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The least‐squares finite element method in elasticity. Part II: Bending of thin plates
Authors:Bo‐nan Jiang
Abstract:A least‐squares finite element method (LSFEM) for bending problems of thin plates is developed. This LSFEM is based on the first‐order deflection‐slope‐moment‐shear force formulation. Four compatibility conditions are added into the first‐order system; thus, the method can accommodate all kinds of equal‐order interpolations. Numerical experiments on various examples show that the method achieves an optimal rate of convergence for all eight variables. Copyright © 2002 John Wiley & Sons, Ltd.
Keywords:plate  bending  least squares  finite element
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