Numerical analysis of a transient eddy current axisymmetric problem involving velocity terms

被引：12
作者：
Bermudez, Alfredo [2 ]
Reales, Carlos [1 ]
Rodriguez, Rodolfo [3 ]
Salgado, Pilar [2 ]
机构：
[1] Univ Cordoba, Dept Matemat & Estadist, Monteria, Colombia
[2] Univ Santiago de Compostela, Dept Matemat Aplicada, Santiago De Compostela 15706, Spain
[3] Univ Concepcion, CI2MA, Dept Ingn Matemat, Concepcion, Chile
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 28卷 / 03期
关键词：
computational electromagnetism; degenerate parabolic problem; eddy current problem; finite elements; transient electromagnetics; FINITE-ELEMENT SOLUTION; OF-THE-ART; MAXWELL EQUATIONS; MAGNETIC-FIELD; SIMULATION; FURNACES; MODEL;
D O I：
10.1002/num.20670
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this article is to analyze a transient axisymmetric electromagnetic model involving velocity terms in the Ohm's law. To this end, we introduce a time-dependent weak formulation leading to a degenerate parabolic problem and establish its well posedness.We propose a finite-element method for space discretization and prove well posedness and error estimates. Then, we combine it with a backward Euler time discretization and prove stability and error estimates. Finally, numerical results assessing the performance of the method are reported. (c) 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2011
引用
收藏
页码：984 / 1012
页数：29
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