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

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