In this letter, a methodology is proposed for automatically (and
locally) obtaining the shape factor c for the Gaussian basis functions, for each
support domain, in order to increase numerical precision and mainly to avoid
matrix inversion impossibilities. The concept of calibration function is introduced,
which is used for obtaining c. The methodology developed was applied for a 2-D
numerical experiment, which results are compared to analytical solution. This
comparison revels that the results associated to the developed methodology are
very close to the analytical solution for the entire bandwidth of the excitation
pulse. The proposed methodology is called in this work Local Shape Factor
Calibration Method (LSFCM).