THE FORWARD PROBLEM OF ELECTROMAGNETIC INDUCTION - ACCURATE FINITE-DIFFERENCE APPROXIMATIONS FOR 2-DIMENSIONAL DISCRETE BOUNDARIES WITH ARBITRARY GEOMETRY

Citation
C. Aprea et al., THE FORWARD PROBLEM OF ELECTROMAGNETIC INDUCTION - ACCURATE FINITE-DIFFERENCE APPROXIMATIONS FOR 2-DIMENSIONAL DISCRETE BOUNDARIES WITH ARBITRARY GEOMETRY, Geophysical journal international, 129(1), 1997, pp. 29-40
Citations number
22
Categorie Soggetti
Geochemitry & Geophysics
ISSN journal
0956540X
Volume
129
Issue
1
Year of publication
1997
Pages
29 - 40
Database
ISI
SICI code
0956-540X(1997)129:1<29:TFPOEI>2.0.ZU;2-J
Abstract
We describe finite-difference approximations to the equations of 2-D e lectromagnetic induction that permit discrete boundaries to have arbit rary geometrical relationships to the nodes. This allows finite-differ ence modelling with the flexibility normally ascribed to finite-elemen t modelling. Accuracy is demonstrated by comparison with finite-elemen t computations. We also show that related approximations lead to subst antially improved accuracy in regions of steep, but not discontinuous, conductivity gradient.