Illustrating stability properties of numerical relativity in electrodynamics

被引：24

作者：

Knapp, A ^{[1
]}

Walker, EJ

Baumgarte, TW

机构：

[1] Bowdoin Coll, Dept Phys & Astron, Brunswick, ME 04011 USA

[2] Univ Illinois, Dept Phys, Urbana, IL 61801 USA

来源：

PHYSICAL REVIEW D | 2002年 / 65卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.65.064031

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that a reformulation of the Arnowitt-Deser-Misner equations in general relativity, which has dramatically improved the stability properties of numerical implementations, has a direct analogue in classical electrodynamics. We numerically integrate both the original and the revised versions of Maxwell's equations, and show that their distinct numerical behavior reflects the properties found in linearized general relativity. Our results shed further light on the stability properties of general relativity, illustrate them in a very transparent context, and may provide a useful framework for further improvement of numerical schemes.

引用

页数：5

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