Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-27T06:49:22.056Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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