两点边值问题插值算子压缩性质及其有限元迭代校正

The iteration defect correction and the“contractity”of the interpolation operator for two-point boundary value problems

本文研究了两点边值问题插值算子的性质,证明了其插值算子具有压缩性及其有限元迭代校正解收敛,并给出了数值例子。最后还对一次与三次和二次与四次插值算子之间的压缩性作出了讨论。

In this paper,we have discussed the approximation property of interpolation operator for two-point boundary value problems.Then we have proven the property which is so called “contractivity” of interpolation operator .In addition, we have proven that the iterated defect correction is convergent and give some numeric tests as experiments for theory results.Finally,we have discussed the “contractivity” of some other interpolation operators.