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Analysis of Thin Wires Using Higher-Order Elements and Basis Functions

机译：用高阶元和基函数分析细线

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Thin wire analysis was applied to curved wire segments in (1), but a special procedure was needed to evaluate the self and near-self terms. The procedure involved associating the singular behavior with a straight segment tangent to the curved source segment, permitting use of algorithms for straight wires. Recently, a procedure that avoids the singularity extraction for straight wires was presented in (2-4). In this paper, the approach in (4) is applied to curved (or higher-order) wires using a procedure similar to that used in (1) for singularity extraction. Here, the straight tangent segment is used to determine the quadrature rules to be used on the curved segment. The result is a formulation that allows for a general mixture of higher-order basis functions (5) and higher-order wire segments.

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