A posteriori error estimates for the solution of nonlinear ill-posed operator equations

被引：10

作者：

Scherzer, O ^{[1
]}

机构：

[1] Johannes Kepler Univ Linz, Inst Ind Math, A-4040 Linz, Austria

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 45卷 / 04期

基金：

奥地利科学基金会;

关键词：

nonlinear ill-posed problems; a posteriori error estimates; regularization methods; two-level methods;

D O I：

10.1016/S0362-546X(99)00413-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Many practical problems in scientific computing reduce to the problem of approximately minimizing a so-called output least-squares functional. This involves the use of a nonlinear differentiable operator between real Hilbert space X and Y. The two important problems that arise namely the inverse (and ill-posed problems) and the nonlinear differential equations are discussed.

引用

页码：459 / 481

页数：23

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