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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F12%3A10132585%21RIV13-GA0-11320___
rdf:type
n15:Vysledek skos:Concept
rdfs:seeAlso
http://www.worldscientific.com/worldscibooks/10.1142/8316#t=toc
dcterms: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.
dcterms:title
Boundary conditions for the BSSN system Boundary conditions for the BSSN system
skos:prefLabel
Boundary conditions for the BSSN system Boundary conditions for the BSSN system
skos:notation
RIV/00216208:11320/12:10132585!RIV13-GA0-11320___
n15:predkladatel
n24:orjk%3A11320
n4:aktivita
n11:P n11:Z
n4:aktivity
P(GA202/09/0772), P(LC06014), Z(MSM0021620860)
n4:dodaniDat
n16:2013
n4:domaciTvurceVysledku
n20:6061230
n4:druhVysledku
n7:D
n4:duvernostUdaju
n14:S
n4:entitaPredkladatele
n25:predkladatel
n4:idSjednocenehoVysledku
125423
n4:idVysledku
RIV/00216208:11320/12:10132585
n4:jazykVysledku
n21:eng
n4:klicovaSlova
boundary conditions; numerical relativity
n4:klicoveSlovo
n6:boundary%20conditions n6:numerical%20relativity
n4:kontrolniKodProRIV
[F61310733EF0]
n4:mistoKonaniAkce
Paříž, Francie
n4:mistoVydani
Singapore
n4:nazevZdroje
The Twelfth Marcel Grossmann Meeting : On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
n4:obor
n17:BE
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:projekt
n9:LC06014 n9:GA202%2F09%2F0772
n4:rokUplatneniVysledku
n16:2012
n4:tvurceVysledku
Ledvinka, Tomáš
n4:typAkce
n5:WRD
n4:zahajeniAkce
2009-07-12+02:00
n4:zamer
n8:MSM0021620860
s:numberOfPages
3
n22:doi
10.1142/9789814374552_0053
n10:hasPublisher
World Scientific Publishing
n13:isbn
978-981-4374-51-4
n18:organizacniJednotka
11320