Conforming mixed triangular prism elements for the linear elasticity problem

Jun Hu, Rui Ma

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3 引用 (Scopus)

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
页(从-至)228-242
页数15
期刊International Journal of Numerical Analysis and Modeling
15
1
出版状态已出版 - 2018
已对外发布

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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.