A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems (Q1849714)
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scientific article; zbMATH DE number 1837412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems |
scientific article; zbMATH DE number 1837412 |
Statements
A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems (English)
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1 December 2002
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This paper deals with a multi-grid method for the numerical solution of systems of nonlinear equations arising from the discretization of ill-posed problems in Hilbert space. The authors provide uniform contraction factor estimates and show that a nested multigrid iteration together with an a priori or a posteriori choosen stopping index defines a regularization method for the ill-posed problem. A numerical verification of the obtained theoretical results is presented.
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nonlinear problems
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multi-grid methods
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Hilbert spaces
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regularization
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ill-posed problems
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stopping index
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