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3-D Magnetotelluric Adaptive Finite-Element Modeling

机译:3-D大地电磁自适应有限元建模

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Aiming at three principal problems existing in traditional node-based finite-element method when modeling MT problems, this paper proposed an adaptive vector-based finite-element method with unstructured mesh. On the basis of 3-D finite-element formulae, it introduces a residual-based posteriori error estimator. Then, it presents the adaptive refinement strategy and computation flow. The test of a homogenous earth model and two anomalies with high resistivity model show that the numerical solutions enable the convergence to the exact results with a maximal average error less than a percentage value of 1%. Thus, it can be concluded that the h-adaptive vector finite-element method can guarantee the accuracy and efficiency of complicated models, through which its great potential is displayed.
机译:针对传统的基于节点的有限元方法在MT问题建模中存在的三个主要问题,提出了一种非结构化网格的基于矢量的自适应有限元方法。在3-D有限元公式的基础上,引入了基于残差的后验误差估计器。然后,提出了自适应细化策略和计算流程。对均质地球模型和两个具有高电阻率模型的异常的测试表明,数值解使得收敛到精确结果的过程中,最大平均误差小于1%的百分比值。因此,可以得出结论,h自适应矢量有限元方法可以保证复杂模型的准确性和效率,从而显示出其巨大的潜力。

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