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中文摘要：
文提出了非定常的热传导一对流方程的一种Petrov最小二乘混合有限元法．Petrov最小二乘混合有限元法可以回避Babugka-Brezzi条件的约束，使得有限元空间可以自由地选择并获得最优阶的误差估计．
英文摘要：
In this work, a Petrov least squares mixed finite element （PLSMFE） method for the non-stationary conduction convection problems is derived. The PLSMFE method could circumvent the constraint of Babuska-Brezzi condition so that the combination of finite eleme＇nt subspaces could be chosen freely and optimal order error estimates are obtained.
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