Convergence of Inverse Power Method for First Eigenvalue of p-Laplace Operator

Convergence of Inverse Power Method for First Eigenvalue of p-Laplace Operator
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p-拉普拉斯算子第一特征值的逆幂法收敛

DOI:
10.1080/01630563.2016.1211682
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发表时间:
2016
影响因子:
1.2
通讯作者:
Farid Bozorgnia
Farid Bozorgnia
中科院分区:
数学4区
文献类型:
--
作者:
Farid Bozorgnia

文献摘要

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本文证明了一种逼近p-Laplace算子第一特征函数及相关特征值的迭代格式的收敛性。最后给出了数值算例,验证了该算法的有效性和精确度。
ABSTRACT In this article, convergence of an iterative scheme to approximate the first eigenfunction and related eigenvalue for p-Laplace operator is shown. Moreover, numerical examples are presented that show the efficiency and accuracy of the algorithm.