Error control for a time-discretization of the full one-dimensional Frémond model for shape memory alloys (Q2733871)
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scientific article; zbMATH DE number 1633121
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Error control for a time-discretization of the full one-dimensional Frémond model for shape memory alloys |
scientific article; zbMATH DE number 1633121 |
Statements
12 August 2001
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shape memory alloys
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error estimate
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semi-implicit time discretization
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Frémond thermomechanical model
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structural phase transitions
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convergence
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0.9006659
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0.8959179
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0.89528966
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0.87182224
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0.87137806
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0.86896724
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0.8634806
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Error control for a time-discretization of the full one-dimensional Frémond model for shape memory alloys (English)
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The author describes a semi-implicit time discretization with variable step for a one-dimensional initial value problem related to the Frémond thermo-mechanical model of structural phase transitions in shape memory materials and derives an a priori estimate for the discretization error with optimal order of convergence.
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