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Galerkin method for a nonlinear parabolic–elliptic system with nonlinear mixed boundary conditions

✍ Scribed by Adefemi Sunmonu

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
793 KB
Volume
9
Category
Article
ISSN
0749-159X

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✦ Synopsis

Materials which are heated by the passage of electricity are usually modeled by a nonlinear coupled system of two partial differential equations. The current equation is elliptic, while the temperature equation is parabolic. These equations are coupled one to another through the conductivities and the Joule effect. A computationally attractive discretization method is analyzed and shown to yield optimal error estimates in H ' . 0 1993 John Wiley & Sons, Inc.

'See Freshe [19]

and Keeling I201 for a discussion of these difficulties.

📜 SIMILAR VOLUMES

Periodic Solutions of Parabolic Systems
Periodic Solutions of Parabolic Systems with Nonlinear Boundary Conditions
✍ C.V. Pao 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 174 KB

This paper is concerned with the existence and stability of periodic solutions for a coupled system of nonlinear parabolic equations under nonlinear boundary conditions. The approach to the problem is by the method of upper and lower solutions and its associated monotone iterations. This method lead