Affiliations: [a] Power Transmission Line Galloping Prevention and Control Technology Laboratory of State Grid, State Grid Henan Electric Power Research Institute, Zhengzhou, Henan, China | [b] Technique and Information Center of CPI Henan Company, Zhengzhou, Henan, China
Correspondence:
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Corresponding author: Zehui Liu, Power Transmission Line Galloping Prevention and Control Technology Laboratory of State Grid, State Grid Henan Electric Power Research Institute, Zhengzhou, Henan 450052, China. Tel.: +86 13613812560; Fax: +86 0371 67977052; E-mail:[email protected]
Note: [1] This work is supported by Science-technology Program of State Grid Corporation of China(521700140004).
Abstract: A direct coupling method is developed for coupling
meshless methods such as the MLPG and FEM. The radial point interpolation
method with polynomial terms (RPIMp) which lead to a shape function that
indeed obeys the Kronecker delta property are used to approximate the trial
functions in the MLPG. This important property make the MLPG method could
couple the FEM directly as other coupling method must use additional
techniques. An electromagnetic problem governed by the Poisson's equation
and nonlinear ionized field examples are given in this paper. The results,
which are compared with both the exact solutions and solutions obtained from
the FEM, show that the method in this paper could couple the MLPG FEM
directly without any additional numerical techniques. The paper offer an
coupling method by making full use of the MLPG and FEM advantages to deal
with engineering problems and more difficult problem geometries.
Keywords: Meshless local petrov-galerkin method (MLPG), meshless, finite element method (FEM), coupling method
