Abstract
We derive asymptotic formulas for two dimensional steady state voltage potentials associated with thin, "curve-like" conductivity imperfections. Our derivation is formal, and based on asymptotic matching of terms in an appropriate set of integral equations. In combination with the formulas (rigorously) derived in [3] for imperfections of small diameter, these new formulas cover the generic imperfections of small area in two dimensions.
| Original language | English |
|---|---|
| Pages (from-to) | 543-572 |
| Number of pages | 30 |
| Journal | Zeitschrift fur Angewandte Mathematik und Physik |
| Volume | 52 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2001 |
Keywords
- Asymptotic formulas
- Inverse conductivity problem
- Thin imperfections