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An efficient meshless method based on a new shape function. (English) Zbl 1207.78009

The authors propose an approach to achieve a shape function for meshless methods. This shape function can be constructed directly and there is no need to calculate a matrix inversion, which often leads to simulation time reduction. Numerical simulations illustrate the accuracy of the method in the framework of two 2D electrostatic problems on the rectangular box and on the coaxial line.

MSC:

78A30 Electro- and magnetostatics
78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
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References:

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