Acceleration of multiple calculations of the matrix of electrostatic induction coefficients of a strip structure

Annotation: The results of the implementation, in several mathematical packages, of the algorithm for multiple calculations of a matrix of electrostatic induction coefficients for strip structure that differs from the original algorithm by using the block LUdecomposition for a system of linear algebraic equations solution are given. The evaluation of the performance of both obtained and original algorithms is made. Numerical estimates of acceleration of the multiple system of linear algebraic equations solution in the range of dielectric permittivity are obtained. Comparison of computational and analytical estimates are made and their agreement with each other is shown. An algorithm step characterized by the highest costs was revealed, and options for its improvement are proposed.

Keywords: strip structure, matrix for coefficients of electrostatic induction, multiple solution, linear algebraic system, block lu-decomposition, analytical and numerical evaluation