Numerical Evolution of axisymmetric vacuum spacetimes: a code based on the Galerkin method

Details Numerical Evolution of axisymmetric vacuum spacetimes: a code based on the Galerkin method Numerical Evolution of axisymmetric vacuum spacetimes: a code based on the Galerkin method

2008-09-17

arxiv.org/abs/0809.2837v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 6 figures. To appear in Classical and Quantum Gravity

Scientific paper

We present the first numerical code based on the Galerkin and Collocation methods to integrate the field equations of the Bondi problem. The Galerkin method like all spectral methods provide high accuracy with moderate computational effort. Several numerical tests were performed to verify the issues of convergence, stability and accuracy with promising results. This code opens up several possibilities of applications in more general scenarios for studying the evolution of spacetimes with gravitational waves.

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