TY  - EJOU
AU  - Song, Rencheng  
AU  - Chen, Wen  

TI  - An investigation on the regularized meshless method for irregular domain problems
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2009
VL  - 42
IS  - 1
SN  - 1526-1506

AB  - The regularized meshless method (RMM) is a novel boundary-type meshless method but by now has mainly been tested successfully to the regular domain problems in reports. This note makes a further investigation on its solution of irregular domain problems. We find that the method fails to produce satisfactory results for some benchmark problems. The reason is due to the inaccurate calculation of the diagonal elements of the numerical discretization matrix in the original RMM, which have strong effect on the resulting solution accuracy. To overcome this severe drawback, this study introduces the weighted diagonal element approach. Our numerical experiments demonstrate the effectiveness and accuracy of the present RMM technique.
KW  - Regularized meshless method
KW  -  irregular domain
KW  -  desingularization technique
KW  -  weighted diagonal element approach
KW  -  numerical integration

DO  - 10.3970/cmes.2009.042.059