Talk abstract details

For a valid treatment of numerical relativity simulations, well-posed and constraint preserving boundary conditions are required in order to guarantee stable and accurate solutions to the Einstein equations within any simulation domain. With penalty techniques and using difference operators that satisfy the summation by parts rule. We can derive semi-discrete energy estimates for systems with constraint preserving Sommmerfeld-type boundary conditions for a generalized harmonic scheme and prove numerical stability. With this we can present a scheme which should be well-posed and with boundaries that preserve the constraints for second order in space evolutions of black hole spacetimes in generalized harmonic coordinates.