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.
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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