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p_1非协调四边形元解stokes问题的多重网格算法

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Keywords: p1非协调四边形元,stokes问题,多重网格算法,稳定化方法

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Abstract:

研究了用p1-q0元(其中p1表示p1非协调四边形元)解stokes问题的多重网格算法.由于p1-q0元不满足lbb条件,因此其不能直接用来求解stokes问题.本文基于曾提出的一种p1-q0元解stokes问题的非协调混合有限元稳定化逼近方法,提出了w循环多重网格方法,证明了该方法的最优收敛性.最后给出的数值算例验证了该理论结果.

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