A Simple Conforming Mixed Finite Element for Linear Elasticity on Rectangular Grids in Any Space Dimension | |
Hu, Jun ; Man, Hongying ; Zhang, Shangyou | |
2014 | |
关键词 | Mixed finite element Symmetric finite element Linear elasticity Conforming finite element Rectangular grids Inf-sup condition WEAK STRESS SYMMETRY PLANE ELASTICITY FAMILY APPROXIMATION FEM |
英文摘要 | We construct a family of lower-order rectangular conforming mixed finite elements, in any space dimension. In the method, the normal stress is approximated by quadratic polynomials , the shear stress by bilinear polynomials , and the displacement by linear polynomials . The number of total degrees of freedom (dof) per element is 10 plus 4 in 2D, and 21 plus 6 in 3D, while the previous record of least dof for conforming element is 17 plus 4 in 2D, and 72 plus 12 in 3D. The feature of this family of elements is, besides simplicity, that shape function spaces for both stress and displacement are independent of the spatial dimension . As a result of these choices, the theoretical analysis is independent of the spatial dimension as well. The well-posedness condition and the optimal a priori error estimate are proved. Numerical tests show the stability and effectiveness of these new elements.; Mathematics, Applied; SCI(E); EI; 5; ARTICLE; hujun@math.pku.edu.cn; manhy@bit.edu.cn; szhang@udel.edu; 2; 367-379; 58 |
语种 | 英语 |
出处 | EI ; SCI |
出版者 | journal of scientific computing |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157425] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Hu, Jun,Man, Hongying,Zhang, Shangyou. A Simple Conforming Mixed Finite Element for Linear Elasticity on Rectangular Grids in Any Space Dimension. 2014-01-01. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论