| Title | CONFORMING MIXED TRIANGULAR PRISM ELEMENTS FOR THE LINEAR ELASTICITY PROBLEM |
| Authors | Hu, Jun Ma, Rui |
| Affiliation | Peking Univ, LMAM, Beijing 100871, Peoples R China. Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China. Peking Univ, LMAM, Beijing 100871, Peoples R China. Hu, J (reprint author), Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China. |
| Keywords | Mixed finite element triangular prism element linear elasticity FINITE-ELEMENT RECTANGULAR GRIDS SYMMETRIC TENSORS PLANE ELASTICITY FAMILY |
| Issue Date | 2018 |
| Publisher | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING |
| Citation | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING. 2018, 15(1-2), 228-242. |
| Abstract | We propose a family of conforming mixed triangular prism finite elements for solving the classical Hellinger-Reissner mixed problem of the linear elasticity equations in three dimensions. These elements are constructed by product of elements on triangular meshes and elements in one dimension. The well-posedness is established for all elements with k >= 1, which are of k + 1 order convergence for both the stress and displacement. Besides, a family of reduced stress spaces is proposed by dropping the degrees of polynomial functions associated with faces. As a result, the lowest order conforming mixed triangular prism element has 93 plus 33 degrees of freedom on each element. |
| URI | http://hdl.handle.net/20.500.11897/512859 |
| ISSN | 1705-5105 |
| Indexed | SCI(E) |
| Appears in Collections: | 数学及其应用教育部重点实验室 数学科学学院 |
