Summation by parts and dissipation for domains with excised regions
Summation by parts and dissipation for domains with excised regions
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DOI：
10.1088/0264-9381/21/24/004
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发表时间：
2004-12-21
影响因子：
3.5
通讯作者：
Tiglio, M
中科院分区：
文献类型：
--
作者：
Calabrese, G;Lehner, L;Tiglio, M
我们讨论了非平凡域中的双曲方程的有限差分技术，因为那些模拟黑洞时空时出现的。特别是，我们构造耗散和差分算子，满足部分求和的属性与切除多立方区域的域。这个属性可以用来获得半离散的能量估计的相关的初边值问题，这反过来又可以用来证明数值稳定性。
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.