2007/12/10 by R. Criado, L. J. Gray, V. Mantič +2
Engineering · Physics and Astronomy · #Numerical methods in engineering #Electromagnetic Simulation and Numerical Methods #Electromagnetic Scattering and Analysis
paper · doi:10.1002/nme.2223
Abstract The numerical implementation of Green's function for an isotropic exponentially graded three‐dimensional elastic solid is reported. The formulas for the non‐singular ‘grading term’ in this Green's function, originally deduced by Martin et al . ( Proc. R. Soc. Lond. Ser. A 2000; 458 :1931–1947), are quite complicated, and a small error in one of the formulas is corrected. The evaluation of the fundamental solution is tested by employing an indirect boundary integral formulation using a Galerkin approximation to solve several problems having analytic solutions. The numerical results indicate that Green's function formulas, and their evaluation, are correct. Copyright © 2007 John Wiley & Sons, Ltd.