
    Vodev, Georgi
    [J]. INVERSE PROBLEMS AND IMAGING, 2023, 17 (01) : 297 - 318
  • [7] Partial Data for the Neumann-to-Dirichlet Map
    Francis J. Chung
    [J]. Journal of Fourier Analysis and Applications, 2015, 21 : 628 - 665
  • [8] Partial Data for the Neumann-to-Dirichlet Map
    Chung, Francis J.
    [J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2015, 21 (03) : 628 - 665
  • [9] Hyperbolic geometry and local Dirichlet-Neumann map
    Isozaki, H
    Uhlmann, G
    [J]. ADVANCES IN MATHEMATICS, 2004, 188 (02) : 294 - 314
  • [10] The Determinant of the Dirichlet-to-Neumann Map for Surfaces with Boundary
    Guillarmou, Colin
    Guillope, Laurent
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, 2007