Local orthogonal meshless method in electromagnetic numerical calculation
Weihe Ren, Maohui Xia, Li Ying, Yupeng Zhai
Abstract
Weihe Ren, Maohui Xia, Li Ying, Yupeng Zhai
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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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