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SEMI-DISCRETE AND FULLY DISCRETE PARTIALPROJECTION FINITE ELEMENT METHODS FOR THEVIBRATING TIMOSHENKO BEAM 被引量:6

SEMI-DISCRETE AND FULLY DISCRETE PARTIALPROJECTION FINITE ELEMENT METHODS FOR THEVIBRATING TIMOSHENKO BEAM
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摘要 In this paper, the partial projection finite element method is applied to the time-dependent problem-the damped vibrating Timoshenko beam model. It is proved that this method allows some new combinations of interpolations for stress and displacement fields. When assuming that a smooth solution exists, we obtain optimal convergence rates with constants independent of the beam thickness. (Author abstract) 15 Refs. In this paper, the partial projection finite element method is applied to the time-dependent problem-the damped vibrating Timoshenko beam model. It is proved that this method allows some new combinations of interpolations for stress and displacement fields. When assuming that a smooth solution exists, we obtain optimal convergence rates with constants independent of the beam thickness. (Author abstract) 15 Refs.
出处 《Journal of Computational Mathematics》 SCIE EI CSCD 1999年第4期353-368,共16页 计算数学(英文)
关键词 Timoshenko beam finite element Timoshenko beam finite element
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