The University of Southampton
University of Southampton Institutional Repository

Summation by parts and dissipation for domains with excised regions

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
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
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, 5735-5757. (doi:10.1088/0264-9381/21/24/004).

Record type: Article

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.

Full text not available from this repository.

More information

Published date: 2004

Identifiers

Local EPrints ID: 40854
URI: http://eprints.soton.ac.uk/id/eprint/40854
PURE UUID: e2fb1f2e-b3e5-4ed4-8178-cccdfca56e3c

Catalogue record

Date deposited: 11 Jul 2006
Last modified: 15 Jul 2019 18:58

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×