Least squares methods for solving partial differential equations by using Bézier control points
Least squares methods for solving partial differential equations by using Bézier control points
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DOI：
10.1016/j.amc.2012.09.063
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发表时间：
2012-12
期刊：
影响因子：
--
通讯作者：
Jinming Wu
中科院分区：
文献类型：
--
作者：
Jinming Wu
利用Bézier控制点讨论了求解任意多边形域上偏微分方程组的最小二乘法。它使用具有Ck连续性的n次三角Bézier曲面片来逼近偏微分方程组的精确解。数值算例表明，该方法具有较强的灵活性。
We discuss the least squares methods for solving partial differential equations on arbitrary polygon domain by using Bézier control points. It uses triangular Bézier patches of degree n with Ckcontinuity to approximate the exact solution of partial differential equations. Numerical examples are provided to illustrate the proposed method is flexible.