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The Hubbard model is implemented in real-space Green's function calculationsof x-ray spectra using an effective self-energy adapted from the LSDA+U methodof Anisimov et al. This self-energy consists of an energy-dependent many-poleapproximation to the GW self-energy with an additive correction due to on-siteCoulomb repulsion among the partially filled localized-electron states. Thisleads to a GW+U approach which provides an efficient procedure to account forlocal correlation effects on x-ray spectra. Results are presented for the spinand angular momentum projected density of states of MnO, NiO, andLa_(2-x)Sr_xCuO_4 (LSCO), for the K-edge x-ray spectra of O atoms in MnO andNiO, and the unoccupied electronic states and O K-edge spectra of undoped LSCO.The method is found to yield reasonable agreement with experiment.

GW+U real-space Green's function calculations of x-ray spectra