The worst case complexity of the fredholm equation of the second kind with non-periodic free term and noise information
作者:
Tianzi Jiang,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1998)
卷期:
Volume 19,
issue 3-4
页码: 329-343
ISSN:0163-0563
年代: 1998
DOI:10.1080/01630569808816831
出版商: Marcel Dekker, Inc.
关键词: Complexity;Fredholm equation of the second kind;Finite element method;Finite element information;Noise information;AMS subject classification: 45B05;AMS subject classification: 65R20
数据来源: Taylor
摘要:
This paper deals with the complexity of the Fredholm equationof the second kind with. The problem elements are free term f and belong to the unit ball of [math03]. Available information about the problem consists of evaluations of f and is assumed to be corrupted by uniformly bounded noise. The absolute error in each noisy evaluation is at most δ. First, we give estimation of the n-th optimal radius in the worst case setting. Then, we show that a noisy finite element method with quadrature (FEMQ) has minimal error. Finally, we give the estimate of €complexity of Fredholm problem of the second kind in the worst case setting. To the best of our knowledge, this is the first work on complexity of integral equation with noisy information
点击下载:
PDF (1033KB)
返 回