A NONCONFORMING MIXED FINITE ELEMENT METHOD FOR MAXWELL'S EQUATIONS
A NONCONFORMING MIXED FINITE ELEMENT METHOD FOR MAXWELL'S EQUATIONS
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DOI：
10.1142/s021820250000032x
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发表时间：
2000-06
影响因子：
3.5
通讯作者：
J. Douglas;J. Santos;D. Sheen
中科院分区：
文献类型：
--
作者：
J. Douglas;J. Santos;D. Sheen
本文提出了一种求解三维有界区域中时谐麦克斯韦方程组的混合有限元方法，该方法在人工边界上具有吸收边界条件。数值方法被用来解决大地电磁学中的直接问题，包括在确定一个散射电磁场的地球模型具有有界电导率异常的任意形状。一个域分解迭代算法，这是自然的并行化，是基于混合方法的杂交允许大型三维模型的解决方案。证明了混合法的逼近收敛性和迭代收敛性。
We present a nonconforming mixed finite element scheme for the approximate solution of the time-harmonic Maxwell's equations in a three-dimensional, bounded domain with absorbing boundary conditions on artificial boundaries. The numerical procedures are employed to solve the direct problem in magnetotellurics consisting in determining a scattered electromagnetic field in a model of the earth having bounded conductivity anomalies of arbitrary shapes. A domain-decomposition iterative algorithm which is naturally parallelizable and is based on a hybridization of the mixed method allows the solution of large three-dimensional models. Convergence of the approximation by the mixed method is proved, as well as the convergence of the iteration.