Well-posed constraint-preserving boundary conditions for the AA formulation of Einstein's equations
type: Item
instance of: scholarly article
title: Well-posed constraint-preserving boundary conditions for the AA formulation of Einstein's equations
zbMATH Open document ID: 1169.35058
author: Nicolae Tarfulea
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-08-20T00:00:00Z
Mathematics Subject Classification ID: 35Q75
Mathematics Subject Classification ID: 83C05
zbMATH DE Number: 5597548
zbMATH Keywords: Einstein's equations
zbMATH Keywords: hyperbolic systems
zbMATH Keywords: boundary conditions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.06.044
OpenAlex ID: W2080216822
cites work: Geometrical hyperbolic systems for general relativity and gauge theories
cites work: Extended lifetime in computational evolution of isolated black holes
cites work: Fixing Einstein's Equations
cites work: Q3432476
cites work: Q5724559
cites work: Numerical integration of Einstein’s field equations
cites work: Hyperbolic evolution system for numerical relativity
cites work: Constraint-preserving boundary conditions in the Z4 numerical relativity formalism
cites work: Well posed constraint-preserving boundary conditions for the linearized Einstein equations
cites work: Non-homogeneous linear symmetric hyperbolic systems with characteristic boundary.
cites work: Critical collapse of the massless scalar field in axisymmetry
cites work: An axisymmetric gravitational collapse code
cites work: Global aspects of the Cauchy problem in general relativity
cites work: Hyperbolicity of the 3+1 system of Einstein equations
cites work: The initial boundary value problem for Einstein's vacuum field equation
cites work: Q2704742
cites work: Symmetric positive linear differential equations
cites work: Boundary conditions for hyperbolic formulations of the Einstein equations
cites work: Einstein boundary conditions for the \(3+1\) Einstein equations
cites work: Q4875410
cites work: Q4692703
cites work: Problems which are well posed in a generalized sense with applications to the Einstein equations
cites work: Local boundary conditions for dissipative symmetric linear differential operators
cites work: A new generalized harmonic evolution system
cites work: Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
cites work: A minimization problem for the lapse and the initial-boundary value problem for Einstein's field equations
cites work: Numerical relativity using a generalized harmonic decomposition
cites work: Simulation of binary black hole spacetimes with a harmonic evolution scheme
cites work: Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity
cites work: Hyperbolic methods for Einstein's equations
cites work: Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations
cites work: A strongly hyperbolic and regular reduction of Einstein's equations for axisymmetric spacetimes
cites work: BOUNDARY CONDITIONS FOR EINSTEIN'S FIELD EQUATIONS: MATHEMATICAL AND NUMERICAL ANALYSIS
cites work: The initial boundary value problem for linear symmetric hyperbolic systems with characteristic boundary of constant multiplicity
cites work: Well-posedness of characteristic symmetric hyperbolic systems
cites work: Q5717965
cites work: Evolution of three-dimensional gravitational waves: Harmonic slicing case
cites work: The Cauchy problem and the initial boundary value problem in numerical relativity
cites work: Well-posed initial-boundary evolution in general relativity
cites work: Q4193417
Wikidata QID: Q125952234
DOI: 10.1016/J.JMAA.2009.06.044
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description: scientific article; zbMATH DE number 5597548