A New Approach to Asymptotic Behavior for a Finite Element Approximation in Parabolic Variational Inequalities | Zendy

Salah Boulaaras | Zendy; Mohamed Haiour | Zendy

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A New Approach to Asymptotic Behavior for a Finite Element Approximation in Parabolic Variational Inequalities

Author(s) -

Salah Boulaaras,

Mohamed Haiour

Publication year - 2011

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2011/703670

Subject(s) - variational inequality , uniqueness , mathematics , simple (philosophy) , norm (philosophy) , finite element method , convergence (economics) , mathematical analysis , iterative method , mathematical optimization , physics , philosophy , epistemology , political science , law , economics , thermodynamics , economic growth

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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