This paper proposes a method for multi-terminal resistor optimal design bas
ed on a stochastic optimization algorithm coupled with a high accuracy boun
dary element method numerical analysis module using spline boundary element
s. The aim of the optimization process is to find out the optimal shape of
the resistor so that the values of the partial resistances between its term
inals can be globally reduced. In the first Part of the paper, a short intr
oduction to the boundary element method formulation using spline interpolat
ion of the boundary unknowns is performed Then, the genetic algorithm optim
ization method is briefly described emphasising the numerical implementatio
n particularities related to the actual application. In the second part of
the paper, three numerical examples are proposed and the final conclusions
are outlined.