# Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations

@article{Seiler2008ConstraintpreservingBT, title={Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations}, author={J. Seiler and B. Szil{\'a}gyi and D. Pollney and L. Rezzolla}, journal={Classical and Quantum Gravity}, year={2008}, volume={25}, pages={175020} }

We present a set of well-posed constraint-preserving boundary conditions for a first-order in time, second-order in space, harmonic formulation of the Einstein equations. The boundary conditions are tested using robust stability, linear and nonlinear waves, and are found to be both less reflective and constraint preserving than standard Sommerfeld-type boundary conditions.

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 96 REFERENCES

Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates

- Physics
- 2007

34

Well Posed Constraint-Preserving Boundary Conditions for the Linearized Einstein Equations

- Mathematics, Physics
- 2003

78

Problems which are well posed in a generalized sense with applications to the Einstein equations

- Physics
- 2006

57

Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations

- Physics
- 2006

65

Boundary conditions for a divergence free velocity-pressure formulation of the Navier-Stokes equations

- Mathematics, Computer Science
- 2007

39