Constraint-preserving boundary conditions for the linearized Baumgarte-Shapiro-Shibata-Nakamura formulation
type: Item
instance of: scholarly article
title: Constraint-preserving boundary conditions for the linearized Baumgarte-Shapiro-Shibata-Nakamura formulation
zbMATH Open document ID: 1148.83305
DOI: 10.1155/2008/742040
author: Alexander M. Alekseenko
published in: Abstract and Applied Analysis
publication date: 2008-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/54671
review text: Summary: 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.
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 83C25
zbMATH DE Number: 5313189
Wikidata QID: Q58644387
MaRDI profile type: Publication
OpenAlex ID: W2075024044
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description: scientific article; zbMATH DE number 5313189