Non-linear potential problems
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.
KeywordsHeat Transfer Coefficient Boundary Element Boundary Element Method Boundary Integral Equation Mixed Boundary Condition
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