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Application of Discrete Differential Formsin numerical General Relativity

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart  and
R. Richter
R. Richter*
Affiliation:
Universität Tübingen, Mathematisches Institut, Auf der Morgenstelle 10, 72076 Tübingen, Germany
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Abstract

Applications of Discrete Differential Forms in numerical GR aredescribed. The motivation to use this finite element method isits manifest coordinate independence. It is discussed how numericalschemes based on this method were developed and results ofsimulations for spherically symmetric vacuum space-times are presented.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles, ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 219 - 222
Copyright
© EAS, EDP Sciences, 2008

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References

Bossavit, A., 1988, Mixed finite elements and the complex of Whitney forms. In The Mathematics of Finite Elements and Applications VI, ed. Whiteman, J. (London: Academic Press) 137–144
Cartan, É., 2001, Riemannian Geometry in an Orthogonal Frame. Lectures delivered by E. Cartan at the Sorbonne (Singapore: World Scientific) 1926–27
Frauendiener, J., 2006, Class. Quant. Grav., 23, S369–S385 CrossRef
Nédélec, J.C., 1980, Numer. Math., 35, 315–341 CrossRef
Richter, R., Frauendiener, J., & Vogel, M., 2007, Class. Quant. Grav., 24, 433 CrossRef
Sparling, G., 2001, Twistors, spinors and the Einstein equations. In Further advances in twistor theory III: Curved twistor spaces, ed. Mason, L.J., Hughston, L.P., Kobak, P.Z., Pulverer, K. (Boca Raton: Chapman and Hall) 179–187