A dual interpolation boundary face method with Hermite-type approximation for potential problems
A dual interpolation boundary face method with Hermite-type approximation for potential problems
复制标题
解决潜在问题的 Hermite 型近似对偶插值边界面方法
DOI：
10.1016/j.apm.2020.01.010
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发表时间：
2020-05
影响因子：
5
通讯作者：
Lin Weicheng
中科院分区：
文献类型：
--
作者：
Zhang Jianming;He Rui;Chi Baotao;Lin Weicheng
This paper presents the dual interpolation boundary face method combined with a Hermite-type moving-least-squares approximation for solving complex two-dimensional potential problems. Compared to the standard algorithms, this combined method is better suited for structures with small feature sizes such as short edges and small chamfers. The interpolation functions, if constructed in cyclic coordinates, making it difficult to apply this new method to deal with complex structures with small feature sizes in which only one source point is assigned. The Hermite-type approximation formulated in Cartesian coordinates is able to completely overcome this obstacle by searching for source points on adjacent edges. Additionally, an improved and incomplete quadratic polynomial basis is presented to obtain an accurate algorithm for the Hermite-type approximation. We use several numerical examples to demonstrate the high accuracy and efficiency of the proposed method for solving various engineering structures with small feature sizes.
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DOI：
10.1016/j.amc.2011.07.039
发表时间：
2011-11
期刊：
Appl. Math. Comput.
影响因子：
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影响因子：
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发表时间：
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影响因子：
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DOI：
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发表时间：
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影响因子：
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