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
复制标题
轴对称真空时空的数值演化：基于伽辽金方法的代码
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
E. Rodrigues
中科院分区：
文献类型：
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作者：
H. de Oliveira;E. Rodrigues
我们给出了第一个基于Galerkin和配置法的数值代码来积分Bondi问题的场方程。与所有谱方法一样，Galerkin方法以适中的计算量提供了高精度。对收敛、稳定性和精度问题进行了多次数值试验，取得了令人满意的结果。这段代码为研究引力波时空演化的更一般场景开辟了几种可能性。
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 provides 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.