The forward problem of electromagnetic induction: accurate finite-difference approximations for two-dimensional discrete boundaries with arbitrary geometry

Autor:	Claudia Aprea, J. Torquil Smith, John R. Booker
Rok vydání:	1997
Předmět:	Flexibility (engineering) Geophysics Geochemistry and Petrology Computation Mathematical analysis Finite difference method Finite difference Finite difference coefficient Electromagnetic induction Mathematics
Zdroj:	Geophysical Journal International. 129:29-40
ISSN:	1365-246X 0956-540X
DOI:	10.1111/j.1365-246x.1997.tb00936.x
Popis:	SUMMARY 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.
Databáze:	OpenAIRE
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