Convergence and stability in numerical relativity

Details Convergence and stability in numerical relativity Convergence and stability in numerical relativity

2002-07-02

arxiv.org/abs/gr-qc/0207018v1

Phys.Rev. D66 (2002) 041501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, RevTex, 4 figures

Scientific paper

10.1103/PhysRevD.66.041501

It is often the case in numerical relativity that schemes that are known to be convergent for well posed systems are used in evolutions of weakly hyperbolic (WH) formulations of Einstein's equations. Here we explicitly show that with several of the discretizations that have been used through out the years, this procedure leads to non-convergent schemes. That is, arbitrarily small initial errors are amplified without bound when resolution is increased, independently of the amount of numerical dissipation introduced. The lack of convergence introduced by this instability can be particularly subtle, in the sense that it can be missed by several convergence tests, especially in 3+1 dimensional codes. We propose tests and methods to analyze convergence that may help detect these situations.

Affiliated with

Also associated with

No associations

Rating

Convergence and stability in numerical relativity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Convergence and stability in numerical relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence and stability in numerical relativity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-632555