Recently, holographic models of local quenches in (1+1)-dimensional conformal field theory (CFT) have been studied in terms of their entanglement entropy. While these have been exactly solved, it has not been clear how the results – particularly the logarithmic time dependence of the entanglement entropy – generalize to higher dimensions. In this talk, I will introduce holographic local quenches and present a new numerical approach to calculating holographic entanglement entropy in (2+1)-dimensional CFTs.