Douglas N. Arnold, Nicolae Tarfulea
Abstract:
Specifying boundary conditions continues to be a challenge in numerical
relativity in order to obtain a long time convergent numerical simulation of
Einstein's equations in domains with artificial boundaries.
In this paper, we address this problem for the Einstein-Christoffel
(EC) symmetric hyperbolic formulation of Einstein's equations linearized
around flat spacetime. First, we prescribe simple boundary conditions
that make the problem well posed and preserve the constraints.
Next, we indicate boundary conditions for a system that extends the
linearized EC system by including the momentum constraints and whose
solution solves Einstein's equations in a bounded domain.
Published February 28, 2007.
Math Subject Classifications: 35Q75, 35L50, 83C99.
Key Words: General relativity; Einstein equations; boundary conditions.
Show me the PDF file (325K), TEX file, and other files for this article.
 |
Douglas N. Arnold Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota 55455, USA email: arnold@ima.umn.edu http://www.ima.umn.edu/~arnold |
|---|---|
 |
Nicolae Tarfulea Department of Mathematics, Purdue University Calumet Hammond, Indiana 46323, USA email: tarfulea@calumet.purdue.edu http://ems.calumet.purdue.edu/tarfulea |
Return to the table of contents
for this conference.
Return to the EJDE web page