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.
Original language | English |
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Pages (from-to) | 228-242 |
Number of pages | 15 |
Journal | International Journal of Numerical Analysis and Modeling |
Volume | 15 |
Issue number | 1 |
Publication status | Published - 2018 |
Externally published | Yes |
Keywords
- Linear elasticity
- Mixed finite element
- Triangular prism element