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The Large Hadron Collider (LHC) project is an accelerator for protons and h
eavy ions, to be installed at CERN. The field distribution in the supercond
ucting LHC main dipoles is dominated by the coil configuration and is very
sensitive to the conductor position. Therefore modelling errors on the coil
geometry have to be avoided using a method which does not require the mesh
ing of the coil. For the 2-D calculation of iron induced field effects, the
reduced vector potential formulation with node-based elements was recently
applied. This paper deals with the extension of the method to three dimens
ions.