A Caltech Library Service

Controlling the growth of constraints in hyperbolic evolution systems

Lindblom, Lee and Scheel, Mark A. and Kidder, Lawrence E. and Pfeiffer, Harald P. and Shoemaker, Deirdre and Teukolsky, Saul A. (2004) Controlling the growth of constraints in hyperbolic evolution systems. Physical Review D, 69 (12). Art. No. 124025. ISSN 2470-0010. doi:10.1103/PhysRevD.69.124025.

PDF - Published Version
See Usage Policy.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


Motivated by the need to control the exponential growth of constraint violations in numerical solutions of the Einstein evolution equations, two methods are studied here for controlling this growth in general hyperbolic evolution systems. The first method adjusts the evolution equations dynamically, by adding multiples of the constraints, in a way designed to minimize this growth. The second method imposes special constraint preserving boundary conditions on the incoming components of the dynamical fields. The efficacy of these methods is tested by using them to control the growth of constraints in fully dynamical 3D numerical solutions of a particular representation of the Maxwell equations that is subject to constraint violations. The constraint preserving boundary conditions are found to be much more effective than active constraint control in the case of this Maxwell system.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Kidder, Lawrence E.0000-0001-5392-7342
Pfeiffer, Harald P.0000-0001-9288-519X
Teukolsky, Saul A.0000-0001-9765-4526
Additional Information:© 2004 The American Physical Society. Received 4 February 2004; published 28 June 2004. We thank Michael Holst, Oscar Reula, Olivier Sarbach, and Manuel Tiglio for helpful discussions concerning this work. This work was supported in part by NSF grants PHY-0099568 and PHY-0244906 and NASA grants NAG5-10707 and NAG5-12834 at Caltech, and NSF grants PHY-9900672 and PHY-0312072 at Cornell.
Funding AgencyGrant Number
Subject Keywords:Einstein field equations; Maxwell equations; hyperbolic equations
Issue or Number:12
Classification Code:PACS numbers: 04.25.Dm, 02.60.Cb, 02.60.Lj, 04.20.Cv
Record Number:CaltechAUTHORS:LINprd04
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1980
Deposited By: Tony Diaz
Deposited On:28 Feb 2006
Last Modified:08 Nov 2021 19:44

Repository Staff Only: item control page