New mixed finite elements for plane elasticity and Stokes equations

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：stonecxx

【摘要】

：

我们考虑为飞机弹性系统和 Stokes 方程混合了有限元素。为压力和排水量地是主要 unknowns 的在弹性的未修改的 Hellinger-Reissner 明确的表达，我们导出三角的混合有限元素打

【作者】

：

XIE XiaoPing XU JinChao

【机构】

：

SchoolofMathematics,DepartmentofMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

2011年7期

【关键词】

：

STOKES方程混合有限元平面弹性分段多项式有限元空间有限元素速度梯度弹性系统 mixed finite element nonconformin

【基金项目】

：

supported in part by National Natural Science Foundation of China （GrantNo. 10771150）, the National Basic Research Program of China （Grant No. 2005CB321701）, the program for New Century Excellent Tale

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我们考虑为飞机弹性系统和 Stokes 方程混合了有限元素。为压力和排水量地是主要 unknowns 的在弹性的未修改的 Hellinger-Reissner 明确的表达，我们导出三角的混合有限元素打的二新 nonconforming。两元素使用 piecewise 接近的僵硬运动排水量和 piecewise 多项式工作接近压力，在自由的顶点度都没被包含的地方。二强调有限元素空格由 piecewise 分别地组成二次的多项式和 piecewise 立方的多项式以便每个空格的分叉限制了为一个单身者单一在相应

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