Dirichlet-to-Neumann 吸收边界条件的改进误差界
Improved Error Bounds for Dirichlet-to-Neumann Absorbing Boundaries
AI总结：
针对时变波动方程的辐射边界条件，提出改进的误差界，将误差从指数增长改进为多项式增长。
摘要：
长期以来，人们知道如何为时变波动方程构造辐射边界条件。尽管已有论证表明这些边界条件精确，但严格的误差界直到最近才被证明。先前的估计显示，这些方法引起的误差对于任意 gamma > 0 表现为 epsilon C exp(gamma t)。我们改进了这些结果，并证明误差表现为 epsilon t^2。
英文摘要：
It has long been known how to construct radiation boundary conditions for the time dependent wave equation. Although arguments suggesting that they are accurate have been given, it is only recently that rigorous error bounds have been proved. Previous estimates show that the error caused by these methods behaves like epsilon C exp(gamma t) for any gamma > 0. We improve these results and show that the error behaves like epsilon t^2.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
