On some applications of stochastic collocation method in computational electromagnetics: Applications in ground penetrating radar, bioelectromagnetics, grounding systems and buried lines

The paper reviews the use of deterministic-stochastic models some areas of computational electromagnetics where there is an uncertainty in the input data set, i.e. where some properties of a system are partly or entirely unknown. In such problems a simple stochastic collocation (SC) method is used to properly assess relevant statistics about given responses. The SC approach also provides the assessment of corresponding confidence intervals in the set of obtained numerical results. The expansion of statistical output in terms of mean and variance over a polynomial basis, via SC method, is shown to be robust and efficient approach providing a satisfactory convergence rate. Some illustrative computational examples featuring the specific applications in ground penetrating radar (GPR), human exposure to electromagnetic fields, buried lines and grounding systems are also given in the paper.