The Coulomb gauged vector potential formulation for the eddy-current problem in general geometry : Well-posedness and numerical approximation
The Coulomb gauged vector potential formulation for the eddy-current problem in general geometry : Well-posedness and numerical approximation
复制标题
一般几何中涡流问题的库仑计量矢量势公式：适定性和数值近似
DOI：
10.1016/j.cma.2006.10.008
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发表时间：
2007
影响因子：
7.2
通讯作者：
A. Valli
中科院分区：
文献类型：
--
作者：
O. Bíró;A. Valli
本文证明了在一般几何情形下，时谐麦克斯韦方程组涡流问题的库仑规范矢势形式是适定的，即，它的解决办法是存在的，而且是唯一的。此外，还证明了其节点元有限元逼近的拟最优误差估计。为了说明有限元算法的性能，一些数值结果也被提出。
In this paper we prove that, in a general geometric situation, the Coulomb gauged vector potential formulation of the eddy-current problem for the time-harmonic Maxwell equations is well-posed, i.e., its solution exists and is unique. Moreover, a quasi-optimal error estimate for its finite element approximation with nodal elements is proved. To illustrate the performances of the finite element algorithm, some numerical results are also presented.