Analysis of Irregular Node Distribution in Meshless Local Petrov–Galerkin Method
摘要
The paper presents a study of irregular node distribution in a regular geometry for meshless local Petrov–Galerkin (MLPG) analysis of heat conduction. The effect of irregularity is evaluated on the basis of MLPG solution error. Steady state heat conduction in a cube is taken as the model test problem. A comparative study has been performed to compare the performance of irregular node distribution with the regular node distribution (without irregularity). The results show a noteworthy effect of irregularity in terms of MLPG solution error. It is exhibited from the results that irregular node distribution achieves desired solution in lesser nodes than the regular node distribution. Hence, CPU time required is lesser for the irregular node distribution. Thus, the study suggests the suitability of irregular node distribution for solving regular geometry problems.