Abstract
The applications of boundary elements to linear potential problems were discussed in Chapter 3, Vol. 1 of this series as well as in numerous other publications. In many practical applications, however the potential problems may be non-linear due to using non-linear materials, such as those with potential dependent conductivity or applying non-linear boundary conditions, which frequently occur in problems such as heat conduction. These non-linearities will be discussed in this chapter in detail. Other types of non-linear effects, such as geometric non-linearities are outside the scope of the chapter. Up to recently the presence of non-linearities in potential problems implied subdividing the domain into a series of internal cells. This approach which can be found in other references1 will not be discussed here.
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References
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© 1983 Springer Science+Business Media New York
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Skerget, P., Brebbia, C.A. (1983). Non-linear potential problems. In: Brebbia, C.A. (eds) Progress in Boundary Element Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6300-3_1
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DOI: https://doi.org/10.1007/978-1-4757-6300-3_1
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