Add to ORKGA recent mathematical technique for nonlinear hyperbolic systems, maximally dissipative boundary conditions, is applied to establish a simple, well-posed version of the general relativistic initial-boundary value problem in harmonic coordinates. The method is implemented as a nonlinear evolution algorithm which, in the weak field regime, is robustly stable. A linearized version has been stably matched to a characteristic code to compute the gravitational waveform radiated to infinity
Well-posedness of the initial (boundary) value problem is an essential property, both of meaningful ...
Abstract. We establish a variant of the symmetric quasi linear first or-der system given by H. Fried...
We present a set of well-posed constraint-preserving boundary conditions for a first-order in time, ...
The technique of maximally dissipative boundary conditions is applied to establish a simple, well-po...
Computational techniques which establish the stability of an evolution-boundary algorithm for a mode...
We investigate the initial-boundary value problem for linearized gravitational theory in harmonic co...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
In recent work, we used pseudo-differential theory to establish conditions that the initial-boundary...
This paper is concerned with the initial-boundary value problem for the Einstein equations in a firs...
We give a well posed initial value formulation of the Baumgarte-Shapiro-Shibata-Nakamura form of Ein...
We consider an approach to the hyperboloidal evolution problem based on the Einstein equations writt...
In this paper we address the problem of specifying boundary conditions for Einstein's equations when...
The hyperboloidal initial value problem is addressed in the context of Numerical Relativity, motivat...
The details are presented of a new evolution algorithm for the characteristic initial-boundary value...
I consider the initial-boundary-value-problem of nonlinear general relativistic vacuum spacetimes, w...
Well-posedness of the initial (boundary) value problem is an essential property, both of meaningful ...
Abstract. We establish a variant of the symmetric quasi linear first or-der system given by H. Fried...
We present a set of well-posed constraint-preserving boundary conditions for a first-order in time, ...
The technique of maximally dissipative boundary conditions is applied to establish a simple, well-po...
Computational techniques which establish the stability of an evolution-boundary algorithm for a mode...
We investigate the initial-boundary value problem for linearized gravitational theory in harmonic co...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
In recent work, we used pseudo-differential theory to establish conditions that the initial-boundary...
This paper is concerned with the initial-boundary value problem for the Einstein equations in a firs...
We give a well posed initial value formulation of the Baumgarte-Shapiro-Shibata-Nakamura form of Ein...
We consider an approach to the hyperboloidal evolution problem based on the Einstein equations writt...
In this paper we address the problem of specifying boundary conditions for Einstein's equations when...
The hyperboloidal initial value problem is addressed in the context of Numerical Relativity, motivat...
The details are presented of a new evolution algorithm for the characteristic initial-boundary value...
I consider the initial-boundary-value-problem of nonlinear general relativistic vacuum spacetimes, w...
Well-posedness of the initial (boundary) value problem is an essential property, both of meaningful ...
Abstract. We establish a variant of the symmetric quasi linear first or-der system given by H. Fried...
We present a set of well-posed constraint-preserving boundary conditions for a first-order in time, ...