Mixed finite element approximation of eddy current problems
Mixed finite element approximation of eddy current problems
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DOI：
10.1093/imanum/24.2.255
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发表时间：
2004-04
影响因子：
2.1
通讯作者：
Ana Alonso Rodríguez;R. Hiptmair;A. Valli
中科院分区：
文献类型：
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作者：
Ana Alonso Rodríguez;R. Hiptmair;A. Valli
完全基于磁场 H 的涡流问题的有限元近似由于需要在非导电区域中强制执行代数约束curlH = 0 而受到困扰。作为采用组合 Seifert（切割）表面以引入标量磁势的技术的替代方案，我们提出了混合多场公式，其强制变分公式中的约束。鉴于切割表面的计算成本昂贵，尽管未知数数量增加，但混合有限元近似是可行的选择。
Finite element approximations of eddy current problems that are entirely based on the magnetic field H are haunted by the need to enforce the algebraic constraint curlH = 0 in non-conducting regions. As an alternative to techniques employing combinatorial Seifert (cutting) surfaces in order to introduce a scalar magnetic potential, we propose mixed multi-field formulations, which enforce the constraint in the variational formulation. In light of the fact that the computation of cutting surfaces is expensive, the mixed finite element approximation is a viable option despite the increased number of unknowns.