SPACE-TIME FINITE-ELEMENT METHODS FOR ELASTODYNAMICS - FORMULATIONS AND ERROR-ESTIMATES
SPACE-TIME FINITE-ELEMENT METHODS FOR ELASTODYNAMICS - FORMULATIONS AND ERROR-ESTIMATES
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DOI：
10.1016/0045-7825(88)90006-0
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发表时间：
1988-02-01
影响因子：
7.2
通讯作者：
HULBERT, GM
中科院分区：
文献类型：
--
作者：
HUGHES, TJR;HULBERT, GM
发展了适用于经典弹性动力学的时空有限元方法。该方法在时间上采用了间断Galerkin方法，并加入了最小二乘型的稳定项。这使得一般收敛定理可以用比能量范数更强的范数来证明。对于位移和速度内插的任意组合，预测并用数值证实了最佳误差估计。所发展的方法很容易推广到结构动力学和一大类二阶双曲型问题。
Space-time finite element methods are developed for classical elastodynamics. The approach employs the discontinuous Galerkin method in time and incorporates stabilizing terms of least-squares type. These enable a general convergence theorem to be proved in a norm stronger than the energy norm. Optimal error estimates are predicted, and confirmed numerically, for arbitrary combinations of displacement and velocity interpolations. The procedures developed are easily generalized to structural dynamics and a wide class of second-order hyperbolic problems.