An eddy current problem with a nonlinear evolution boundary condition

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Vrabel, Vladimir¹  Slodicka, Marian¹ 

[1] Univ Ghent, Dept Math Anal, B-9000 Ghent, Belgium

关键词: Nonlinear evolution boundary condition;    Eddy current problem;    Discretization;    Error estimates;   

DOI  :  10.1016/j.jmaa.2011.08.067

来源: Elsevier

【 摘 要 】

Our paper is devoted to a study of an eddy current problem with a nonlinear evolution degenerate boundary condition of the type nu x E = nu x partial derivative(t)a(H x nu) with a powerlaw nonlinearity. We have designed a nonlinear numerical scheme for approximation in suitable function spaces. The well-posedness of the problem is addressed and the error estimates are derived. Monotonicity methods and the Minty-Browder argument are used in the proofs. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free