Energy methods for Cauchy problems of evolutions equations

In the present paper a numerical method based on minimizing energy functionals, is developed for solving Cauchy problem of evolution equations. Two cases are treated: the parabolic equations as the heat equations and the hyperbolic ones as the elastodynamics equations. The method is first presented...

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Bibliographic Details
Published in:Journal of physics. Conference series 2008-11, Vol.135 (1), p.012007
Main Authors: Andrieux, Stephane, Baranger, Thouraya Nouri
Format: Article
Language:English
Subjects:
Cauchy problems
Elastodynamics
Energy methods
Mathematical analysis
Numerical methods
Physics
Thermodynamics
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Summary:In the present paper a numerical method based on minimizing energy functionals, is developed for solving Cauchy problem of evolution equations. Two cases are treated: the parabolic equations as the heat equations and the hyperbolic ones as the elastodynamics equations. The method is first presented in some details, then, illustrated on various applications.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/135/1/012007