对于第一边界值问题,发展了一种使试验函数不必满足边界条件的有限元法,指出了此种新的处理具有通常有限元法应该有的稳定性与最佳收敛性特征。

Zhou Tien-hsiao

We consider the finite element methods with trial functions not fulfilling essential boundary conditions. the variational formulation of“Saddle-point”type is applied. The convergent error estimates of optimal order of ccuracy are derived. The resulting schemes have same numerical stability as R tz finite element methods.