Linear finite element methods for planar linear elasticity
Document Type
Article
Publication Date
1-1-1992
Abstract
A linear nonconforming (conforming) displacement finite element method for the pure displacement (pure traction) problem in two-dimensional linear elasticity for a homogeneous isotropic elastic material is considered. In the case of a convex polygonal configuration domain, O (h) (O(h )) error estimates in the energy (L ) norm are obtained. The convergence rate does not deteriorate for nearly incompressible material. Furthermore, the convergence analysis does not rely on the theory of saddle point problems. © 1992 American Mathematical Society. 2 2
Publication Source (Journal or Book title)
Mathematics of Computation
First Page
321
Last Page
338
Recommended Citation
Brenner, S., & Sung, L. (1992). Linear finite element methods for planar linear elasticity. Mathematics of Computation, 59 (200), 321-338. https://doi.org/10.1090/S0025-5718-1992-1140646-2
