Summation by parts and dissipation for domains with excised regions
Summation by parts and dissipation for domains with excised regions
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 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.
5735-5757
Calabrese, Gioel
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Lehner, Luis
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Reula, Oscar
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Sarbach, Olivia
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Tiglio, Manuel
70c1e9ee-b30c-4354-af43-1bd3b4b6af24
2004
Calabrese, Gioel
b6d18b27-64cd-426f-b86e-1b3a848f03ed
Lehner, Luis
1b8c9b8f-a6d4-4448-ab80-1dca2b6ad312
Reula, Oscar
1d224690-9074-4778-ba9e-d90bf7ef6aeb
Sarbach, Olivia
369a14bc-e357-4e47-8d09-270f7f8120bc
Tiglio, Manuel
70c1e9ee-b30c-4354-af43-1bd3b4b6af24
Calabrese, Gioel, Lehner, Luis, Reula, Oscar, Sarbach, Olivia and Tiglio, Manuel
(2004)
Summation by parts and dissipation for domains with excised regions.
Classical and Quantum Gravity, 21, .
(doi:10.1088/0264-9381/21/24/004).
Abstract
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 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.
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Published date: 2004
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Local EPrints ID: 40854
URI: http://eprints.soton.ac.uk/id/eprint/40854
PURE UUID: e2fb1f2e-b3e5-4ed4-8178-cccdfca56e3c
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Date deposited: 11 Jul 2006
Last modified: 15 Mar 2024 08:23
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Author:
Gioel Calabrese
Author:
Luis Lehner
Author:
Oscar Reula
Author:
Olivia Sarbach
Author:
Manuel Tiglio
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