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A finite element method with discontinuous rotations for the Mindlin-Reissner plate model

机译:Mindlin-Reissner平板模型的具有不连续旋转的有限元方法

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摘要

We present a continuous-discontinuous finite element method for the Mindlin-Reissner plate model based on continuous polynomials of degree k > 2 for the transverse displacements and discontinuous polynomials of degree fc - 1 for the rotations. We prove a priori convergence estimates, uniformly in the thickness of the plate, and thus show that locking is avoided. We also derive a posteriori error estimates based on duality, together with corresponding adaptive procedures for controlling linear function-als of the error. Finally, we present some numerical results.
机译:我们针对Mindlin-Reissner平板模型,基于横向位移的k> 2连续多项式和旋转的fc-1的不连续多项式,给出了Mindlin-Reissner板模型的连续不连续有限元方法。我们证明了先验收敛估计,均匀地在板的厚度上,因此表明避免了锁定。我们还导出了基于对偶性的后验误差估计,以及用于控制误差线性函数的相应自适应过程。最后,我们给出一些数值结果。

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