Summation by parts and dissipation for domains with excised regions
Aug, 2003
19 pages
Published in:
- Class.Quant.Grav. 21 (2004) 5735-5758
e-Print:
- gr-qc/0308007 [gr-qc]
Report number:
- LSU-REL-080103
View in:
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Abstract: (arXiv)
We discuss finite difference techniques for hyperbolic equations in non-trivial domains, as those that arise when simulating black hole spacetimes. In particular, we construct dissipative and difference operators that satisfy the {\it summation by parts} property in domains with excised multiple cubic regions. This property can be used to derive semi-discrete energy estimates for the associated initial-boundary value problem which in turn can be used to prove numerical stability.- 04.25.-g
- 02.60.-x
- 02.70.-c
- black hole
- dissipation
- boundary condition
- differential equations: solution
- stability
- numerical methods
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