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Problems which are well posed in a generalized sense with applications to the Einstein equations
KTH, School of Computer Science and Communication (CSC), Numerical Analysis and Computer Science, NADA.
2006 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 23, no 16, S405-S420 p.Article in journal (Refereed) Published
Abstract [en]

In the harmonic description of general relativity, the principal part of the Einstein equations reduces to a constrained system of ten curved space wave equations for the components of the spacetime metric. We use the pseudo-differential theory of systems which are strongly well posed in the generalized sense to establish the well posedness of constraint-preserving boundary conditions for this system when treated in a second-order differential form. The boundary conditions are of a generalized Sommerfeld type that is benevolent for numerical calculation.

Place, publisher, year, edition, pages
2006. Vol. 23, no 16, S405-S420 p.
Keyword [en]
Boundary Value-Problems, Numerical Relativity, Field-Equations, Mixed Problems, Systems
National Category
Astronomy, Astrophysics and Cosmology
URN: urn:nbn:se:kth:diva-41434DOI: 10.1088/0264-9381/23/16/S07ISI: 000239417100008ScopusID: 2-s2.0-33746592952OAI: diva2:443895

QC 20110927. Conference: Conference on New Directions in Numerical Relativity. Southampton Univ, Southampton, ENGLAND. AUG 18-19, 2005

Available from: 2011-09-27 Created: 2011-09-27 Last updated: 2013-04-10Bibliographically approved

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Kreiss, Heinz-Otto
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