2011•Unpublished venueRequires access

Local orthogonal meshless method in electromagnetic numerical calculation

Weihe Ren, Maohui Xia, Li Ying, Yupeng Zhai

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Abstract

Orthogonal meshless method is based on an improved mobile least-squares approximation, IMLS approximate calculation of approximate have higher accuracy and efficiency than MLS, the system equation won't produce pathological; When structural orthogonal basis shape function derivative need to undertake trivial derived. The local orthogonal basis function has the same attributes as the primitive orthogonal basis function; its derivatives have much simpler expressions, higher efficiency. And it apply to electromagnetic field, the discrete model is established. Through numerical column proves the method feasibility and effectiveness.

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What this paper is about

Orthogonal meshless method is based on an improved mobile least-squares approximation, IMLS approximate calculation of approximate have higher accuracy and efficiency than MLS, the system equation won't produce pathological; When structural orthogonal basis shape function derivative need to undertake trivial derived. The local orthogonal basis function has the same attributes as the primitive orthogonal basis function; its derivatives have much simpler expressions, higher efficiency. And it apply to electromagnetic field, the discrete model is established. Through numerical column proves the method feasibility and effectiveness.

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Available abstract

Orthogonal meshless method is based on an improved mobile least-squares approximation, IMLS approximate calculation of approximate have higher accuracy and efficiency than MLS, the system equation won't produce pathological; When structural orthogonal basis shape function derivative need to undertake trivial derived. The local orthogonal basis function has the same attributes as the primitive orthogonal basis function; its derivatives have much simpler expressions, higher efficiency. And it apply to electromagnetic field, the discrete model is established. Through numerical column proves the method feasibility and effectiveness.

Key concepts: Basis function, Moving least squares, Orthogonal basis, Orthogonal functions, Basis (linear algebra), Empirical orthogonal functions, Function (biology), Applied mathematics

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