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Quantum Physics Commons

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2014

Maria Babiuc-Hamilton

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Constraint-Preserving Sommerfeld Conditions For The Harmonic Einstein Equations, Maria Babiuc-Hamilton, H-O. Kreiss, Jeffrey Winicour Feb 2014

Constraint-Preserving Sommerfeld Conditions For The Harmonic Einstein Equations, Maria Babiuc-Hamilton, H-O. Kreiss, Jeffrey Winicour

Maria Babiuc-Hamilton

The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 10 curved space wave equations for the components of the space-time metric. A new formulation of constraint-preserving boundary conditions of the Sommerfeld-type for such systems has recently been proposed. We implement these boundary conditions in a nonlinear 3D evolution code and test their accuracy.