Matrix Representations for Vector Differential Operators in General Orthogonal Coordinates |
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Authors: | Š. Višňovský |
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Affiliation: | (1) Institut d'Electronique Fondamentale, Université Paris-Sud XI d'Orsay, Bâtiment 220, 91 405 Orsay Cedex, France |
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Abstract: | The restrictions in arbitrary orthogonal coordinates to a unified matrix presentation of vector operations using generalized differential matrix operators [Y. Chen et al.: IEEE Trans. on Educ., Vol. 41, (1998), p. 61] are pointed out. The corrected matrix representation for the operations (A) and B(A) valid in arbitrary orthogonal curvilinear coordinates are obtained and shown to be consistent with the calculation using the dyadic technique. The presentation is accessible to undergraduate students. |
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Keywords: | nabla curvilinear orthogonal coordinates |
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