We have developed and applied an ab initio fully relativistic method for precise calculations of outer-shell transitions in highly charged ions. This method is based on the multiconfiguration Dirac-Fock-Sturm theory in combination with Brillouin-Wigner many-body perturbation theory. We demonstrate the capability of the method through calculations of the 3s, 3d→2p transitions in Fe XIX. The basis set, constructed out of Dirac-Fock and Sturm one-electron wave functions, allows calculations with an accuracy of less than a few 10-3 sr than 1% for the oscillator strengths. Some of the transitions given here have not been observed or calculated previously.