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Application of Higher Order Hierarchical Vector Finite Element Method in Multicomponent Electromagnetic Induction Problem

机译:高阶层次矢量有限元法在多组分电磁感应问题中的应用

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Multicomponent induction logging responses are simulated by using higher order hierarchical vector finite element method (FEM). To improve computational efficiency, hierarchical mixed order vector basis functions are applied to FEM. Different order basis functions are used in different elements in accordance with the changing speed of the field. The mixed order scheme reduces greatly the number of unknowns without reducing accuracy, and can attain much higher computational efficiency. The numerical results shown demonstrate the validity and efficiency of the scheme.
机译:通过使用高阶分层矢量有限元方法(FEM)模拟多组分感应测井响应。为了提高计算效率,将分层混合阶载量向量基函数应用于FEM。根据字段的变化速度,在不同元素中使用不同的顺序基函数。混合订单方案大大降低了未降低精度的未知数数量,并且可以获得更高的计算效率。显示的数值结果证明了该方案的有效性和效率。

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