本文讨论二维奇异非稳态问题的有限元方法，证明了弱解的存在唯一性，并给出有限元解的加权L2-模估计。
The existence and uniqueness of the solution to these problems with the use of FEM are proved and optimal error estimates in weighted L2-norm are given.
进一步，对相应有限元解进行误差分析，得到其最优l 2模估计，数值实验验证了理论结果的正确性。
Furthermore, the optimal error estimates in the norm L2 are derived. Finally, Numerical experiment verifies the theoretical results.
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