Three-dimensional adaptive evolution of gravitational waves in numerical   relativity
  Adaptive techniques are crucial for successful numerical modeling of gravitational waves from astrophysical sources such as coalescing compact binaries, since the radiation typically has wavelengths much larger than the scale of the sources. We have carried out an important step toward this goal, the evolution of weak gravitational waves using adaptive mesh refinement in the Einstein equations. The 2-level adaptive simulation is compared with unigrid runs at coarse and fine resolution, and is shown to track closely the features of the fine grid run. 
Kimberly C. B. New, Dae-Il Choi, Joan M. Centrella, Peter MacNeice,   Mijan F. Huq, and Kevin Olson