About: Boundary conditions for the BSSN system

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.worldscientific.com/worldscibooks/10.1142/8316#t=toc
Description	Among the most important systems of partial differential equations (PDEs) in numerical relativity are those of the first-order in time and mixed first and second-order in space. Namely, impressive results were obtained by several groups using so-called BSSN system belonging to this category. While the analysis of the first-order in space systems had provided a method of construction of boundary conditions compatible with PDEs, no such recipe is available for second-order in space systems unless it is symmetric hyperbolic. We show, that introducing potentials for evolution variables of a linearized BSSN system, one can find an associated symmetric-hyperbolic system of PDEs which provides boundary conditions for the original BSSN system. Among the most important systems of partial differential equations (PDEs) in numerical relativity are those of the first-order in time and mixed first and second-order in space. Namely, impressive results were obtained by several groups using so-called BSSN system belonging to this category. While the analysis of the first-order in space systems had provided a method of construction of boundary conditions compatible with PDEs, no such recipe is available for second-order in space systems unless it is symmetric hyperbolic. We show, that introducing potentials for evolution variables of a linearized BSSN system, one can find an associated symmetric-hyperbolic system of PDEs which provides boundary conditions for the original BSSN system. (en)
Title	Boundary conditions for the BSSN system Boundary conditions for the BSSN system (en)
skos:prefLabel	Boundary conditions for the BSSN system Boundary conditions for the BSSN system (en)
skos:notation	RIV/00216208:11320/12:10132585!RIV13-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA202/09/0772), P(LC06014), Z(MSM0021620860)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Ledvinka, Tomáš
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	125423
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/12:10132585
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	boundary conditions; numerical relativity (en)
http://linked.open.../riv/klicoveSlovo	boundary conditions numerical relativity
http://linked.open...ontrolniKodProRIV	[F61310733EF0]
http://linked.open...v/mistoKonaniAkce	Paříž, Francie
http://linked.open...i/riv/mistoVydani	Singapore
http://linked.open...i/riv/nazevZdroje	The Twelfth Marcel Grossmann Meeting : On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Current problems of gravitation, general relativity and relativistic astrophysics Center for Theoretical Astrophysics
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Ledvinka, Tomáš
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2009-07-12 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Fyzikální studium objektů a procesů ve sluneční soustavě a v astrofyzikálních systémech
number of pages	3 (xsd:int)
http://bibframe.org/vocab/doi	10.1142/9789814374552_0053
http://purl.org/ne...btex#hasPublisher	World Scientific Publishing
https://schema.org/isbn	978-981-4374-51-4
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	Boundary conditions for the BSSN system

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