Electrostatic Simulation in Dielectric Composite Material by Extended Element-Free Galerkin Method

To investigate applicability of the eXtended Element-Free Galerkin method (X-EFG) to realistic problems, the X-EFG has been applied to an electrostatic problem in a dielectric composite material. Numerical experiments show that the electrostatic potential obtained by the X-EFG is naturally distributed in the dielectric composite material, and the accuracy of the numerical solution obtained by the X-EFG is almost the same as that of the Standard EFG (S-EFG). In addition, the condition numbers of the coefficient matrices of the linear systems generated by the X-EFG are considerably less than those of the S-EFG.

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