摘要
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.
源语言 | 英语 |
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页(从-至) | 228-242 |
页数 | 15 |
期刊 | International Journal of Numerical Analysis and Modeling |
卷 | 15 |
期 | 1 |
出版状态 | 已出版 - 2018 |
已对外发布 | 是 |
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Hu, J., & Ma, R. (2018). Conforming mixed triangular prism elements for the linear elasticity problem. International Journal of Numerical Analysis and Modeling, 15(1), 228-242.