Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626655 | Applied Mathematics and Computation | 2015 | 12 Pages |
Abstract
In this paper, we construct two simplest conforming rectangular elements for the linear elasticity problem under the Hellinger–Reissner variational principle. One is a rectangular element in 2D with only 8 degrees of freedom for the stress and 2 degrees of freedom for the displacement. Another one is a cubic element in 3D with only 18 + 3 degrees of freedom. We prove that the two elements are stable and anisotropic convergent. Numerical test is presented to illustrate the element is stable and effective.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shao-chun Chen, Yan-ping Sun, Ji-kun Zhao,