Abstract
We recently derived a very general representation formula for the boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction (cf. Capdeboscq and Vogelius (2003)). In this paper we show how this representation formula may be used to obtain very accurate estimates for the size of the inhomogeneities in terms of multiple boundary measurements. As demonstrated by our computational experiments, these estimates are significantly better than previously known (single measurement) estimates, even for moderate volume fractions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 227-240 |
| Number of pages | 14 |
| Journal | Mathematical Modelling and Numerical Analysis |
| Volume | 37 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2003 |
All Science Journal Classification (ASJC) codes
- Analysis
- Numerical Analysis
- Modeling and Simulation
- Computational Mathematics
- Applied Mathematics
Keywords
- Conductivity inhomogeneities
- Low volume fraction
- Volume estimates