Genera1 complete Lagrange family for the cube in finite element interpolations

H.T. Rathod; Sridevi Kilari

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Genera1 complete Lagrange family for the cube in finite element interpolations

机译：有限元插值的立方体的Genera1完整Lagrange族

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In this paper, we have first derived the interpolation polynomials for the General Serendipity elements which allow arbitrarily placed nodes along the edges. We have then presented a method to determine the interpolation functions for the General Complete Lagrange elements which allow arbitrarily placed nodes. Explicit expressions for interpolation functions of the Serendipity and Complete Lagrange family elements which allow uniform spacing of nodes over the element domain are derived for elements of orders 4-l0. We have also modified the Shape functions of Complete Lagrange family so that they can correctly interpolate the complete polynomial in the global space for angular distortions.

机译：在本文中，我们首先导出了“通用性”元素的插值多项式，该插值多项式允许沿边缘任意放置节点。然后，我们提出了一种方法，用于确定允许任意放置节点的General Complete Lagrange元素的插值函数。对于阶数为4-l0的元素，导出了Serendipity和Complete Lagrange族元素的插值函数的显式表达式，这些表达式允许在元素域上均匀分布节点。我们还修改了Complete Lagrange系列的Shape函数，以便它们可以在全局空间中正确插值完整多项式以防止角度失真。

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《Computer Methods in Applied Mechanics and Engineering》 |2000年第3期|295-344|共50页
作者
H.T. Rathod; Sridevi Kilari;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
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2. Explicit bound for quadratic Lagrange interpolation constant on triangular finite elements [J] . Liu Xuefeng, You Chunguang Applied mathematics and computation . 2018,第期

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3. Optimal bounds for a Lagrange interpolation inequality for piecewise linear continuous finite elements in two space dimensions [J] . Muhamadiev Ergash, Nazarov Murtazo Journal of Mathematical Analysis and Applications . 2015,第2期

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4. A New Method of Progressive Images Transmission Based on Lagrange Interpolation Polynomials over Finite Fields [C] . Asia-Pacific Conference on Information Processing . 2009

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5. FINITE ELEMENT ANALYSIS OF TRANSIENT CONTACT (ROLLING, LAGRANGE MULTIPLIER, PENALTY METHOD, RIDE COMFORT, TIRE VIBRATION). [D] . NAKAJIMA, YUKIO. 1986

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7. General complete Lagrange family for the cube in finite element interpolations [O] . Rathod H.T., Kilari Sridevi . 2000

机译：有限元插值中立方体的一般完全拉格朗日族
8. Higher Order Lagrange Finite Elements in M3D [R] . Chen, J., Strauss, H. R., Jardin, S. C., 2004

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Genera1 complete Lagrange family for the cube in finite element interpolations

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