Affiliations: [a] State Key Laboratory of Power Transmission Equipment
and System Security and New Technology, School of Electrical Engineering,
Chongqing University, Chongqing, China | [b] Department of Electrical Engineering, University of
Mississippi, University, MS, USA
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.:
+86 139 9628 9198; Fax: +86 023 6510 5242; E-mail: yangfancqu@gmail.com
Abstract: In this paper, an improved MLPG method has been introduced to
simplify the algorithm and thus make it more suitable for dealing with
engineering problems with complex domains. In the case of a complex domain with
an irregular global boundary, it can be very hard to determine the
intersections between the local sub-domains and the global boundary. The
improvements of the MLPG method make the MLPG method only require the domain
integrations. The intersections between local sub-domains and the global
boundary as well as boundary integrations have been avoided. A rectangular
problem domain and a circular problem domain with exact solutions have been
studied in this paper to investigate the accuracy of the improved MLPG method.
The results show that compared to the regular MLPG method, the improved MLPG
method can have the same accuracy, but the improved method is much easier to
deal with irregular boundaries or complex problem domains.
Keywords: Local Petrov-Galerkin method, meshless, electromagnetic problems
