Primal finite element solution of second order problems in three-dimension space with normal stress/flux continuity

V. Ruas; J.H. Carneiro de Araujo

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Primal finite element solution of second order problems in three-dimension space with normal stress/flux continuity

机译：具有正应力/通量连续性的三维空间中二阶问题的原始有限元解

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摘要

A tetrahedral finite element method of the Hermite type for solving second order elliptic equations in three-dimension bounded domains is introduced. It is a sort of extension of the Morley triangle [3] but contrary to this element it provides converging approximations in this case. The new element is particularly useful in situations where flux continuity across interelement boundaries is required.

机译：介绍了一种Hermite型四面体有限元方法，用于求解三维有界域中的二阶椭圆方程。它是Morley三角形[3]的一种扩展，但与该元素相反，在这种情况下，它提供了收敛的近似值。在需要跨元素边界的通量连续性的情况下，新元素特别有用。

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |2007年第7期|共6页
作者
V. Ruas; J.H. Carneiro de Araujo;
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正文语种 eng
中图分类应用数学;
关键词
finite element; tetrahedron; Hermite; Morley triangle; second order equations;

机译：有限元;四面体;铁矿;莫雷三角形;二阶方程;

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专利

1. Primal finite element solution of second order problems in three-dimension space with normal stress/flux continuity [J] . V. Ruas, J.H. Carneiro de Araujo Zeitschrift fur Angewandte Mathematik und Mechanik . 2007,第7期

机译：具有正应力/通量连续性的三维空间中二阶问题的原始有限元解
2. Geometric finite element discretization of Maxwell equations in primal and dual spaces [J] . He B, Teixeira FL Physics Letters, A . 2006,第1a4期

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3. A three-dimension finite element analysis to evaluate the stress distribution in tooth supported 5-unit intermediate abutment prosthesis with rigid and nonrigid connector [J] . Ritesh Modi, Shivani Kohli, K. Rajeshwari, European Journal of Dentistry . 2015,第2期

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Primal finite element solution of second order problems in three-dimension space with normal stress/flux continuity

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