An important problem in high-tension pourer plants are arc-overs on moist or contaminated insulators. The electrostatic field of the charge-free space prevails essentially below a critical voltage U-k. However, the dielectric material looses its insulating characteristics above U-k. It becomes the carrier of a discharge which builds up a conducting connection along the insulator. It is a matter of slowly variable fields (50 Hz), for which the displacement current is a significant quantity. These slowly variable fields can be determined by solving a complex potential problem. Discretization leads to a complex system of linear equations with symmetric matrix. This system is solved by various modern conjugate gradient-type methods. [References: 10]
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