Meshless Local Petrov-Galerkin Method For Confined Steady Well Flow Of Groundwater

Content:There are many meshless methods in solving numerical value ofpartial differential equation at present.Among these,the Meshless Lo-cal Petrov-Galerkin(MLPG)method was a truly meshless one,as it dosenot need to divide mesh in any form,all integrals could be easily eval-uated over regularly shaped subdomains and their boundaries.Thismethod is summarized in this paper.Based on this,it applied MLPGto the solution of steady well flow of groundwater.There are four chap-ters.The first chapter is forward.We mainly introduce the backgroundof the meshless method especially MLPG and analyse and summa-rize the development of MLPG recently.The second chapter is prelim-inary of knowledge.Firstly, we review a important and basic methodof numerically solving partial differential equation-Weighted Resid-ual Methods.Secondly, Moving Least Square Approximation and Ra-dial Basis Function Approximation are both given. In chapter three,weapply MLPG to solve the math model of groundwater steady wellflow,especially discuss the handle of well point.Further,it gives the al-gorithm of this model and procedure in this paper, and checks theexperiment result through calculating on computer.Numerical studiesshow that the method improves the approximation significantly.In thelast chapter,it recount summary and forecast of MLPG.