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进行渗流有限元法计算的过程中,常使用高斯—赛德尔迭代法,它的优点是计算速度快,没有累积误差。但是在迭代过程中是否会出现发散现象?即使迭代过程是收敛的,那么它是否可以收敛在问题的精确解上?误差如何?此外,在什么情况下计算的结果可以是稳定的?本文将对这些问题进行探讨。
The Gaussian Seidel iteration method is often used in the calculation of the seepage finite element method. Its advantage is that the calculation speed is fast and there is no cumulative error. But is there a divergence during the iteration process? Even if the iterative process is convergent, can it converge on the exact solution of the problem? What is the error? Also, under what conditions can the result of the calculation be stable? These issues are discussed.