A new approach to asymptotic behavior for a finite element approximation in parabolic variational inequalities (Q642853)
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scientific article; zbMATH DE number 5964500
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new approach to asymptotic behavior for a finite element approximation in parabolic variational inequalities |
scientific article; zbMATH DE number 5964500 |
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A new approach to asymptotic behavior for a finite element approximation in parabolic variational inequalities (English)
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27 October 2011
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Summary: The paper deals with the theta time scheme combined with a finite element spatial approximation of parabolic variational inequalities. The parabolic variational inequalities are transformed into noncoercive elliptic variational inequalities. A simple result to time energy behavior is proved, and a new iterative discrete algorithm is proposed to show the existence and uniqueness. Moreover, its convergence is established. Furthermore, a simple proof to asymptotic behavior in uniform norm is given.
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theta time scheme
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finite element
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parabolic variational inequalities
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noncoercive elliptic variational inequalities
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iterative discrete algorithm
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convergence
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