ISSN:
1573-2878
Keywords:
Inverse problems
;
diffusion equations
;
spectral measures
;
asymptotic expansions
;
nonlinear least squares
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper, we consider an inverse problem for a class of two-dimensional diffusion equations with piecewise constant coefficients. This problem is studied using an explicit formula for the relevant spectral measures and an asymptotic expansion of the solution of the diffusion equations. A numerical method that reduces the inverse problem to a sequence of nonlinear least-square problems is proposed and tested on synthetic data.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1021712830465