components of Equation (3.2) is used to find the potential while the equations for r. derivatives are obtained by differentiating (3.2) with respect to i.e. p/xj xj, (3.6)‎ The derivatives of the fundamental solution in the integral kernels of Equation (3.6) can be evaluated analytically as given below: (3.7) and (3.8) Equation (3.2) can be discretized as: (3.9) where and are the matrix coefficients arising from the double layer and the Hik Gik single layer integrals, respectively, and is the number of fictitious nodes on the Jbn boundary. Note that in equation (3.9), and are the values of the potential and the pj qj flux, respectively, at the fictitious nodes on the boundary of local sub-domain, whereas is the potential value at the source node. Therefore, the parameters and pi pj
components of r. Equation (3.2) is used to find the potential while the equations for derivatives p/xj are obtained by differentiating (3.2) with respect to xj, i.e. (3.6)‎ The derivatives of the fundamental solution in the integral kernels of Equation (3.6) can be evaluated analytically as given below: (3.7) and (3.8) Equation (3.2) can be discretized as: (3.9) where Hik and Gik are the matrix coefficients arising from the double layer and the single layer integrals, respectively, and Jbn is the number of fictitious nodes on the boundary. Note that in equation (3.9), pj and qj are the values of the potential and the flux, respectively, at the fictitious nodes on the boundary of local sub-domain, whereas pi is the potential value at the source node. Therefore, the parameters pj and
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