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A refined numerical technique, based on a variational approach using isoparametric finite-elements is presented for the solution of three-dimensional electromagnetic scattering problems. This technique allows a higher-order approximation of the unknown function over a bounding surface described by non-planar elements. The Rayleigh-Ritz procedure is used to discretize the integral equation. Kernel singularities are treated by separating them from the main integral and solving them analytically. A procedure for establishing the system matrix in a block-sparse form will be described .