Summation by parts and dissipation for domains with excised regions

被引：55

作者：

Calabrese, G

Lehner, L

Reula, O

Sarbach, O

Tiglio, M

机构：

[1] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA

[2] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England

[3] Natl Univ Cordoba, FAMAF, RA-5000 Cordoba, Argentina

[4] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

[5] Cornell Univ, Ctr Radiophys & Space Res, Ithaca, NY 14853 USA

来源：

CLASSICAL AND QUANTUM GRAVITY | 2004年 / 21卷 / 24期

关键词：

D O I：

10.1088/0264-9381/21/24/004

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We discuss finite difference techniques for hyperbolic equations in non-trivial domains, as those that arise when simulating black-hole spacetimes. In particular, we construct dissipative and difference operators that satisfy the summation by parts property in domains with excised multiple cubic regions. This property can be used to derive semi-discrete energy estimates for the associated initial-boundary value problem which in turn can be used to prove numerical stability.

引用

页码：5735 / 5757

页数：23

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