Phys. Rev. D 54, 7361–7372 (1996)Adaptive mesh and geodesically sliced Schwarzschild spacetime in 3+1 dimensionsReceived 21 August 1996; published in the issue dated 15 December 1996 We present the first results obtained with a (3+1)-dimensional adaptive mesh code in numerical general relativity. The adaptive mesh is used in conjunction with a standard ADM code for the evolution of a dynamically sliced Schwarzschild spacetime (geodesic slicing). We argue that the adaptive mesh is particularly natural in the context of general relativity, where apart from adaptive mesh refinement for numerical efficiency one may want to use the built in flexibility to do numerical relativity on coordinate patches. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.54.7361
DOI:
10.1103/PhysRevD.54.7361
PACS:
04.25.Dm, 95.30.Sf, 97.60.Lf
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