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We present an implementation of the Galerkin-Collocation method to determinethe initial data for non-rotating distorted three dimensional black holes inthe inversion and puncture schemes. The numerical method combines the keyfeatures of the Galerkin and Collocation methods which produces accurateinitial data. We evaluated the ADM mass of the initial data sets, and we haveprovided the angular structure of the gravitational wave distribution at theinitial hypersurface by evaluating the scalar $\Psi_4$ for asymptoticobservers.

Three dimensional distorted black holes: using the Galerkin-Collocation method