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A finite-element formulation based on a discrete electromagnetism is developed to simulate electro-quasistatic fields on unstructured meshes. The presented formulation takes dielectric effects into account as well as nonlinear conductive effects. The implementation is based on discrete differential forms on an unstructured 3-D mesh. Numerical results of the simulation of a three dimensional high-voltage surge arrester consisting of linear and nonlinear materials are shown. An algebraic multigrid method is introduced as a preconditioner to nonstandard projected preconditioned conjugate-gradient linear system solver
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Steinmetz et al. (2006) studied this question.
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