抛物型方程混合问题权余解法的变分原理与平均收敛性

THE VARIATIONAL PRINCIPLE AND AVERAGED CONVERGENCE OF THE WEIGHTED RESIDUAL SOLUTION ON PARABOLIC EQUATIONS WITH THE MIXED-TYPE PROBLEM

给出了抛物型方程一类初边值问题的权余算法,证明了相应的变分原理和权余解的平均收敛性。

The weighted residual algorithm is given on the parabolic equations with the initial value and boundary value problem. The relevant variational principle is proved and the averaged convergence on weighted residual solution is also proved.