Linear finite element methods for planar linear elasticity
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- by Susanne C. Brenner and Li-Yeng Sung PDF
- Math. Comp. 59 (1992), 321-338 Request permission
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, $\mathcal {O}(h)\;(\mathcal {O}({h^2}))$ error estimates in the energy $({L^2})$ 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.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Math. Comp. 59 (1992), 321-338
- MSC: Primary 73V05; Secondary 65N12, 65N30
- DOI: https://doi.org/10.1090/S0025-5718-1992-1140646-2
- MathSciNet review: 1140646