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An error indicator for the calculation of global quantities by the p-adaptive finite element method

机译:p自适应有限元方法计算整体数量的误差指标

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摘要

While general error indicators based on assessment of the quality of the field have been successfully used in adaptive finite element methods, here an error indicator that chooses elements based on their contribution to a specified global quantity is presented. This Targeted Error Indicator (TEI) can be applied to single or multiple solution problems. The inductance of a coil wrapped around a C shaped core and the input impedance to two coupled coils serve as examples of global quantities for single and multiple solution cases. When compared to a general error indicator, the TEI leads to more accurate and more rapidly converging global values.
机译:虽然基于场质量评估的一般误差指标已成功地用于自适应有限元方法中,但这里提出了一种误差指标,该指标基于对特定全局数量的贡献来选择元素。此目标错误指示器(TEI)可以应用于单个或多个解决方案问题。缠绕在C形铁芯上的线圈的电感以及两个耦合线圈的输入阻抗用作单个和多个解决方案情况的全局数量示例。与一般错误指标相比,TEI导致更准确,更迅速地收敛全局值。

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