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A family of cylindrical elements

机译：圆柱元素族

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This paper is devoted to develop several cylindrical elements. The findings are used to solve Laplace's equation numerically. It is sometimes required to solve this equation in the cylindrical coordinates. To take advantage from these situations, the suggested formulations are defined in a proper domain. Under this circumstance, it is superior that elements' geometry is exactly modeled in the cylindrical coordinates. Consequently, no numerical integration scheme is required for performing these kinds of finite element procedure. In comparison to the classical finite element approach, the proposed formulas are able to solve the corresponding problem more accurately. To corroborate the robustness and efficiency of the suggested elements, several numerical samples are analyzed. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
机译：本文致力于开发几种圆柱元件。这些发现用于数值求解拉普拉斯方程。有时需要在圆柱坐标系中求解此方程。为了利用这些情况，建议的配方在适当的范围内定义。在这种情况下，最好在圆柱坐标系中精确建模元素的几何形状。因此，执行这些有限元程序不需要数值积分方案。与经典的有限元方法相比，所提出的公式能够更准确地解决相应的问题。为了证实所建议元素的鲁棒性和效率，对几个数值样本进行了分析。 （C）2019国际模拟数学与计算机协会（IMACS）。由Elsevier B.V.发布。保留所有权利。

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