Affiliations: [a] State Key Laboratory of Power Transmission Equipment
and System Security and New Technology, School of Electrical Engineering,
Chongqing University, Chongqing, China | [b] Zhengzhou Power Supply Company, Zhengzhou, Henan,
China
Correspondence:
[*]
Corresponding author: Fan Yang, State Key Laboratory of Power
Transmission Equipment and System Security and New Technology, School of
Electrical Engineering, Chongqing University, Chongqing 400040, China. Tel.:
+86 1399 6289 198; Fax: +86 0236 5105 242; E-mail: yangfancqu@gmail.com
Abstract: In the MLPG method of this paper, only the boundary integrations
over local subdomains is involved, which make the MLPG method is very easy to
carry out because the local sub-domains are chosen in MLPG method as simple
circular or rectangular ranges. In order to simplify the MLPG method, the
radius of local sub-domains has been adjusted for the nodes close to the global
boundary but not exactly on the boundary. In addition, the boundary conditions
including the essential and natural boundary are imposed directly by the nodes
which are exactly on the global boundary. Two electromagnetic models have been
studied in this paper to investigate the accuracy and computational efficiency
of the MLPG method. The results, which are compared with the solutions obtained
from the MLPG in the reference and the FEM, show that the MLPG method in this
paper can obtain more accurate results by using fewer nodes.
Keywords: Local Petrov-Galerkin method, meshless, electromagnetic problems
