An investigation on the regularized meshless method for irregular domain problems

作者：Song Rencheng; Chen Wen

来源：Computer Modeling in Engineering & Sciences, 2009, 42(1): 59-70.

• Regularized meshless method
• irregular domain
• desingularization technique
• weighted diagonal element approach
• numerical integration

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.

• 出版日期2009-3
• 单位河海大学; 浙江大学