Fix-point linearization schemes for nonlinear steady-state eddy current problems

✍ Scribed by E. Janíková; M. Slodička

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 223 KB
• Volume: 30
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.865

✦ Synopsis

Abstract

We study a nonlinear degenerate partial differential equation strongly motivated by the modelling of processes in type‐II superconductors in a bounded domain along with appropriate boundary conditions. We design a robust and efficient linear approximation scheme based on fix‐point principle. We prove the convergence of approximations to a weak solution of the original problem. Some numerical experiments are presented in order to illustrate the efficiency of the proposed method. Copyright © 2007 John Wiley & Sons, Ltd.