The forward problem of electromagnetic induction: accurate finite-difference approximations for two-dimensional discrete boundaries with arbitrary geometry |
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| Authors: | Claudia Aprea John R Booker J Torquil Smith |
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| Institution: | Geophysics Program, Box 351650, University of Washington, Seattle, WA 98195, USA. E-mail: booker@geophys.washington.edu |
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| Abstract: | We describe finite-difference approximations to the equations of 2-D electromagnetic induction that permit discrete boundaries to have arbitrary geometrical relationships to the nodes. This allows finite-difference modelling with the flexibility normally ascribed to finite-element modelling. Accuracy is demonstrated by comparison with finite-element computations. We also show that related approximations lead to substantially improved accuracy in regions of steep, but not discontinuous, conductivity gradient. |
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| Keywords: | electromagnetic induction finite-difference methods |
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