Approximation Algorithms for Complex Systems - Proceedings of the 6th International Conference on Algorithms for Approximation, Ambleside, UK, 31st August - 4th September 2009
Approximation Algorithms for Complex Systems - Proceedings of the 6th International Conference on Algorithms for Approximation, Ambleside, UK, 31st August - 4th September 2009
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复杂系统的近似算法 - 第六届国际近似算法会议论文集，英国安布尔塞德，2009 年 8 月 31 日至 9 月 4 日
DOI：
10.1007/978-3-642-16876-5_11
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Li B
中科院分区：
文献类型：
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作者：
Li B
本文提出了一种计算威尔斯井资料近似值的迭代算法，它是用二维拉格朗日函数与一维线性插值的张量积增广三维范数函数。这种增长可以被认为是一种趋势。该算法避免了在不同方向上具有非常不同的分离度的数据的稳定性问题。在这种情况下，数据在每个井内部的垂直方向上是接近的，但是威尔斯相对远离。我们将根据垂直点间距和水平井间距给出算法收敛速度的估计。
We present an iterative algorithm for computing an approximation to data in wells using the norm function in three dimensions augmented with a tensor product of two dimensional Lagrange functions with one dimensional linear inter- polants. This augmentation can be thought of as a trend. The algorithm avoids the stability problems associated with data which have very different separation in dif- ferent directions. In this case, data are close in the vertical direction inside each well, but the wells are relatively far apart. We will give an estimate of the convergence rate of the algorithm in terms of the vertical point spacing and the horizontal well separation.