# Evolutions in 3D numerical relativity using fixed mesh refinement

@article{Schnetter2004EvolutionsI3, title={Evolutions in 3D numerical relativity using fixed mesh refinement}, author={Erik Schnetter and Scott H. Hawley and Ian Hawke}, journal={Classical and Quantum Gravity}, year={2004}, volume={21}, pages={1465-1488} }

We present results of 3D numerical simulations using a finite difference code featuring fixed mesh refinement (FMR), in which a subset of the computational domain is refined in space and time. We apply this code to a series of test cases including a robust stability test, a nonlinear gauge wave and an excised Schwarzschild black hole in an evolving gauge. We find that the mesh refinement results are comparable in accuracy, stability and convergence to unigrid simulations with the same effective…

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