Energy methods for Cauchy problems of evolutions equations
Résumé
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.
Domaines
- Mécanique [physics.med-ph]
- Equations aux dérivées partielles [math.AP]
- Mécanique des solides [physics.class-ph]
- Biomécanique [physics.med-ph]
- Biomécanique [physics.med-ph]
- Vibrations [physics.class-ph]
- Vibrations [physics.class-ph]
- Optimisation et contrôle [math.OC]
- Génie mécanique [physics.class-ph]
- Génie mécanique [physics.class-ph]
- Thermique [physics.class-ph]
- Thermique [physics.class-ph]
- Mécanique des structures [physics.class-ph]
- Mécanique des structures [physics.class-ph]
- Mécanique des solides [physics.class-ph]