Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641383 | Journal of Computational and Applied Mathematics | 2010 | 8 Pages |
Abstract
A new nonconforming triangular element for the equations of planar linear elasticity with pure traction boundary conditions is considered. By virtue of construction of the element, the discrete version of Korn's second inequality is directly proved to be valid. Convergence rate of the finite element methods is uniformly optimal with respect to λ. Error estimates in the energy norm and L2-norm are O(h2) and O(h3), respectively.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yongqin Yang, Shaochun Chen,