中文摘要：

讨论了用变分伴随方法求解一类二维非线性抛物型方程反问题,利用正则化思想改造最小二乘方法,利用变分伴随思想构造迭代算法,理论分析与数值模拟显示用变分伴随方法求解此类反问题是有效可行的。

英文摘要：

This paper discusses a class of inverse problems for two-dimensional nonlinear parabolic equations by means of the variational adjoint method. The paper improves the least squared method （LSM） by means of the idea of regularization, gives the iteration algorithm by means of variationaladjoint method. The algorithm＇s efficiency and feasibility are tested by theoretical analysis and numerical simulation.