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.
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