An analysis of thep-version of the finite element method for nearly incompressible materials
An analysis of thep-version of the finite element method for nearly incompressible materials
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DOI：
10.1007/bf01396304
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发表时间：
1983-02
影响因子：
2.1
通讯作者：
M. Vogelius
中科院分区：
文献类型：
--
作者：
M. Vogelius
本文分析了平面应变线弹性力学方程的p型有限元法的性质。我们建立最优率误差估计，是一致有效的，独立的泊松比，v的值，在区间]0，1/2[。这表明p-版本不包含退化现象，退化现象导致了对更标准的有限元格式和几乎不可压缩材料的情况使用各种各样的、仅部分合理的约化积分或混合公式的技术。
In this paper we analyze the behavior of the so-calledp-version of the finite element method when applied to the equations of plane strain linear elasticity. We establish optimal rate error estimates that are uniformly valid, independent of the value of the Poisson ratio,v, in the interval ]0, 1/2[. This shows that thep-versiondoes notexhibit the degeneracy phenomenon which has led to the use of various, only partially justified techniques of reduced integration or mixed formulations for more standard finite element schemes and the case of a nearly incompressible material.