Displaying similar documents to “Constraint-preserving boundary conditions for the linearized Baumgarte-Shapiro-Shibata-Nakamura formulation.”

Divergence boundary conditions for vector Helmholtz equations with divergence constraints

Urve Kangro, Roy Nicolaides (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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The idea of replacing a divergence constraint by a divergence boundary condition is investigated. The connections between the formulations are considered in detail. It is shown that the most common methods of using divergence boundary conditions do not always work properly. Necessary and sufficient conditions for the equivalence of the formulations are given.

Regional boundary observability: a numerical approach

El Hassane Zerrik, Hamid Bourray, Ali Boutoulout (2002)

International Journal of Applied Mathematics and Computer Science

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In this paper we review the concept of regional boundary observability, developed in (Michelitti, 1976), by means of sensor structures. This leads to the so-called boundary strategic sensors. A characterization of such sensors which guarantees regional boundary observability is given. The results obtained are applied to a two-dimensional system, and various cases of sensors are considered. We also describe an approach which leads to the estimation of the initial boundary state, which...

Well Posedness of Balance Laws with Non-Characteristic Boundary

Rinaldo M. Colombo, Massimiliano D. Rosini (2007)

Bollettino dell'Unione Matematica Italiana

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This note presents a well posedness result for the initial-boundary value problem consisting of a nonlinear system of hyperbolic balance laws with boundary, in the non-characteristic case.

Solutions of the constraint equations in general relativity satisfying "hyperboloidal boundary conditions"

Andersson Lars, Chruściel Piotr T.

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Abstract We prove existence of the solutions of the constraint equations satisfying "hyperboloidal boundary conditions" using the Choquet-Bruhat-Lichnerowicz-York conformal method and we analyze in detail their differentiability near the conformal boundary. We show that generic "hyperboloidal initial data" display asymptotic behaviour which is not compatible with Penrose's hypothesis of smoothness of ℐ. We also show that a large class of "non-generic" initial data...