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A T-ψ FINITE ELEMENT METHOD FOR A NONLINEAR DEGENERATE EDDY CURRENT MODEL WITH FERROMAGNETIC MATERIALS.
- Source :
-
International Journal of Numerical Analysis & Modeling . 2015, Vol. 12 Issue 4, p636-663. 28p. - Publication Year :
- 2015
-
Abstract
- This paper is devoted to the study of a fully discrete T-ψ finite element method based on H-decomposition to solve a nonlinear degenerate transient eddy current problem with ferromagnetic materials. Here, the ferromagnetic properties are linked by a power material law. We first design a nonlinear time-discrete scheme for approximation in suitable function spaces. We show the well-posedness of the semidiscrete problem and prove the convergence of the nonlinear scheme by the Minty-Browder technique. Finally, we suggest a fully discrete scheme, derive its error estimate and give some numerical experiments to validate the theoretical result. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17055105
- Volume :
- 12
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Numerical Analysis & Modeling
- Publication Type :
- Academic Journal
- Accession number :
- 103112691