连续时间Galerkin方法解非线性椭圆-抛物型问题的误差估计

Prior error estimates for continuous-time Galerkin methods applied to nonlinear elliptic-parabolic problems

讨论了解非线性椭圆－抛物型问题的连续时间Ｇａｌｅｒｋｉｎ方法及误差估计。在某些假定下，获得了最优 Ｌ２（Ｈ１）先验误差估计及其它一些结论。

In his paper, prior error estimates for continuous-time Galerkin methods applied to nonlinear elliptic-parabolic problems are discussed. Optimal L2(H1) error estimates and other conclusions are obtained under certain conditions.