Constraint-Preserving Boundary Conditions for the Linearized Baumgarte-Shapiro-Shibata-Nakamura Formulation
Author
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-05-26
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We derive two sets of explicit homogeneous algebraic constraint-preserving boundary conditions for the second-order in time reduction of the linearized Baumgarte-Shapiro-Shibata-Nakamura (BSSN) system.
Our second-order reduction involves components of the linearized extrinsic curvature only.
An initial-boundary value problem for the original linearized BSSN system is formulated and the existence of the solution is proved using the properties of the reduced system.
A treatment is proposed for the full nonlinear BSSN system to construct constraint-preserving boundary conditions without invoking the second order in time reduction.
Energy estimates on the principal part of the BSSN system (which is first order in temporal and second order in spatial derivatives) are obtained.
Generalizations to the case of nonhomogeneous boundary data are proposed.
American Psychological Association (APA)
Alekseenko, Alexander M.. 2008. Constraint-Preserving Boundary Conditions for the Linearized Baumgarte-Shapiro-Shibata-Nakamura Formulation. Abstract and Applied Analysis،Vol. 2008, no. 2008, pp.1-21.
https://search.emarefa.net/detail/BIM-495110
Modern Language Association (MLA)
Alekseenko, Alexander M.. Constraint-Preserving Boundary Conditions for the Linearized Baumgarte-Shapiro-Shibata-Nakamura Formulation. Abstract and Applied Analysis No. 2008 (2008), pp.1-21.
https://search.emarefa.net/detail/BIM-495110
American Medical Association (AMA)
Alekseenko, Alexander M.. Constraint-Preserving Boundary Conditions for the Linearized Baumgarte-Shapiro-Shibata-Nakamura Formulation. Abstract and Applied Analysis. 2008. Vol. 2008, no. 2008, pp.1-21.
https://search.emarefa.net/detail/BIM-495110
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495110