A refined Newton's mesh independence principle for a class of optimal shape design problems (Q861584)
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scientific article; zbMATH DE number 5119623
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A refined Newton's mesh independence principle for a class of optimal shape design problems |
scientific article; zbMATH DE number 5119623 |
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A refined Newton's mesh independence principle for a class of optimal shape design problems (English)
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29 January 2007
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The author considers an approach to solve a class of smooth optimization problems in infinite-dimensional spaces via Newton's method applied to the discretized problems. Under additional Lipschitz continuity type assumptions he establishes various accuracy estimates for this discretized method with respect to the initial problem, including the radius of convergence.
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Newton's method
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discrete approximation
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radius of convergence
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0.9880055
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0.9032513
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0.8849576
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0.8745922
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0.8723304
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0.8717637
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0.87013173
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