Generating Initial Data in General Relativity using Adaptive Finite Element Methods

Abstract

The conformal formulation of the Einstein constraint equations is first reviewed, and we then consider the design, analysis, and implementation of adaptive multilevel finite element-type numerical methods for the resulting coupled nonlinear elliptic system. We derive weak formulations of the coupled constraints, and review some new developments in the… (More)

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Cite this paper

@inproceedings{Aksoylu2008GeneratingID, title={Generating Initial Data in General Relativity using Adaptive Finite Element Methods}, author={Burak Aksoylu and D. Bernstein and Sharon Bond and Mikael Holst}, year={2008} }