一类半线性抛物型方程的协调有限元法

Conforming Finite Element Method for a Type of Semi-linear Parabolic Equations

主要讨论了一类二阶半线性抛物型方程,研究它在半离散下的Galerkin协调有限元法,借用Riesz投影的性质和其他一些新的估算方法,最后得到了真解和近似解之间在L2范数下的误差估计.

A type of second-order semi-linear parabolic equation was discussed. The Galerkin finite element methods under the semi-discrete situation for the discussed problem were researched. By means of the Riesz projection and other new methods for calculation and estimation, some error estimates in L^2 between the real solution and the approximate solution were obtained.