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This chapter presents test problems demonstrating that LOC (Local Orthonormal Coordinate) moving frames with the connection 1-form ( \(\omega _{ij}\) ) can compute the covariant derivative with sufficient accuracy. The proposed scheme is applicable to any 2D curved surface, including irregular or non-convex geometries.

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Differential Operators in Moving Frames

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  • 发表日期：

    2026年

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  • Sehun Chun

摘要

This chapter presents test problems demonstrating that LOC (Local Orthonormal Coordinate) moving frames with the connection 1-form ( \(\omega _{ij}\) ) can compute the covariant derivative with sufficient accuracy. The proposed scheme is applicable to any 2D curved surface, including irregular or non-convex geometries.