Numerical verification of solutions for a simplified Signorini problem (Q1591946)
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scientific article; zbMATH DE number 1550656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical verification of solutions for a simplified Signorini problem |
scientific article; zbMATH DE number 1550656 |
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Numerical verification of solutions for a simplified Signorini problem (English)
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14 January 2001
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The author proposes a numerical method for the automatic proof of existence of solutions for variational inequalities, which is based on Nakao's method by using a finite element approximation. The proposed method enables to verify the free boundary of a simplified Signorini problem, which has been impossible so far. The author has prepared a digestible exposition of several current methods for the existence of solutions of problems in the area of variational inequalities.
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error estimates
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Signorini problem
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finite element method
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numerical verification
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automatic proof
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variational inequalities
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free boundary
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0.94910705
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0.8975409
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0.8959252
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0.8945843
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0.89432853
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0.8938568
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