Boundary conditions in linearized harmonic gravity
Boundary conditions in linearized harmonic gravity
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线性简谐引力的边界条件
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
J. Winicour
中科院分区：
文献类型：
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作者：
B. Szilágyi;B. Schmidt;J. Winicour
本文研究了调和坐标系中线性化引力理论的初边值问题。严格的双曲系统的技术被应用到建立适定性的各种减少系统成一组六个波动方程。结果被用来制定计算算法的柯西发展在一个3维有界域。基于这些算法的数值代码满足对违反随机约束的初始数据和随机边界数据的鲁棒稳定性测试;并对典型物理数据的演化具有优异的性能。结果得到的平面边界，以及分段立方球面边界切出的笛卡尔网格。
We investigate the initial-boundary value problem for linearized gravitational theory in harmonic coordinates. Rigorous techniques for hyperbolic systems are applied to establish well-posedness for various reductions of the system into a set of six wave equations. The results are used to formulate computational algorithms for Cauchy evolution in a 3-dimensional bounded domain. Numerical codes based upon these algorithms are shown to satisfy tests of robust stability for random constraint violating initial data and random boundary data; and shown to give excellent performance for the evolution of typical physical data. The results are obtained for plane boundaries as well as piecewise cubic spherical boundaries cut out of a Cartesian grid.