Premium
Determination of the Robin coefficient in a nonlinear boundary condition for a steady‐state problem
Author(s) -
Slodička Marián,
Lesnic Daniel
Publication year - 2008
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1095
Subject(s) - mathematics , robin boundary condition , nonlinear system , boundary (topology) , mathematical analysis , boundary value problem , constant (computer programming) , inverse problem , constant coefficients , mixed boundary condition , inverse , steady state (chemistry) , geometry , physics , chemistry , quantum mechanics , computer science , programming language
In this paper, a constant heat transfer coefficient present in a nonlinear Robin‐type boundary condition associated with an elliptic equation is reconstructed uniquely from a single boundary energy measurement. Two types of such boundary energy measurement are considered, and solvability theorems for the solution of the resulting nonlinear inverse problems are provided. Further, one‐dimensional numerical results are presented and discussed. Copyright © 2008 John Wiley & Sons, Ltd.