A NEW NONCONFORMING MIXED FINITE ELEMENT METHOD FOR LINEAR ELASTICITY
2006 ◽
Vol 16
(07)
◽
pp. 979-999
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Keyword(s):
We have developed new nonconforming mixed finite element methods for linear elasticity with a pure traction (displacement) boundary condition based on the Hellinger–Reissner variational principle using rectangular elements. Convergence analysis yields an optimal (suboptimal) convergence rate of [Formula: see text] for the L2-error of the stress and [Formula: see text] for the displacement in the pure traction (displacement) boundary problem. However, numerical experiments have yielded optimal-order convergence rates for both stress and displacement in both problems and have shown superconvergence for the displacement at the midpoint of each element. Moreover, we observed that the optimal convergence rates are still valid for large λ.
2022 ◽
Vol 402
◽
pp. 113783
1980 ◽
pp. 265-268
2019 ◽
Vol 53
(6)
◽
pp. 2081-2108
2006 ◽
Vol 40
(1)
◽
pp. 1-28
◽
2012 ◽
Vol 35
◽
pp. 163-171
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2004 ◽
Vol 21
(1)
◽
pp. 132-148
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